Statistical Mechanics · Cross-listed from quant-ph
Conserved quantities enable the quantum Mpemba effect in weakly open systems
Iris Ulčakar, Rustem Sharipov, Gianluca Lagnese et al. (+1 more)
Observation of the
quantum Mpemba effect has spurred much interest in its enabling conditions and its relation to the classical counterpart. Here, we consider weakly open many-body
quantum systems initialized in different thermal states and examine when the initially farther state relaxes to the (non-
equilibrium) steady state faster. We claim that the number of conserved quantities in the
unitary part plays a crucial role: the Mpemba effect is possible only when the
Hamiltonian commutes with other extensive operators or is integrable. The reason lies in the dynamical
evolution happening in spaces of different dimensions. When energy is the only approximately conserved quantity, dissipation pushes the dynamics within a single-parameter
manifold of different thermal states. In contrast, for
Hamiltonians with several conserved quantities, the dynamics drift in the multi-dimensional space of generalized Gibbs ensembles, whose distance to the steady state is less trivial. We provide numerical results for large system sizes using tensor networks and free-
fermion techniques, thereby supporting our claim.
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All authors Iris Ulčakar, Rustem Sharipov, Gianluca Lagnese, Zala Lenarčič
Strongly Correlated Electrons · Cross-listed from quant-ph
Scalable Quantum Computational Science: A Perspective from Block-Encodings and Polynomial Transformations
Kevin J. Joven, Elin Ranjan Das, Joel Bierman et al. (+3 more)
Significant developments made in
quantum hardware and error correction recently have been driving
quantum computing towards practical utility. However, gaps remain between abstract
quantum algorithmic development and practical applications in computational sciences. In this Perspective article, we propose several properties that scalable
quantum computational science methods should possess. We further discuss how block-encodings and
polynomial transformations can potentially serve as a unified framework with the desired properties. Recent advancements on these topics are presented including construction and assembly of block-encodings, and various generalizations of
quantum signal processing (QSP)
algorithms to perform
polynomial transformations. The scalability of QSP methods on parallel and distributed
quantum architectures is also highlighted. Promising applications in simulation and observable estimation in chemistry, physics, and optimization problems are presented. We hope this Perspective serves as a gentle introduction of state-of-the-art
quantum algorithms to the computational science community, and inspires future development on scalable
quantum computational science methodologies that bridge theory and practice.
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All authors Kevin J. Joven, Elin Ranjan Das, Joel Bierman, Aishwarya Majumdar, Masoud Hakimi Heris, Yuan Liu
Statistical Mechanics · Cross-listed from quant-ph
Adiabatic reverse annealing is robust to low-temperature decoherence
An Le and Christopher L. Baldwin
Adiabatic reverse annealing (ARA) is an improvement to conventional
quantum annealing (QA) that uses an initial guess at the desired ground state to circumvent problematic phase transitions. Despite encouraging results in the closed-system setting, Ref. [1] has suggested on the basis of numerical simulations that ARA may lose its advantage in the presence of decoherence. Here, we revisit this problem from a more analytical perspective. Using the $p$-
spin model as a solvable example, together with the adiabatic master equation to describe the effects of the environment (valid at weak coupling), we show that ARA can in fact succeed in open systems but that the temperature of the environment plays a key role. We first demonstrate that, in the adiabatic limit, the system will follow the instantaneous
equilibrium state as long as the protocol does not pass through any (finite-temperature) phase transitions. Given this, there are two distinct mechanisms by which ARA can break down at high temperature: either there are no paths that avoid transitions, or the
equilibrium state itself is disordered. When the temperature is sufficiently low that neither of these occur, then ARA succeeds. Remarkably, there are even situations in which the environment benefits ARA: we find parameter values for which no transition-avoiding paths exist at zero temperature but such paths appear at non-zero temperature.
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Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Hybrid-spin decoupling for noise-resilient DC quantum sensing
So Chigusa, Masashi Hazumi, Ernst David Herbschleb et al. (+3 more)
The excellent sensitivities of
quantum sensors are a double-edged sword: minuscule quantities can be observed, but any undesired signal acts as noise. This is challenging when detecting quantities that are obscured by such noise. Decoupling sequences improve coherence times and hence sensitivities, though only AC signals in narrow frequency bands are distinguishable. Alternatively, comagnetometers operate gaseous
spin mixtures at high temperatures in the self-compensating regime to counteract slowly varying noise. These are applied with great success in various exotic
spin-interaction searches. Here, we propose a method that decouples specific DC fields from DC and AC
magnetic noise. It requires any
spin cluster where the effect on each individual
spin is different for the target field and local
magnetic fields, which allows for a different approach compared to comagnetometers. The presented method has several key advantages, including an orders-of-magnitude increase in noise frequencies to which we are resistant. We explore electron-
spin nuclear-
spin pairs in nitrogen-vacancy centres in diamond, with a focus on their merit for light dark-matter searches. Other applications include gradient sensing,
quantum memory, and gyroscopes.
