Soft Condensed Matter
Gravitational aggregation regimes: critical dissipation threshold, optimal rigidity and fractal transition
Yohann Trivino
I present a three-dimensional Discrete Element Method study of self-gravitation and contact mechanics in cold granular assemblies. The model couples direct Newtonian attraction between every particle pair with a linear visco-elastic normal contact law. Particles are treated as non-cohesive spheres; the normal force is parameterized to reproduce a prescribed restitution coefficient. Rotations are integrated using quaternions to avoid singularities. By normalizing the stiffness kn by kstar = G*m^2/R^3 and time by the free-fall time t_ff, I perform systematic parameter campaigns over dissipation (gamma) and normalized stiffness ktilde = kn/kstar. Results reveal three aggregation regimes. For low gamma the particles remain largely dispersive; above a critical gamma of about 5e2 aggregation accelerates until plateaus are reached in the aggregation time T_agg divided by t_ff. For stiffness ktilde on the order of 1e6 the aggregation time reaches a clear minimum. The cluster fraction C/Ntot shows a non-monotonic dependence on ktilde, with optimal cohesion at intermediate
rigidity and peripheral isolation at extreme stiffness. Mapping the fractal dimension F across (gamma, ktilde) demonstrates transitions from compact structures (F about 3) to ramified structures (F below 2). These findings quantify how microscopic contact laws govern both the kinetics and microstructure of
gravity-driven aggregation, providing a predictive framework for planetesimal formation and for calibrating DEM models against laboratory and micro-
gravity experiments.
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Statistical Mechanics
Hardware Acceleration of Frustrated Lattice Systems using Convolutional Restricted Boltzmann Machine
Pratik Brahma, Junghoon Han, Tamzid Razzaque et al. (+2 more)
Geometric frustration gives rise to emergent
quantum phenomena and exotic phases of matter. While Monte Carlo methods are traditionally used to simulate such systems, their sampling efficiency is limited by the complexity of interactions and ground-state properties. Restricted Boltzmann Machines (RBMs), a class of probabilistic neural networks, offer improved sampling by incorporating machine learning techniques. However, fully-connected bipartite RBMs are inefficient for representing physical
lattices with sparse interactions. To address this, we implement Convolutional Restricted Boltzmann Machines (CRBMs) that leverage translational
symmetry inherent to
lattices. Using the classical Shastry-Sutherland (SS) Ising
lattice, we demonstrate (i) CRBM formulation that captures SS interactions, and (ii) digital hardware accelerator to enhance sampling performance. We simulate
lattices with up to 324
spins, recovering all known phases of the SS Ising model, including the long range ordered fractional plateau. Our hardware characterizes
spin behavior at critical points and within
spin liquid phases. This implementation achieves a speedup of 3 to 5 orders of magnitude (33 ns to 120 ms) over GPU-based implementations. Moreover, the time-to-solution is within two orders of magnitude of
quantum annealers, while offering superior scalability, room-temperature operation and reprogrammability. This work paves a pathway for scalable digital hardware that embeds physical
symmetries to enable large scale simulations of material systems.
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All authors Pratik Brahma, Junghoon Han, Tamzid Razzaque, Saavan Patel, Sayeef Salahuddin
Statistical Mechanics · Cross-listed from quant-ph
Restoring a Missing Meta-Symmetry of Quantum Mechanics
Sheng Ran
In conventional
quantum mechanics, all
unitary evolution takes place within the space-time
Hilbert space $\mathcal H_{xt}=L^2(\mathcal M_{xt})$, with time as the sole
evolution parameter. The momentum-energy representation $\phi(k,E)$ is treated merely as a
Fourier re-expression of the same state-kinematically equivalent but dynamically inert. Here we restore the fundamental
symmetry between the conjugate pairs $(x,t)$ and $(k,E)$ by extending the
quantum theory to an enlarged
Hilbert space $\mathcal H_{\text{total}} = \mathcal H_{xt} \oplus \mathcal H_{kE}$, within which the momentum-energy sector $\mathcal H_{kE}=L^2(\mathcal M_{kE})$ carries its own autonomous
unitary evolution generated by a self-adjoint operator $\hat{\mathcal T}$. The resulting structure establishes a meta-
symmetry: a
symmetry between two conjugate dynamical projections of a single global
quantum state. It produces a dual-
manifold geometry in which each domain is locally complete yet globally open, with divergent limits in one mapping onto extended regions in the other. Remarkably, the dual-
manifold symmetry alone reproduces both the uniform dark-energy background and the exponential boundary mapping near black-hole horizons that underlies Hawking radiation. This framework thus opens a
quantum-theoretic route to cosmological phenomena that are ordinarily treated within general relativity.
