Materials Science · Cross-listed from quant-ph
A Hierarchy of Fibonacci Forbidden-Word Hamiltonians: From the Golden Chain to the Plastic Chain and Aperiodic Order
Marcelo Maciel Amaral
We introduce an infinite, scale-aligned hierarchy of one-dimensional, frustration-free
Hamiltonians by forbidding the minimal forbidden factors of the Fibonacci word up to length $F_K$, the $K$-th Fibonacci number. The ground-state
languages have exponential growth constants $\lambda_K$ that decrease monotonically, starting from the value associated with the “golden chain” (approximately 1.618) and progressing toward 1. This process yields a staircase of topological-
entropy plateaus that flows to an aperiodic fixed point, also known as the Fibonacci subshift. The first nontrivial rung ($K=4$) is the “Plastic chain,” which forbids SS and LLL. We prove its ground-state counts follow a specific four-term linear recurrence relation and provide a closed-form solution governed by the plastic constant $\rho\approx 1.3247$. We propose an energy-
entropy scaling where the energy penalty for each new forbidden pattern is proportional to the logarithmic ratio of the growth constants from the previous and current rungs, turning the sequence of projectors into an explicit renormalization-group flow from the initial high-
entropy phase to the zero-
entropy aperiodic fixed point. Algebraically, exact Temperley-Lieb braiding compatibility holds only at the base rung, $K=3$ (which forbids only SS); higher rungs define constrained aperiodic
Hamiltonian codes rather than Temperley-Lieb representations. Small instances realized on a D-Wave
quantum annealer match these predictions: $K=3$ is trivial, $K=4$ resolves a unit gap with moderate success, and $K\ge 5$ instances require reverse annealing to exceed $99\%$ success, clarifying reduction penalties and
embedding variability.
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Mesoscale and Nanoscale Physics
High-quality nanostructured diamond membranes for nanoscale quantum sensing
Alexander Pakpour Tabrizi, Artur Lozovoi, Sean Karg et al. (+4 more)
Deploying nitrogen vacancy (NV) centers in diamond as nanoscale
quantum sensors for condensed matter and materials physics requires placing the NV centers close to the sensing target. One solution is to fabricate diamond nanostructures and integrate them with materials and devices. However, diamond etching and ion milling can introduce subsurface damage and surface defects that degrade the charge stability and
spin coherence of NV centers near the surface. Here we report a procedure for fabricating low-damage nanostructured diamond membranes, and we show that this fabrication scheme preserves the optical and
spin properties of state-of-the-art shallow NV center
quantum sensors, within nanometers of the diamond surface, while providing significant photonic enhancement. Furthermore, we demonstrate a pick-and-place transfer method, which enables integration with diverse sensing targets.
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All authors Alexander Pakpour Tabrizi, Artur Lozovoi, Sean Karg, Tecla Bottinelli Mondandon, Melody Leung, Kai-Hung Cheng, Nathalie P. de Leon
Statistical Mechanics · Cross-listed from hep-th
Comment on CFT in AdS and boundary RG flows: O(1/N) Result
Kaoru Ohno and Yutaka Okabe
In a recent paper [JHEP 11 (2020) 118], S. Giombi and H. Khanchandani studied the 1/N expansion of the O(N) model in semi-infinite space within the framework of conformal field theory in anti-de Sitter space. They presented a series expansion for the O(1/N) correction to the boundary anomalous dimension in the case of the ordinary transition. Although they were unable to sum the series or simplify its form analytically, they demonstrated numerically that their result matches our earlier, simple analytic expression given in Prog. Theor. Phys. 70 (1983) 1226. In this paper, we show that their series expansion is in fact exactly equivalent to our original expression. However, since the final formula in eq. (4.57) of their paper, which is expressed in terms of two different 3F2 functions, cannot produce the correct values, we derive the correct formulae involving two 3F2 functions in the Appendices. We comment on the similarity and difference between their analysis and ours in the cases of the ordinary and special transitions, and present full details of deriving the anomalous dimension for all the cases including the extraordinary transition, which were not written in our earlier paper.