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All authors So Chigusa, Masashi Hazumi, Ernst David Herbschleb, Yuichiro Matsuzaki, Norikazu Mizuochi, Kazunori Nakayama
Statistical Mechanics · Cross-listed from hep-th
Vijay Balasubramanian, Hanzhi Jiang and Simon F. Ross
We study the real-time dynamics of multi-party
entanglement signals in chaotic
quantum many-body systems including but not necessarily restricted to
holographic conformal field theories. We find that scrambling dynamics generates multiparty
entanglement with rich structure including: (a) qualitatively different dynamical behaviours for different signals, likely reflecting different dynamics for different kinds of
entanglement patterns, (b) discontinuities indicating dynamical phase transitions in the
entanglement structure, (c) transient and non-monotonic multiparty
entanglement, and (d) periods during which the extensive
entanglement of some regions is entirely multipartite. Our main technical tool is the membrane theory of
entanglement dynamics.
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Superconductivity · Cross-listed from quant-ph
Magnetically induced Josephson nano-diodes in field-resilient superconducting microwave circuits
Benedikt Wilde, Mohamad Kazouini, Timo Kern et al. (+5 more)
The development of nonlinear and frequency-tunable superconducting microwave
circuits for operation in large
magnetic fields is of high relevance for hybrid
quantum systems such as
spin resonance spectrometers, microwave
quantum magnonics, dark matter
axion detectors or flux-mediated optomechanics. With these exciting perspectives in mind, we investigate niobium-based
circuits with integrated nano-constriction
quantum interferometers in
magnetic in-plane fields of up to several hundred mT. Our experiments reveal an unexpected and pronounced field-induced asymmetry in the bias-flux response of the
circuits, which is demonstrated to originate from a field-induced Josephson-diode effect within the nano-constrictions and which enhances the
circuit figures of merit in a
magnetic field. An intuitive macroscopic Josephson-diode model attributes the effect to inhomogeneous constriction properties and provides us with the diode current-phase relation as a function of the in-plane field. Finally, we demonstrate that in the diode-state the
circuit Kerr nonlinearity is bimodal in frequency, not only eliminating alternative explanations for the bias-flux-asymmetries but also being potentially useful for
quantum circuit applications. Overall, our report underlines the potential of niobium nano-constriction
circuits for high-field hybrid
quantum systems, provides a conceptually simple explanation for the diode effect in superconducting nano-structures, and reveals the untapped potential of combining Josephson nano-diodes with microwave
quantum circuits.
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All authors Benedikt Wilde, Mohamad Kazouini, Timo Kern, Kevin Uhl, Christoph Füger, Dieter Koelle, Reinhold Kleiner, Daniel Bothner
Strongly Correlated Electrons
Quasiparticle Variational Quantum Eigensolver
Saavanth Velury and Yuxuan Wang
We propose a momentum-space based variational
quantum eigensolver (VQE) framework for simulating quasiparticle excitations in interacting
quantum many-body systems on near-term
quantum devices. Leveraging translational invariance and other
symmetries of the
Hamiltonian, we reconstruct the momentum-resolved quasiparticle excitation spectrum through targeted simulation of low-lying excited states using VQE. We construct a translationally symmetric variational ansatz designed to evolve a free-
fermion particle-hole excited state with definite momentum $q$ to an excited state of the interacting system at the same momentum, employing a fermionic fast
Fourier transform (FFFT)
circuit coupled to a
Hamiltonian Variational Ansatz (HVA)
circuit. Even though the particle number is not explicitly conserved in the variational ansatz, the correct quasiparticle state is reached by energetic optimization. We
benchmark the performance of the proposed VQE implementation on the XXZ
Hamiltonian, which maps onto the Tomonaga-Luttinger
liquid in the fermionic representation. Our numerical results show that VQE can capture the low-lying excitation spectrum of the bosonic quasiparticle/two-spinon dispersion of this model at various interaction strengths. We estimate the renormalized velocity of the quasiparticles by calculating the slope of the dispersion near zero momentum using the VQE-optimized energies at different system sizes, and demonstrate that it closely matches theoretical results obtained from Bethe ansatz. Finally, we highlight extensions of our proposed VQE implementation to simulate quasiparticles in other interacting
quantum many-body systems.
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Strongly Correlated Electrons
Strained hyperbolic Dirac fermions: Zero modes, flat bands, and competing orders
Christopher A. Leong and Bitan Roy
Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3}
hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac
fermions on a curved space with a constant negative
curvature, displaying a vanishing density of states, we propose spatially modulated hopping pattern therein that preserve the underlying 5- and 7-fold rotational
symmetries, respectively, and effectively couples
fermions to time-reversal symmetric axial
magnetic fields. Such strain-induced axial fields produce a flat band near zero-energy, triggering nucleation of a charge density-wave, featuring a staggered pattern of fermionic density between two sublattices, and the Haldane phase fostering intra-sublattice circulating currents with a net zero
magnetic flux for weak nearest- and next-nearest-neighbor Coulomb repulsions, respectively. Sufficiently weak on-site Hubbard repulsion destabilizes such flat bands toward the formation of a
magnetic phase that simultaneously supports
antiferromagnetic and
ferromagnetic orders in the whole system. While the magnetization in the bulk and boundary cancel each other, the Neél order is of the same sign everywhere, thereby yielding a global antiferromagnet. Throughout, we draw parallels between these findings and the well-studied qualitatively similar results on a 3-fold rotational symmetric strained honeycomb
lattice, thereby unifying the phenomenon of axial
magnetic catalysis for Dirac
fermions, encompassing the ones living on the Euclidean plane. Finally, we show that with a specific class of non-Hermiticity, manifesting via an imbalance in the hopping amplitudes between two sublattices in the opposite directions, magnitudes of all these orders can be boosted substantially when all the
eigenvalues in the noninteracting systems are real, staging a non-Hermitian amplification of axial
magnetic catalysis.