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Materials Science
Photo-induced carrier dynamics in InSb probed with broadband THz spectroscopy based on BNA crystals
Elodie Iglesis, Alexandr Alekhin, Maximilien Cazayous et al. (+3 more)
We report an optical pump - terahertz (THz) probe study of the photoinduced transient carrier dynamics in the low bandgap
semiconductor Indium Antimonide (InSb). Using an organic N-benzyl-2-methyl-nitroaniline (BNA)
crystal as a broadband THz source, we access the full spectral response over more than 5 THz, for varying pump-probe delay following the optical excitation. Using the Drude-Lorentz model accounting for differences between the excited length in material and the penetration depth of THz beam in pumped InSb, we extract the absolute carrier density as a function of the pump-probe delay, and provide insights on the
diffusion length at given carrier densities, for different pump fluences. The mismatch between the THz penetration depth and the actual excited sample depth after carrier
diffusion is discussed, since their evolutions with time and pump fluence are not intuitive as both quantities depend on carrier density.
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All authors Elodie Iglesis, Alexandr Alekhin, Maximilien Cazayous, Alain Sacuto, Yann Gallais, Sarah Houver
Materials Science
Cr2O3/e̱ta}-Ga2O3 Heterojunction Diodes with Orientation-Dependent Breakdown Electric Field up to 12.9 MV/cm
Yizheng Liu, Haochen Wang, Carl Peterson et al. (+3 more)
We report the fabrication of Cr2O3/e̱ta}-Ga2O3 heterojunction diodes using reactive magnetron sputtering of Cr2O3 on highly doped e̱ta}-Ga2O3 bulk substrates along (100), (010), (001), (110), and (011) orientation dependence of high electric field handling capability in e̱ta}-Ga2O3. Additional relative permittivity values in (110) and (011) orientations of e̱ta}-Ga2O3 were computed by using first-principles calculation methods for accurate apparent charge density (ND-NA) extraction and breakdown electric field analysis from capacitance-voltage measurements. The HJDs fabricated on n+ (110) exhibited breakdown electric fields >10 MV/cm up to 12.9 MV/cm, showing the highest experimentally observed parallel-plane junction electric field among e̱ta}-Ga2O3-based junctions. Breakdown electric fields among (100), (010), (001), and (011) orientations showed distinct distribution in the range of 5.13-5.26 MV/cm, 5.10-7.05 MV/cm, 2.70-3.33 MV/cm, and 3.88-4.38 MV/cm, respectively, validating the orientational dependence of parallel-plane junction electric field at breakdown in low-
symmetry monoclinic e̱ta}-Ga2O3. The parallel-plane breakdown electric fields (EBr,||) reported in this work were extracted when the device experienced catastrophic breakdown at 100 mA/cm^2 current density compliance, and should not be confused with critical electric field (Ec) as a function of drift layer doping concentration, which accounts for electric-field dependent impact ionization coefficients in Si, SiC and GaN. This study can guide the choice of
crystal orientation for high performance gallium
oxide-based devices that require high electric field handling capability.