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Soft Condensed Matter
Thermal conductivity of commodity polymers under high pressures
Otavio Higino Moura de Alencar, James Mu, Marcus Müller et al. (+1 more)
Understanding the thermal conductivity of
polymers under high-pressure conditions is essential for a range of applications, from aerospace and deep-sea engineering to common lubricants. However, the complex relationship between pressure, $P$, the thermal transport coefficient, $\kappa$, and
polymer architecture poses substantial challenges to both experimental and theoretical investigations. In this work, we study the pressur-dependent thermal transport properties of a widely used commodity
polymer – poly(methyl methacrylate) (PMMA) – using a combination of all-atom molecular dynamics simulations and semi-analytical approaches. While we report both classical and
quantum-corrected estimates of $\kappa$, the latter approach reveals that as the pressure increases from 1 atm to 10 GPa, $\kappa$ rises by up to a factor of four – from 0.21 W m$^{-1}$ K$^{-1}$ to 0.80 W m$^{-1}$ K$^{-1}$. To better understand the mechanisms behind this increase, we disentangle the contributions from bonded and nonbonded monomer interactions. Our analysis shows that nonbonded energy-transfer rates increase by a factor of six over the pressure range, while bonded interactions show a more modest increase – about a factor of three. This observation further consolidates the fact that the nonbonded interactions play the dominant role in dictating the microscopic heat flow in
polymers. These individual energy-transfer rates are also incorporated into a simplified heat
diffusion model to predict $\kappa$. The results obtained from different approaches show internal consistency and align well with available experimental data. Additionally, some data for polylactic acid (PLA) are presented.
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All authors Otavio Higino Moura de Alencar, James Mu, Marcus Müller, Debashish Mukherji
Disordered Systems and Neural Networks
Machine learning intermolecular transfer integrals with compact atomic cluster representations
Keerati Keeratikarn, Christoph Ortner and Jarvist Moore Frost
Calculating intermolecular charge transfer integrals in organic
semiconductors requires substantial computer resource for each individual calculation. We might alternatively construct a machine learning model for transfer integrals, which model the full six-degrees of freedom for the relative position of dimer pairs, trained on representative calculations for the molecules of interest. Recent developments have produced effective machine learning force fields, which model the total energy of atomic assemblies. We extend the Atomic Cluster Expansion (ACE) with the correct
symmetries for transfer (kinetic-energy) integrals. Combined with a spherical harmonic basis makes, this forms a strong inductive bias and makes for a data efficient model. We introduce coarse-grained and heavy-atom representations, and assess the methodology on representative conjugated
semiconductors: ethylene, thiophene, and naphthalene.
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Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Flux-modulated tunable interaction regimes in two strongly nonlinear oscillators
J. D. Koenig, G. Barbieri, F. Fani Sani et al. (+3 more)
The ability to efficiently simulate a variety of interacting
quantum systems on a single device is an overarching goal for digital and analog
quantum simulators. In
circuit quantum electrodynamical systems, strongly nonlinear superconducting oscillators are typically realized using transmon
qubits, featuring a wide range of tunable couplings that are mainly achieved via flux-dependent inductive elements. Such controllability is highly desirable both for digital
quantum information processing and for analog
quantum simulations of various physical phenomena, such as arbitrary
spin-
spin interactions. Furthermore, broad tunability facilitates the study of driven-dissipative oscillator dynamics in previously unexplored parameter regimes. In this work, we demonstrate the ability to selectively activate different dynamical regimes between two strongly nonlinear oscillators using parametric modulation. In particular, our scheme enables access to regimes that are dominated by
photon-hopping, two-mode squeezing, or cross-Kerr interactions. Finally, we observe level repulsion and attraction between Kerr-nonlinear oscillators in regimes where the nonlinearities exceed the coupling strengths and decay rates of the system. Our results could be used for realizing purely analog
quantum simulators to study arbitrary
spin systems as well as for exploring strongly nonlinear oscillator dynamics in previously unexplored interaction regimes.