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Materials Science
Revealing Phonon Bridge Effect for Amorphous vs Crystalline Metal-Silicide Layers at Si/Ti Interfaces by a Machine Learning Potential
Mayur Singh, Lokanath Patra, Chengyang Zhang et al. (+4 more)
Metal-
semiconductor interfaces play a central role in micro and nano-electronic devices as heat dissipation or temperature drop across these interfaces can significantly affect device performance. Prediction of accurate thermal boundary resistance (TBR) across these interfaces, considering realistic structures and their correlation with underlying thermal transport, remains challenging. In this work we develop a unified Neuroevolution Potential (NEP) for the Si-Ti system that accurately reproduces energies, forces, and
phonon properties of bulk Si, Ti, and TiSi2 and extends naturally to interfacial environments to analyze interfacial transport. An important development over current machine-learned interatomic potentials is the capability to model complex structures at metal-
semiconductor interfaces, as the NEP enables large scale non-
equilibrium molecular dynamics simulations of epitaxial Si/Ti interfaces to elucidate the effect of amorphous or crystalline silicide interfacial layers. Simulated TBRs show excellent agreement with our time-domain thermoreflectance (TDTR) measurements. Spectral analyses reveal that amorphous TiSi2 interfacial layer helps in efficient interfacial transport when the thickness is less than 1.5 nm compared to the crystalline TiSi2 layer, but this trend reverses when the interfacial layer thickness increases beyond 1.5 nm. Comparison of TBRs at Si/TiSi2 interface for different crystalline phases of TiSi2 establishes that C54 phase has reduced TBR compared to C49 phase, which is correlated with the difference in their
phonon density of states (PDOS) overlap with Si. These results provide atomistic insight into the role of crystalline versus amorphous silicides in interfacial heat transport and demonstrate a transferable machine-learned potential for studying heat dissipation in advanced
semiconductor devices.
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All authors Mayur Singh, Lokanath Patra, Chengyang Zhang, Greg MacDougall, Suman Datta, David Cahill, Satish Kumar
Strongly Correlated Electrons
Stabilizing Fractional Chern States in Twisted MoTe2: Multi-band Correlations via Non-perturbative Renormalization Group
Run Hou and Andriy H. Nevidomskyy
The observation of fraction
quantum Hall states in twisted MoTe2 has sparked a lof of interest in this phenomenon. Most theoretical works to date rely on the brute-force exact diagonalization which is limited to the one partially occupied band. In this work, we present strong evidence that the effect of higher lying bands cannot be ignored due to strong interband interactions. To tackle these effects, we introduce a non-perturbative driven similarity renormalization group (DSRG) method, originally developed for problems in
quantum chemistry. We apply this methodology to twisted MoTe2 at fractional hole fillings of {\nu} = 1/3 and 2/3 across a spectrum of twist angles. Our results show that at {\nu} = 1/3, the many-body excitation energy gaps are substantially reduced compared to the one-band treatment. For {\nu} = 2/3, we find that the dynamic correlations stemming from interband interactions stabilize fractional Chern insulating phases at larger twist angles, consistent with the experimental findings. By examining the correlated orbitals and their single-particle topological features, we demonstrate that this stabilization at higher twist angles arises predominantly from the dynamic correlations, rather than conditions on the single-particle
quantum geometric tensor.
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Strongly Correlated Electrons
Non-Abelian operator size distribution in charge-conserving many-body systems
Mina Tarakemeh and Shenglong Xu
We show that operator dynamics in U(1) symmetric systems are constrained by two independent conserved charges and construct a non-Abelian operator size basis that respects both, enabling a
symmetry-resolved characterization of operator growth. The non-Abelian operator size depends on the operator's nonlocal structure and is organized by an SU(2)
algebra. Operators associated with large total angular momentum are relatively simple, while those with small angular momentum are more complex. Operator growth is thus characterized by a reduction in angular momentum and can be probed using out-of-time-ordered correlators. Using the charge-conserving Brownian Sachdev-Ye-Kitaev model, we derive an exact classical master equation that governs the size distribution, the distribution of an operator expanded in this basis, for arbitrary system sizes. The resulting dynamics reveal that the size distribution follows a chi-squared form, with the two conserved charges jointly determining the overall time scale and the shape of the distribution. In particular, single-particle operators retain a divergent peak at large angular momentum throughout the time
evolution.