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All authors Yizheng Liu, Haochen Wang, Carl Peterson, James S. Speck, Chris Van De Walle, Sriram Krishnamoorthy
Superconductivity · Cross-listed from physics.ins-det
Tungsten Germanide Superconducting Nanowire Single-Photon Detectors with Saturated Internal Detection Efficiency at Wavelengths up to 29 {\mu}m
Benedikt Hampel, Daniel Kuznesof, Andrew S. Mueller et al. (+13 more)
Superconducting nanowire single-
photon detectors (SNSPDs) are among the most sensitive single-
photon detectors available and have the potential to transform fields ranging from infrared astrophysics to molecular spectroscopy. However, extending their performance into the mid-infrared spectral region - crucial for applications such as
exoplanet transit spectroscopy and vibrational fingerprinting of molecules - has remained a major challenge, primarily due to material limitations and scalability constraints. Here, we report on the development of SNSPDs based on tungsten germanide, a novel material system that combines high mid-infrared sensitivity with compatibility for large-scale fabrication. Our detectors exhibit saturated internal detection efficiency at wavelengths up to 29 {\mu}m, while using 2.7x thicker films (8 nm vs 3 nm) and up to 4.5x wider nanowires (360 nm vs 80 nm) compared to mid-infrared-optimized SNSPDs fabricated from tungsten silicide. This advance will enable scalable, high-performance single-
photon detection in a spectral region that was previously inaccessible, opening new frontiers in remote sensing, thermal imaging, environmental monitoring, molecular physics, and astronomy.
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All authors Benedikt Hampel, Daniel Kuznesof, Andrew S. Mueller, Sahil R. Patel, Robert H. Hadfield, Emma E. Wollman, Matthew D. Shaw, Dirk Schwarzer, Alec M. Wodtke, Khalid Hossain, Allison V. Mis, Alexana Roshko, Richard P. Mirin, Sae Woo Nam, Martin J. Stevens, Varun B. Verma
Strongly Correlated Electrons
Defect Bootstrap: Tight Ground State Bounds in Spontaneous Symmetry Breaking Phases
Michael G. Scheer, Nisarg Chadha, Da-Chuan Lu et al. (+1 more)
The recent development of bootstrap methods based on semidefinite relaxations of positivity constraints has enabled rigorous two-sided bounds on local observables directly in the thermodynamic limit. However, these bounds inevitably become loose in
symmetry broken phases, where local constraints are insufficient to capture long-range order. In this work, we identify the origin of this looseness as order parameter defects which are difficult to remove using local operators. We introduce a $\textit{defect bootstrap}$ framework that resolves this limitation by
embedding the system into an auxiliary $\textit{defect model}$ equipped with ancilla degrees of freedom. This construction effectively enables local operators to remove order parameter defects, yielding tighter bounds in phases with spontaneous
symmetry breaking. This approach can be applied broadly to pairwise-interacting local
lattice models with discrete or continuous internal
symmetries that satisfy a property we call $\textit{defect diamagnetism}$, which requires that the ground state energy does not decrease upon adding any finite number of
symmetry defects. Applying the method to the transverse field Ising models in 1D and 2D, we obtain significantly improved bounds on energy densities and
spin correlation functions throughout the
symmetry broken phase in 1D and deep within the phase in 2D. Our results demonstrate that physically motivated constraint sets can dramatically enhance the power of bootstrap methods for
quantum many-body systems.
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All authors Michael G. Scheer, Nisarg Chadha, Da-Chuan Lu, Eslam Khalaf
Statistical Mechanics
A new Fractal Mean-Field analysis in phase transition
Ismael S. S. Carrasco, Henrique A. de Lima and Fernando A. Oliveira
Understanding phase transitions requires not only identifying order parameters but also characterizing how their correlations behave across scales. By quantifying how fluctuations at distinct spatial or temporal points are related, correlation functions reveal the structural organization of complex systems. In this work, we reexamine the theoretical foundations of these correlations in systems undergoing second-order phase transitions, with emphasis on the Ising model extended to non-integer spatial dimensions. We revisit the hypothesis that, at criticality, the
equilibrium dynamics become effectively confined to the fractal edge of
spin clusters and redo the analysis using fractional calculus. Within this framework, the fractal dimension that governs the correlations in that subspace is directly related to Fisher's exponent $\eta$, which quantifies the singular behavior of the correlation function near criticality. Importantly, this correlation fractal dimension is distinct from the fractal dimension associated with the order parameter. The fractional approach allows us to directly compute the correlation fractal dimension and to establish an explicit geometrical relation connecting the two fractal dimensions. Moreover, the formulation naturally extends to non-integer spatial dimensions, remaining valid below the upper critical dimension and yielding the correct value of Fisher's exponent $\eta$ for a continuous spatial dimension $d$. Within this framework, we also provide empirical functions describing how the main critical exponents vary continuously as a function of the space dimension.