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All authors J. D. Koenig, G. Barbieri, F. Fani Sani, C. A. Potts, M. Kounalakis, G. A. Steele
Strongly Correlated Electrons
Resonating valence bond pairing energy in graphene by quantum Monte Carlo
S. Azadi, A. Principi, T.D. Kühne et al. (+1 more)
We determine the resonating-valence-bond (RVB) state in
graphene using real-space
quantum Monte Carlo with correlated variational wave functions. Variational and
diffusion quantum Monte Carlo (DMC) calculations with Jastrow-Slater-determinant and Jastrow-antisymmetrized-geminal-power ansatze are employed to evaluate the RVB pairing energy. Using a rectangular
graphene sample that lacks $\pi/3$ rotational
symmetry, we found that the single-particle energy gap near the
Fermi level depends on the system size along the $x$-direction. The gap vanishes when the length satisfies $L_x=3n\sqrt{3}d$, where $n$ is an integer and $d$ is the carbon-carbon bond length, otherwise, the system, exhibits a finite gap. Our DMC results show no stable RVB pairing in the zero-gap case, whereas the opening of a finite gap near the
Fermi level stabilizes the electron pairing. The DMC predicted absolute value of pairing energy at the thermodynamic limit for a finite-gap system is $\sim 0.48(1)$ mHa/atom. Our results reveal a feometry-driven electron pairing mechanism in the confined
graphene nanostructure.
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All authors S. Azadi, A. Principi, T.D. Kühne, M.S. Bahramy
Soft Condensed Matter
Enhanced Coalescence in Driven Foams
Alice Requier, Andrea Plati, Emmanuelle Rio et al. (+1 more)
External driving leads to the emergence of unique phenomena and properties in soft matter systems. We show that driving quasi-2D foams by mechanical vibration results in significant bubble coalescence, which is enhanced by the continuous phase yield stress. The competition between coarsening and coalescence can be modulated through vibration amplitude and foam
liquid fraction, which can be used to create unusual structural motifs. The combined effect of coarsening and coalescence is captured through a statistical model that quantitatively describes the time
evolution of the number of bubbles.
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All authors Alice Requier, Andrea Plati, Emmanuelle Rio, Anniina Salonen
Mesoscale and Nanoscale Physics
Facile Salt-Assisted Hydrothermal Synthesis of Nanodiamonds from CHO Precursors: Atomic-Scale Mechanistic Insights
Soumya Pratap Tripathy, Sayan Saha, Saurabh Kumar Gupta et al. (+14 more)
Hydrothermal synthesis offers an economical and scalable way to produce nanodiamonds under relatively mild, low-pressure and low-temperature conditions. However,its sustainability and the detailed mechanisms behind diamond formation in such environments are still not fully understood. In this work, we designed ten hydrothermal synthesis protocols using different CHO-based molecular precursors containing COOH and OH groups, such as organic acids, polyols, sugars, and polysaccharides.The reactions were carried out at 190 degrees Centigrade in chlorinated, strongly alkaline aqueous solutions with alkali and alkaline-earth metal ions. Using high-resolution transmission electron microscopy and X-ray photoelectron spectroscopy, we confirmed the presence of diamond-specific
lattice planes and sp3-hybridized carbon structures. Our results show that the type of precursor, its molecular size, and the ionic composition of the solution play key roles in determining the defect patterns and polymorph distribution in the resulting nanodiamonds. Atomic-scale imaging showed both coherent and incoherent transitions from graphite to diamond, along with gradual
lattice compression and complex twinning patterns. These observations provide direct insight into how interfacial crystallography and defect dynamics drive diamond formation in aqueous systems. Overall, the study positions hydrothermal synthesis as a sustainable, chemistry-driven, and tunable approach for creating nanodiamonds tailored for applications in
quantum technologies, biomedicine, catalysis, and advanced materials.