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Superconductivity
Quantifying Twist Angles in Cuprate Heterostructures with Anisotropic Raman Signatures
Flavia Lo Sardo, Marina Esposito, Tommaso Confalone et al. (+9 more)
Artificially engineered twisted van der Waals (vdW)
heterostructures have unlocked new pathways for exploring emergent
quantum phenomena and strongly correlated electronic states. Many of these phenomena are highly sensitive to the twist angle, which can be deliberately tuned to tailor the interlayer interactions. This makes the twist angle a critical tunable parameter, emphasizing the need for precise control and accurate characterization during device fabrication. In particular, twisted cuprate
heterostructures based on Bi2Sr2CaCu2O8+x have demonstrated angle-dependent superconducting properties, positioning the twist angle as a key tunable parameter. However, the twisted interface is highly unstable under ambient conditions and vulnerable to damage from conventional characterization tools such as electron microscopy or scanning probe techniques. In this work, we introduce a fully non-invasive, polarization-resolved Raman spectroscopy approach for determining twist angles in artificially stacked BSCCO
heterostructures. By analyzing twist-dependent anisotropic vibrational Raman modes, particularly utilizing the out-of-plane A1g vibrational mode of Bi/Sr at 116 cm-1, we identify clear optical fingerprints of the rotational misalignment between cuprate layers. Our high-resolution confocal Raman setup, equipped with polarization control and RayShield filtering down to 10 cm-1, allows for reliable and reproducible measurements without compromising the material's structural integrity.
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All authors Flavia Lo Sardo, Marina Esposito, Tommaso Confalone, Christophe Tremblay, Valerii M. Vinokur, Genda Gu, Domenico Montemurro, Davide Massarotti, Francesco Tafuri, Kornelius Nielsch, Nicola Poccia, Golam Haider
Strongly Correlated Electrons
Charge-Ordered States and the Phase Diagram of the Extended Hubbard Model on the Bethe lattice
Aleksey Alekseev and Konrad Jerzy Kapcia
We study the extended Hubbard model (EHM) with both onsite Hubbard interaction and the intersite density-density interaction between nearest-neighbors using the standard Hartree mean-field approximation (MFA) on the Bethe
lattice. We found that, at the ground state, the system can be in a charge-ordered band-insulating (COI), a charge-order metallic (COM) or a non-charge-ordered (NO) state. Moreover, the finite-temperature phase diagrams are presented. Several observables like a charge-order parameter, a spectral function, and particularly at finite temperatures, a thermally-excited charge carrier concentration (to visualize the degree of
metallicity) are analyzed. The results show that increasing onsite repulsion suppresses charge order and change the properties of the system from insulating to metallic. Worth noting, that a number of phenomena can be found within the MFA, where their analysis is much simpler than in more advanced approaches. The method used for the EHM on the Bethe
lattice also allows for a series of analytical derivations and simplifications to see general geometry-independent features and analytical results, avoiding the numerical inaccuracies and other issues that appear with a purely numerical solution.
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Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Lindbladian approach for many-qubit thermal machines: enhancing the performance with geometric heat pumping by interaction
Gerónimo J. Caselli, Luis O. Manuel and Liliana Arrachea
We present a detailed analysis of slowly driven
quantum thermal machines based on interacting
qubits within the framework of the Lindblad master equation. By implementing a systematic expansion in the driving rate, we derive explicit expressions for the rate of work of the driving forces, the heat currents exchanged with the reservoirs, and the
entropy production up to second order, ensuring full thermodynamic consistency in the linear-response regime. The formalism naturally separates
geometric and dissipative contributions, identified by a Berry
curvature and a metric in parameter space, respectively. Analytical results show that the
geometric heat pumped per cycle is bounded by $k_B T N_q \ln 2$ for $N_q$ non-interacting
qubits, in direct analogy with the Landauer limit for
entropy change. This bound can be surpassed when
qubit interactions and asymmetric couplings to the baths are introduced. Numerical results for the interacting two-
qubit system reveal a non-trivial role of the interaction between
qubits and the coupling between the
qubits and the baths in the behavior of the dissipated power. The approach provides a general platform for studying dissipation, pumping, and performance optimization in driven
quantum devices operating as heat engines.
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Mesoscale and Nanoscale Physics
Pervasive spin-triplet superconductivity in rhombohedral graphene
Manish Kumar, Derek Waleffe, Anna Okounkova et al. (+6 more)
Magnetic fields typically suppress superconductivity once the Zeeman energy exceeds the pairing gap, unless mechanisms such as unconventional pairing, strong
spin-orbit coupling, or intrinsic magnetism intervene. Several
graphene platforms realize such mitigating routes, exhibiting superconductivity resilient to
magnetic fields. Here we report superconductivity in rhombohedral heptalayer
graphene that is both induced and stabilized by in-plane
magnetic field ($B_{\parallel}$), with critical fields far beyond the Pauli paramagnetic limit. The superconductivity spans a wide gate range and emerges from a sharp zero-field resistive ridge that tracks approximately constant conduction band filling. The presence of zero-field superconductivity and the
evolution of the critical temperature with $B_{\parallel}$ are highly gate sensitive. We also observe a weak superconducting diode effect in several distinct regimes within the superconducting phase, including nearby to an integer
quantum anomalous
Hall state generated by a boron nitride moiré superlattice, indicating a potential coexistence of valley imbalance and superconductivity. These results establish several intriguing new properties of
spin-triplet, field-induced superconductivity in a thick rhombohedral
graphene stack.