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Soft Condensed Matter
The metastability of lipid vesicle shapes in uniaxial extensional flow
M.A. Shishkin and E.S. Pikina
In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analysing the Helfrich bending energy and viscous flow stresses in the limit of highly elongated shapes, we demonstrate that all stationary vesicle configurations are metastable. For vesicles with small reduced volume, we identify the type of bifurcation at which the stationary state is lost, leading to unbounded vesicle elongation in time. We show that the stationary vesicle length remains finite at the critical extension rate. The critical behaviour of the stationary vesicle length and of the growth rates of small perturbations is obtained analytically and confirmed by direct numerical computations. The beginning stage of the unbounded elongation dynamics is simulated numerically, in agreement with the analytical predictions.
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Soft Condensed Matter
Analytical Interaction Potentials for Disks in Two Dimensions
Binghan Liu, Junwen Wang, Gary S. Grest et al. (+1 more)
Compact analytical forms are derived for the interactions involving thin disks in two dimensions using an integration approach. These include interactions between a disk and a material point, between two disks, and between a disk and a wall. Each object is treated as a continuous medium of materials points interacting by the Lennard-Jones 12-6 potential. By integrating this potential in a pairwise manner, expressions for the potentials and resultant forces between extended objects are obtained. All the results are validated with numerical integrations. The analytical potentials are implemented in LAMMPS and used to simulate two-dimensional suspension of disks with an explicit solvent modeled as a Lennard-Jones
liquid. In monodisperse disk suspensions, a disorder-to-order transition of disk packing is observed as the area fraction of disks is increased or as the solvent evaporates. In bidisperse disk suspensions being rapidly dried, stratification is found with the smaller disks enriched at the evaporation front. Such "small-on-top" stratification echoes the similar phenomenon occurring in three-dimensional polydisperse colloidal suspensions that undergo fast drying. These potentials can be applied to a wide range of two-dimensional systems involving disk-like objects.
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All authors Binghan Liu, Junwen Wang, Gary S. Grest, Shengfeng Cheng
Strongly Correlated Electrons
Hund-projected Kanamori model: an effective description of Hund's metals near the Mott insulating regime
Johan Carlström
Hund's coupling plays a decisive role in shaping electron correlations of multi-orbital systems, giving rise to a class of materials–Hund's metals–that combine local-moment physics with metallic transport. Here we derive an effective low-energy description of such a system near the Mott insulating regime, starting from the multi-orbital Hubbard-Kanamori
Hamiltonian and projecting onto the high-
spin manifold favored by Hund's first rule. The resulting Hund-projected Kanamori model captures the interplay between carrier motion and
magnetic correlations in the presence of strong Hund's coupling. In the undoped limit, the model reduces to a
spin-$N/2$ Heisenberg system with suppressed
quantum fluctuations, approaching the classical limit for realistic five-band configurations. Upon doping, carrier motion couples strongly to the
spin background and drives
ferromagnetic correlations through a Hund-enhanced kinetic mechanism analogous to, but much stronger than, Nagaoka ferromagnetism. Owing to its reduced sign problem, the model can be addressed with advanced path-integral methods to determine quasiparticle structure and effective interactions between carriers-quantities that are challenging to obtain with other methods. This framework establishes a microscopic bridge between the Kanamori model and the emergent
magnetic and transport phenomena characteristic of Hund's metals.