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All authors Soumya Pratap Tripathy, Sayan Saha, Saurabh Kumar Gupta, Pallavee Das, Binay Priyadarsan Nayak, Anup Routray, Priya Choudhary, Srihari V, Bitop Maitra, Ashna Reyaz, Anushka Samant, Debopriya Sinha, Kritideepan Parida, Kuna Das, Abhijeet Sahoo, Kunal Pal, Sirsendu Sekhar Ray
Strongly Correlated Electrons
Metamagnetic Transition in Low-Dimensional Site-Decorated Quantum Heisenberg Ferrimagnets
Weiguo Yin and A. M. Tsvelik
The prohibition of finite-temperature phase transition in one-dimensional (1D) Ising models and 1D/2D
quantum Heisenberg models with short-range interactions fundamentally constrains the application potentials of low-dimensional
magnetic materials. Recently, ultranarrow phase crossover (UNPC), which can approach a transition at a desirable finite temperature $T_0$ arbitrarily closely, was discovered in 1D decorated Ising chains and ladders. Here we present a theoretical study of similarly decorated, yet much more challenging,
quantum Heisenberg ferrimagnets in a
magnetic field, which features
ferromagnetic backbone exchange $J$,
antiferromagnetic site-decoration coupling $J_{AF}$, and different
magnetic moments for the backbone and decorating
spins $\mu_aS_a<\mu_bS_b$. We exactly solved the model in the large $J$ limit – as a central-macrospin model – and found two finite-temperature second-order transitions; just above $T_{c2}$ a “half-ice, half-fire” regime appears. Finite-$J$ weak-field results follow from an effective-field mapping, suggesting the emergence of UNPC at finite $T_0$ in 2D square
lattices thanks to its exponentially strong initial
magnetic susceptibility $\chi_0\propto e^{4\pi S_a^2 J/T_0}$, though less likely in 1D chains where $\chi_0\propto J/T_0$. These results may shed light on new technological applications of low-dimensional
quantum spin systems and attract experimental and computational tests.
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Statistical Mechanics · Cross-listed from physics.flu-dyn
Ritwik Mukherjee, Siddhartha Mukherjee, I. V. Kolokolov et al. (+3 more)
Equal-time scaling exponents in fully developed
turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D)
turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not confined to longitudinal, scalar velocity increments, but also emerges in increments associated with the magnitude and orientation of the velocity vector. This decomposition uncovers a multiscaling in the 2D inverse cascade, which remains obscured when using conventional structure functions. Our results highlight a decoupling between velocity amplitude and flow geometry, offering new insight into the statistical structure of turbulent cascades as well as showing how different classes of multiscaling emerge.
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All authors Ritwik Mukherjee, Siddhartha Mukherjee, I. V. Kolokolov, V. V. Lebedev, Takeshi Matsumoto, Samriddhi Sankar Ray
Strongly Correlated Electrons
Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the square lattice
Jie Qiao, Shu-Hao Zhang, Jing-Bo Qin et al. (+2 more)
The nature of the intermediate ground-state phase in the
spin-1/2 frustrated square
lattice model has long been debated. Using cluster density
matrix embedding theory, we investigate the phase diagram of this model. The Neel phase is directly identified for J2<0.45 and the collinear phase for J2>0.65 based on the ground state. Although no direct evidence of an internal phase transition is found within the intermediate phase from the ground state, analysis of the first excited state wave function reveals a continuous
quantum phase transition in this region, with a critical point at J2=0.55. This critical point divides the intermediate phase into PVBS and CVBS.
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All authors Jie Qiao, Shu-Hao Zhang, Jing-Bo Qin, Xiao-Long Zhao, Qiang Cheng
Disordered Systems and Neural Networks
Exploring Replica Symmetry Breaking and Topological Collapse in Spin Glasses with Quantum Annealing
Kumar Ghosh
Replica
symmetry breaking (RSB) underlies the complex organization of disordered systems, yet quantitative validation beyond $N \sim 100$
spins has remained computationally challenging. We use
quantum annealing to access ground states of the Sherrington-Kirkpatrick model up to $N = 4000$
spins, enabling the most extensive test of Parisi's Nobel Prize-winning RSB solution to date. Five independent observables confirm RSB predictions: ground-state energies converge to Parisi's value with characteristic $N^{-2/3}$ corrections, energy fluctuations scale as $N^{-3/4}$ ($\gamma = 0.739 \pm 0.036$), the chaos exponent $\theta = 0.51 \pm 0.02$ ($R^2 = 0.989$) confirms mean-field universality, the overlap distribution exhibits hierarchical structure ($\sigma_q = 0.19$), and the complexity remains invariant under 36% network dilution. Beyond a critical threshold $0.8 < D_c < 0.9$, the hierarchy collapses discontinuously through a cooperative avalanche that converts the entire system to vacancies within a narrow parameter window $\Delta D = 0.1$. These findings establish
quantum computation as a tool for probing emergent many-body phenomena and uncover the topological foundations of complexity in disordered systems, with implications for neural networks, optimization, and materials science.