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All authors Manish Kumar, Derek Waleffe, Anna Okounkova, Raveel Tejani, Kenji Watanabe, Takashi Taniguchi, Étienne Lantagne-Hurtubise, Joshua Folk, Matthew Yankowitz
Materials Science
Li-P-S Electrolyte Materials as a Benchmark for Machine-Learned Interatomic Potentials
Natascia L. Fragapane and Volker L. Deringer
With the growing availability of machine-learned interatomic potential (MLIP) models for materials simulations, there is an increasing demand for robust, automated, and chemically insightful benchmarking methodologies. In response, we here introduce LiPS-25, a curated
benchmark dataset for a canonical series of solid-state electrolyte materials from the Li2S-P2S5 pseudo-binary compositional line, including crystalline and amorphous configurations. Together with the
dataset, we present a suite of performance tests that range from conventional numerical error metrics to physically motivated evaluation tasks. With a focus on graph-based MLIP architectures, we run numerical experiments that assess (i) the effect of hyperparameters and (ii) the fine-tuning behavior of selected pre-trained ("foundational") MLIP models. Beyond the Li-P-S solid-state electrolytes, we expect that such
benchmarks and their code implementations can be readily adapted to other material systems.
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Mesoscale and Nanoscale Physics
Probing moire excitons in MoSe2/WSe2 heterobilayers by combined micro-photoluminescence and lateral force microscopy
L. Caussou, H. Moutaabbid, M. Bernard et al. (+6 more)
We study interlayer
excitons in MoSe2/WSe2 heterobilayers, by combining lateral force microscopy and micro-photoluminescence spectroscopy. This allows us to correlate the spatial profile of the moiré superlattice with the distribution of optically active states accessible to interlayer
excitons. In
heterostructures where a few degrees twist angle is imposed between the MoSe and WSe crystallographic axes, we show that a continuous moiré
lattice is realized across areas close to the optical diffraction limit. In such regions, the photoluminescence reduces to a few narrow-band lines only, energetically distributed consistently with the geometry of the moiré
lattice. This correlation reveals that interlayer
excitons explore a controlled periodic confinement, paving the way towards implementations of Bose-Hubbard models.
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All authors L. Caussou, H. Moutaabbid, M. Bernard, F. Margaillan, T. Taniguchi, K. Watanabe, C. Lagoin, F. Dubin, V. Voliotis
Materials Science
Leveraging the Bi$_2$O$_3$–Fe$_2$O$_3$ Phase Diagram to Tailor BiFeO$_3$ Structure and Dielectric Response
Subir Majumder, Paul Ben Ishai and Gilad Orr
Advancing the functional performance of bismuth ferrite (BiFeO$_3$) requires precise control over phase stability and microstructure, challenges often complicated by secondary phase formation within the Bi$_2$O$_3$-Fe$_2$O$_3$ system. In this work, we employ a phase-diagram-guided synthesis strategy to clarify the processing-structure-property relationships governing BiFeO$_3$ ceramics. Based on previous reports and our experimental observations, a refined Bi$_2$O$_3$-Fe$_2$O$_3$ phase diagram was constructed identifing the onset of
liquid-phase formation near 835$^\circ$C in Bi-rich compositions. Solid-state synthesis using non-stoichiometric precursor ratios (55$\colon$45 and 70$\colon$30 Bi$_2$O$_3$ $\colon$ Fe$_2$O$_3$) reveals that the 55$\colon$45 composition sintered at 775$^\circ$C favours phase-pure rhombohedral $R3c$ BiFeO$_3$ with suppressed sillenite- and mullite-type
impurities,
lattice contraction, and improved grain uniformity. These structural refinements result in near-Debye dielectric relaxation and a four-orders-of-magnitude enhancement in electrical conductivity relative to lower-temperature or Bi-rich conditions. This work demonstrates the effectiveness of phase-diagram control as a scalable route to tuning dielectric response in BFO-based multiferroics and provides a foundation for processing optimization in complex
oxide ceramics.