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Soft Condensed Matter
Memory Effects in Contact Line Friction
Niklas Wolf and Nico van der Vegt
When a drop of
liquid comes into contact with a solid surface, it relaxes towards an
equilibrium configuration, either wetting the surface or remaining in a droplet-like shape with a finite contact angle. The force driving the process towards
equilibrium is the corresponding out-of-balance Young's force. However, the speed with which the
liquid front advances depends strongly on an opposing friction force arising from dissipative processes due to the moving solid-
liquid-gas contact line. In analogy to the treatment of hydrodynamic friction we present an exact method, based on the Mori-Zwanzig formalism, to extract this friction from
equilibrium data. We find that the contact line exhibits long-lasting
memory with a characteristic power-law decay due to coupling to the systems hydrodynamic modes. Within linear response regime, we obtain the frequency-dependent dissipative and elastic response of the contact line to an external perturbation, including a frequency-dependent friction coefficient. Similar to hydrodynamic friction in
liquids, we find that the friction decreases beyond a characteristic frequency and the system exhibits predominantly elastic behavior.
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Strongly Correlated Electrons
Strong-coupling theory of bilayer plasmon excitations
Hiroyuki Yamase, Luciano Zinni, Matías Bejas et al. (+1 more)
Recently plasmon excitations in
bilayer lattice systems were studied extensively in the weak-coupling regime. Unlike single-layer systems, these
bilayers exhibit two distinct modes, $\omega_{\pm}$, which show characteristic dependences upon the momentum and hopping integrals along the $z$ direction. To apply them to cuprates, strong correlation effects should be considered, but a comprehensive analysis has not yet been investigated. In this work, we present a strong-coupling theory to analyze the charge dynamics of a
bilayer system, utilizing the $t$-$J$-$V$ model, which includes the long-range Coulomb interaction, $V$, on a
lattice. Although our theoretical framework is fundamentally different from the weak-coupling approach, we find that resulting plasmon excitations are similar to those of a weak-coupling theory. A key distinction is that our strong-coupling framework reveals a noticeable suppression of particle-hole excitations, which allows the plasmon modes to remain well-defined over a wider region of momentum. We suggest that the experimentally reported plasmon excitations in Y-based cuprates can be described by the $\omega_{-}$ mode, although we call for more systematic experiments to verify this.
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All authors Hiroyuki Yamase, Luciano Zinni, Matías Bejas, Andrés Greco
Strongly Correlated Electrons · Cross-listed from hep-th
Krylov Complexity of Supersymmetric SYK Models
James Chryssanthacopoulos and David Vegh
We study the effect of supersymmetry breaking on Krylov complexity in the $\mathcal{N}=2$ SYK model under irrelevant and mass deformations of the
Hamiltonian. The irrelevant deformation breaks $\mathcal{N}=2$ supersymmetry down to $\mathcal{N}=1$, while the mass deformation breaks supersymmetry completely. Using Krylov subspace methods, we analyze the Lanczos sequence, Krylov dimension, complexity, and
entropy of the undeformed model and both deformations at finite system size. Both deformations enlarge the Krylov space and raise the saturation complexity as the BPS degeneracy is lifted. For the system sizes explored, the irrelevant deformation drives the saturation complexity to roughly half the Krylov dimension, while the mass deformation decreases it over an intermediate range of deformation strengths as the system drifts toward integrability. These distinct behaviors reveal how the mechanism of supersymmetry breaking leaves an imprint on
quantum complexity.