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Strongly Correlated Electrons
Ultrafast symmetry modulation and induced magnetic excitation in the Kagome metal RbV3Sb5
Mengxue Guan, Xiaodong Zhou, Jingyi Duan et al. (+8 more)
Light-matter interaction in frustrated Kagome metals enables access to hidden
quantum states, yet the microscopic origin of
symmetry breaking under ultrafast excitation remains elusive. Here, we uncover a microscopic mechanism for
laser-induced
symmetry breaking in RbV3Sb5 through first-principles real-time simulations. Selective excitation of a single-QM
phonon mode dynamically breaks both rotational and time-reversal
symmetries within the 2X2X1 charge density wave (CDW) superlattice. The resulting anisotropic
lattice distortion lifts
geometric frustration and stabilizes a nonequilibrium ferrimagnetic phase, accompanied by a sizable intrinsic anomalous
Hall effect. Distinct from prior interpretations based on orbital antiferromagnetism or extrinsic perturbations, our findings reveal a
spin-driven pathway for
symmetry breaking under strong optical fields. These results provide a microscopic foundation for exploring how
spin,
lattice and charge degrees of freedom are intertwined in nonequilibrium correlated states.
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All authors Mengxue Guan, Xiaodong Zhou, Jingyi Duan, Chaoxi Cui, Wei Jiang, Zeying Zhang, Binhua Zhang, Zhengwei Nie, Xun Shi, Zhiwei Wang, Yugui Yao
Mesoscale and Nanoscale Physics
Jonas D. Gerber, Efe Ersoy, Michele Masseroni et al. (+10 more)
We report a well-resolved 0.7 conductance anomaly at $G = 0.7\times(2e^2/h)$ in
bilayer graphene/WSe$_2$
quantum point contacts. Proximity-enhanced
spin-orbit coupling splits the four-fold ground state of
bilayer graphene into well-separated
spin-valley locked Kramers doublets. The anomaly emerges between these opposite
spin-valley states. Despite fundamentally different band structure and wavefunction characteristics, the temperature and bias phenomenology closely mirror GaAs systems. In contrast, the parallel
magnetic field response differs significantly, confirming the central role of valley degrees of freedom. This opens new pathways to study valley-exchange correlation physics in regimes inaccessible to conventional
semiconductors.
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All authors Jonas D. Gerber, Efe Ersoy, Michele Masseroni, Markus Niese, Artem O. Denisov, Christoph Adam, Lara Ostertag, Jessica Richter, Takashi Taniguchi, Kenji Watanabe, Yigal Meir, Thomas Ihn, Klaus Ensslin
Materials Science
Decoupling interface and thickness effects on hydrogen absorption in V/MgO: experiments and DFT
Qiuxiang Zhang, Yan Zhu, Xiaofang Peng et al. (+3 more)
We report combined experimental and first principles investigations of hydrogen absorption in epitaxial vanadium films on MgO(001) with nominal thicknesses of 10 nm and 50 nm. In - situ optical transmission and four - probe resistance isotherms show that the 50 nm film reproduces bulk like behavior with a clear first order alpha-beta hydride transition, the formation enthalpy and
entropy gradually decrease with increasing hydrogen concentration. The 10 nm film, by contrast, displays continuous uptake without plateaus, with formation enthalpies H that are relatively close in magnitude to the 50 nm film (both exhibiting exothermic behavior in the range of approximately 0.5 to 0.3 eV/H), but with a more negative
entropy change S (larger S) indicating reduced configurational freedom for hydrogen in the ultrathin limit; the critical temperature for phase coexistence is suppressed below 400 K. Density functional theory calculations on MgO V superlattices (Vn/(MgO)n, n = 3,5,7) reveal pronounced V 3d and O 2p hybridization and interfacial charge redistribution that weaken hydrogen binding near the interface and recover toward bulk values with increasing V thickness. These results indicate that interfacial electronic structure, in addition to finite size energetics, governs hydride stability in ultrathin V films and that layer - thickness and interface engineering can tune reversible hydrogen uptake.
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All authors Qiuxiang Zhang, Yan Zhu, Xiaofang Peng, Weiguang Yang, Yuping Le, Xiao Xin