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Statistical Mechanics
Out-of-equilibrium spinodal-like scaling behaviors at the thermal first-order transitions of three-dimensional q-state Potts models
Andrea Pelissetto, Davide Rossini and Ettore Vicari
We study the out-of-
equilibrium spinodal-like dynamics of three-dimensional $q$-state Potts systems driven across their thermal first-order transition in the thermodynamic limit, by a relaxational (heat-bath) dynamics. During the
evolution, the inverse temperature $\beta$ increases linearly with time, as $\delta\beta(t)\equiv \beta(t)- \beta_{\rm fo} \sim t/t_s$, where $\beta_{\rm fo}$ is the inverse temperature at the transition point, $t$ is the time and $t_s$ is a time scale. The dynamics starts at $t_i< 0$ from an ensemble of disordered configurations equilibrated at inverse temperature $\beta(t_i)<\beta_{\rm fo}$ and ends at positive values of $t$, when the system is ordered (this is analogous to a standard Kibble-Zurek protocol). The time-dependent energy density shows an out-of-
equilibrium scaling behavior in the large-$t_s$ limit, in terms of the scaling variable $t(\ln t)^\kappa/t_s$. The corresponding exponent turns out to be consistent with $\kappa=3/2$ (with a good accuracy), which is the value obtained by assuming that the initial nucleation of ordered regions provides the relevant mechanism for the passage from one phase to the other. The scaling behavior implies a spinodal-like phenomenon close to the transition point: the passage from the disordered to the ordered phase, composed of large ordered regions of different color, occurs at $\delta\beta(t)=\delta\beta_*>0$, where $\delta\beta_*$ decreases as $1/(\ln t_s)^{3/2}$ in the large-$t_s$ limit.
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Statistical Mechanics
Comment on: "Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions"
J. Sirker
In Ref. [1], dynamical
quantum phase transitions (DQPTs) – non-analyticities in the Loschmidt return rate at critical times – are investigated in the presence of noise for a two-band model. The authors report that DQPTs persist even after averaging over the noise and they use their results to derive dynamical phase diagrams. The protocol used approximates the noise-averaged mixed state, obtained using a master equation, by a pure state, characterized by its excitation probability. In this comment we rigorously show that: (1) This approximation is exponentially poor in the thermodynamic limit. (2) When using the correct metric, the Loschmidt echo of two density
matrices in any two-dimensional
Hilbert space can become zero if and only if both density
matrices are pure, ruling out DQPTs for non-zero noise. (3) An a posteriori reinterpretation of the results as an interferometric protocol is possible but such a protocol is unsuitable to investigate the effects of noise on DQPTs because it is inherently blind to decoherence. We also investigate alternative natural ways to average over noise realizations and show that in all of them DQPTs are smoothed out.
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Strongly Correlated Electrons
$c=-2$ conformal field theory in quadratic band touching
Rintaro Masaoka
Quadratic band touching in fermionic systems defines a universality class distinct from that of linear Dirac points, yet its characterization as a
quantum critical point remains incomplete. In this work, I show that a $(d+1)$-dimensional free-
fermion model with quadratic band touching exhibits spatial conformal invariance, and that its equal-time ground-state correlation functions are exactly captured by the $d$-dimensional
symplectic fermion theory. I establish this correspondence by constructing explicit mappings between physical fermionic operators and the fields of the
symplectic fermion theory. I further explore the implications of this correspondence in two spatial dimensions, where the
symplectic fermion theory is a logarithmic conformal field theory with central charge $c=-2$. In the corresponding $(2+1)$-dimensional systems, I identify anyonic excitations originating from the underlying
symplectic fermion theory, even though the
Hamiltonian is gapless. Transporting these excitations along non-contractible loops generates transitions among topologically degenerate ground states, in close analogy with those in topologically ordered phases. Moreover, the action of a $2\pi$ rotation on these excitations is represented by a Jordan block, reflecting the logarithmic character of the associated conformal field theory.
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Materials Science · Cross-listed from physics.ed-ph
Efficient and affordable thermoelectric measurement setup using Arduino and LabVIEW for education and research
Alex J. Oh, Colby J. Stoddard, Craig Queenan et al. (+1 more)
Thermoelectric materials can convert thermal energy into electricity, making them promising candidates for harvesting waste heat, an increasingly important challenge in the energy-intensive modern world. The search for improved thermoelectric materials is therefore an active area of research in materials physics. Despite their fundamental and practical significance, thermoelectric properties - such as the Seebeck coefficient and power factor - are rarely explored in student labs due to the complexity in measurement schemes and requirement for sophisticated equipment. In this work, we present a user-friendly, low-cost and efficient thermoelectric measurement system built with Arduino and LabVIEW, which can simultaneously measure Seebeck coefficients and power factors as a function of temperature. This was made possible by improving the resolution of Arduino over ~1000 times with amplifiers and noise reduction schemes. With a total cost of only ~$100 and simple measurement protocols, this setup is well suited not only for student labs but also for efficient thermoelectric research.
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All authors Alex J. Oh, Colby J. Stoddard, Craig Queenan, Seongshik Oh
Superconductivity
Effect of a magnetic field up to 9 T on the temperature dependence of the pseudogap in YBa$_2$Cu$_3$O$_{7-\delta}$ films
A. S. Kolisnyk, M. V. Shytov, E. V. Petrenko et al. (+5 more)
The work analyzes the effect of a
magnetic field $B$ directed along the $c$ axis ($B \parallel c$) up to 9~T on the resistivity $\rho(T)$, fluctuation conductivity (FLC) $\sigma'(T)$ and pseudogap $\Delta^*(T)$ in thin films of YBa$_2$Cu$_3$O$_{7-\delta}$ with a critical temperature of the superconducting transition $T_c = 88.8$~K. In contrast to previous work, where the
magnetic field was directed along the $ab$ plane ($B \parallel ab$), the influence of the field on the sample is stronger due to the contribution of both
spin–orbit and Zeeman effects. It was found that the BEC–BCS transition temperature, $T_{\mathrm{pair}}$, which corresponds to the maximum of the $\Delta^*(T)$ dependence, shifts to the region of lower temperatures with increasing $B$, and the maximum value of $\Delta^*(T_{\mathrm{pair}})$ decreases in fields $B > 5$~T. It was found that with increasing field, the low-temperature maximum near $T_0$ is smeared and disappears at $B > 1$~T. In addition, above the Ginzburg temperature $T_G$, for $B > 1$~T, a minimum appears on $\Delta^*(T)$ at $T_{\min}$, which becomes very pronounced with a subsequent increase in $B$. As a result, the overall value of $\Delta^*(T_G)$ decreases noticeably, most likely due to the pair-breaking effect. At the same time, $\Delta T_{\mathrm{fl}}$ and $\xi_c(0)$ increase sharply by approximately 3 times with increasing $B$ above 1~T. Our results confirm the possibility of the formation of a
vortex state in YBa$_2$Cu$_3$O$_{7-\delta}$ by a
magnetic field and its
evolution with increasing $B$.
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All authors A. S. Kolisnyk, M. V. Shytov, E. V. Petrenko, A. V. Terekhov, L. V. Bludova, A. Sedda, E. Lähderanta, A. L. Solovjov
Mesoscale and Nanoscale Physics
Adiabatic charge transport through non-Bloch bands
Dharana Joshi and Tanay Nag
We explore the non-reciprocal intracell hopping mediated non-Hermitian topological phases of an extended Su-Schrieffer-Heeger model hosting second-nearest-neighbour hopping. We microscopically analyze the phase boundaries using the non-Bloch momentum while the off-critical (critical) phases are directly associated with the gapped (gapless) nature of the non-Bloch bands that we derive from the characteristic equation using the gauge freedom. The non-Bloch momentum accurately reflects the bulk boundary correspondence (BBC) explaining the winding number profile under open boundary conditions. We examine the adiabatic dynamics to promote the concept of adiabatic charge transport in a non-Hermitian scenario justifying the BBC in spatio-temporal Bott index and non-Bloch Chern number. Once the non-Bloch bands experience no (a) gap-closing during the
evolution of time, quantized flow of is preserved (broken). Our study systematically unifies the concept of non-Bloch bands for both static and driven situations.
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Materials Science
The Plastic Origin of van der Waals material GaGeTe
Qiao Wang and Ping-An Hu
Plastic inorganic
semiconductors are promising candidates for high performance stable flexible electronics. Germanium based chalcogenide materials are well known for excellent semiconducting properties, specifically superior carrier mobility. However, these materials typically exhibit inherent brittleness, which in germanium tellurides originates from the intrinsic half bond nature of the metavalent Ge Te bond. Here, we report an ultra high plasticity germanium based chalcogenide of GaGeTe. Bulk GaGeTe can sustain a large engineering strain up to 7.5% without fracture. Through a comprehensive multi scale investigation ranging from macroscopic characterization to atomic resolution scanning transmission electron microscopy, we reveal that the exceptional plasticity is due to a synergistic effect of interlayer gliding and intralayer
lattice distortion. DFT calculations further elucidate the chemical origin. The existence of Ga atoms avoids the formation of brittle metavalent Ge Te bonds. Instead, a robust honeycomb
lattice formed by strong Ga Te, Ge Ge, and Ga Ge bonds preserves high bond strength under large tensile strains in simulations, thereby underpinning the macroscopic plastic behavior. This systematic study on the origin of the plasticity in GaGeTe introduces bond engineering as a potential approach for constructing plastic inorganic
semiconductors.
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Strongly Correlated Electrons · Cross-listed from quant-ph
Local fermion density in inhomogeneous free-fermion chains: a discrete WKB approach
Martín Zapata, Federico Finkel and Artemio González-López
We introduce a novel analytical approach for studying free-
fermion (XX) chains with smoothly varying, site-dependent hoppings and
magnetic fields. Building on a discrete WKB-like approximation applied directly to the recurrence relation for the single-particle eigenfunctions, we derive a closed-form expression for the local
fermion density profile as a function of the
Fermi energy, which is valid for arbitrary fillings, hopping amplitudes and
magnetic fields. This formula reproduces the depletion and saturation effects observed in previous studies of inhomogeneous free-
fermion chains, and provides a theoretical framework to understand
entanglement entropy suppression in these models. We demonstrate the accuracy of our asymptotic formula in several chains with different hopping and
magnetic field profiles. Our findings are thus the first step towards an analytical treatment of
entanglement in free-
fermion chains beyond the reach of conventional field-theoretic techniques.
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Disordered Systems and Neural Networks
From percolation transition to Anderson localization in one-dimensional speckle potentials
Margaux Vrech, Jan Major, Dominique Delande et al. (+2 more)
Classical particles in random potentials typically experience a percolation phase transition, being trapped in clusters of mean size $\chi$ that diverges algebraically at a percolation threshold. In contrast,
quantum transport in random potentials is controlled by the Anderson localization length, which shows no distinct feature at this classical critical point. Here, we present a comprehensive theoretical analysis of the semi-classical crossover between these two regimes by studying particle propagation in a one-dimensional, red speckle potential, which hosts a percolation transition at its upper bound. As the system deviates from the classical limit, we find that the algebraic divergence of $\chi$ continuously connects to a smooth yet non-analytic increase of the localization length. We characterize this behavior both numerically and theoretically using a semi-classical approach. In this crossover regime, the correlated and non-Gaussian nature of the speckle potential becomes essential, causing the standard Dorokhov-Mello-Pereyra-Kumar (DPMK) description for uncorrelated disorder to break down. Instead, we predict the emergence of a bimodal transmission distribution, a behavior normally absent in one dimension, which we capture within our semi-classical analysis. Deep in the
quantum regime, the DMPK framework is recovered and the universal features of Anderson localization reappear.
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All authors Margaux Vrech, Jan Major, Dominique Delande, Marcel Filoche, Nicolas Cherroret
Statistical Mechanics
Distinguishing thermal versus quantum annealing using probability-flux signatures across interaction networks
Yoshiaki Horiike and Yuki Kawaguchi
Simulated annealing provides a heuristic solution to combinatorial optimization problems. The cost function of a problem is mapped onto the energy function of a physical many-body system, and, by using thermal or
quantum fluctuations, the system explores the state space to find the ground state, which corresponds to the optimal solution of the problem. Studies have highlighted both the similarities and differences between thermal and
quantum fluctuations. Nevertheless, fundamental understanding of thermal and
quantum annealing remains incomplete, making it unclear how
quantum annealing outperforms thermal annealing in which problem instances. Here, we investigate the many-body dynamics of thermal and
quantum annealing by examining all possible interaction networks of $\pm J$ Ising
spin systems up to seven
spins. Our comprehensive investigation reveals that differences between thermal and
quantum annealing emerge for particular interaction networks, indicating that the structure of the energy landscape distinguishes the two dynamics. We identify the microscopic origin of these differences through probability fluxes in state space, finding that the two dynamics are broadly similar, but that
quantum tunnelling produces qualitative differences. Our results provide insight into how thermal and
quantum fluctuations navigate a system toward the ground state in simulated annealing, and are experimentally verifiable in atomic, molecular, and optical systems. Furthermore, these insights may improve mappings of optimization problems to Ising
spin systems, yielding more accurate solutions in faster simulated annealing and thus benefiting real-world applications in industry. Our comprehensive survey of interaction networks and visualization of probability flux can help to understand, predict, and control
quantum advantage in
quantum annealing.
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Strongly Correlated Electrons
Formation and Evolution of the Spin-Charge-Entangled Screening Cloud in the Majorana-Kondo System
Yun Chen, Haojie Shen and Wei Su
Side-coupled Majorana zero modes in Kondo systems realize a simple yet nontrivial hybridization setup that leads to distinct physics from the conventional Kondo effect. We have demonstrated in a previous work that the system can be described by a
spin-charge-entangled (SCE)
quantum impurity model with an Andreev$\otimes$normal boundary condition. Here we investigate in detail the formation process and microscopic mechanism of the SCE screening cloud using the numerical renormalization group method. We introduce temperature-dependent spatially integrated correlation functions that provide an unambiguous diagnostic of different components of the SCE screening cloud beyond the
impurity entropy and local density of states. Our results reveal a crossover from a sequential two-stage screening of the
spin and charge components to a simultaneous screening controlled by a single parameter. We also study the
evolution of the low-energy fixed points in the presence of competing terms that break different
symmetries and drive the system to different infrared fixed points. Our results suggest that the SCE screening effect in the Majorana-Kondo system makes itself a route to detecting Majorana zero modes.
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Statistical Mechanics
Height distribution of elastic interfaces in quenched random media
Tuuli Sillanpää, Sanni Nousiainen and Lasse Laurson
Elastic interfaces in quenched random media driven by external forces exhibit a continuous depinning phase transition between pinned and moving phases at a critical external force. Recent work [Phys. Rev. Lett. 129, 175701 (2022)] has shown that the distribution of local interface heights at depinning displays negative skewness. Here, by considering local, long-range and fully-coupled (mean-field) elasticity, we expand on this result by demonstrating the robustness of the negative skewness at depinning when approaching the thermodynamic limit and considering different values of the spring stiffness controlling the avalanche cutoff. Additionally, we investigate the
evolution of the height distribution as the external force is ramped up from zero, approaching the critical force from below. Starting from a symmetric height distribution at zero force, the distribution initially develops positive skewness increasing with the external force, followed by a steep drop to the negative value characteristic of the critical point as the depinning transition is reached.
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