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Superconductivity
Light-induced Asymmetric Pseudogap below T$_\text{c}$ in cuprates
D. Armanno, O. Gingras, F. Goto et al. (+15 more)
To this day, high-temperature cuprate
superconductors remain an unparalleled platform for studying the competition and coexistence of emergent, static and dynamic,
quantum phases of matter exhibiting high transition temperature non-s-wave superconductivity, non-
Fermi liquid transport and a still enigmatic pseudogap regime. However, how superconductivity emerges alongside and competes with the pseudogap regime remains an open question. Here, we present a high-resolution, time- and angle-resolved photoemission study of the near-antinodal region of optimally-doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. For a sufficiently high excitation fluence, we disrupt superconductivity and drive a transient change from a symmetric superconducting-like to an asymmetric pseudogap-like density of states, for electronic temperatures well below the
equilibrium superconducting critical temperature. Conversely, when the superconductivity is fully restored, the pseudogap is suppressed, as signaled by a fully particle-hole symmetric density of states. A unique aspect of our experiments is that the pseudogap coexists with superconducting features at intermediate times or at intermediate fluence. Our findings challenge the paradigm that superconductivity emerges by establishing phase coherence in the pseudogap. Instead, our experimental results, supported by phenomenological theory, demonstrate that the two states compete, and that the low-temperature ground state of the cuprates originates from a competition between superconducting and pseudogap states.
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All authors D. Armanno, O. Gingras, F. Goto, J.-M. Parent, A. Longa, A. Jabed, B. Frimpong, R.D. Zhong, J. Schneeloch, G. D. Gu, G. Jargot, H. Ibrahim, F. Legare, B.J. Siwick, N. Gauthier, A. Georges, A.J. Millis, F. Boschini
Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Real-time Monitoring of Neon Film Growth for Electron-on-Neon Qubits
Sidharth Duthaluru, Kaiwen Zheng, Erik A. Henriksen et al. (+1 more)
Electron-on-neon (eNe) charge states coupled to superconducting
circuits are a promising platform for
quantum computing. Control over the formation of these charge states requires techniques to track and control the growth of solid Ne films on the
circuit surface. We demonstrate a real-time Ne film-growth monitor using high-transition-temperature (high-$T_c$) YBCO microwave resonators. The high $T_c$ enables tracking of the film thickness near Ne's triple temperature and below. Across more than 300 solidification experiments, we find that the final Ne thickness varies stochastically from a few nm to a few $\mu$m for films solidified from the
liquid phase. By increasing the driving power in the resonator, we consistently reduce the final thickness to below 100 nm. These results represent an important step toward controlled formation of Ne films for eNe
qubits and highlight the broader utility of high-$T_c$ resonators for hybrid
quantum systems.
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All authors Sidharth Duthaluru, Kaiwen Zheng, Erik A. Henriksen, Kater W. Murch
Strongly Correlated Electrons · Cross-listed from quant-ph
Multi-Field Relativistic Continuous Matrix Product States
Karan Tiwana and Antoine Tilloy
Relativistic continuous
matrix product states (RCMPS) are a powerful variational ansatz for
quantum field theories of a single field. However, they inherit a property of their non-relativistic counterpart that makes them divergent for models with multiple fields, unless a regularity condition is satisfied. This has so far restricted the use of RCMPS to toy models with a single self-interacting field. We address this long standing problem by introducing a Riemannian optimization framework, that allows to minimize the energy density over the regular submanifold of multi-field RCMPS, and thus to retain purely variational results. We demonstrate its power on a model of two interacting scalar fields in $1+1$ dimensions. The method captures distinct
symmetry-breaking phases, and the signature of a Berezinskii-Kosterlitz-Thouless (BKT) transition along an $O(2)$-symmetric parameter line. This makes RCMPS usable for a far larger class of problems than before.
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Soft Condensed Matter · Cross-listed from physics.bio-ph
Rectification of stress by fiber networks: Manifestation of non-linear screening through self-organized buckling
Kanaya Malakar, Albert Countryman and Bulbul Chakraborty
Force transmission at large length scales is crucial for such biological functions as
cell motility and morphogenesis. The networks that transmit these forces are malleable, patterned by active forces generated at the microscale by biological motors. In this paper we explore a simple model of a non-linear fiber network which has only two modes of deformation, but exhibits diverse mechanical phases with distinct large-scale response, tuned by the strength of a microscopic force dipole. We demonstrate, via numerical simulations, that the network is remodeled by organized patterns of buckling, which lead to a renormalization of the Poisson ratio. Finally, we show that the emergent behavior at large length scales can be ascribed to "mechanical screening" of the force dipole, analogous to dielectric screening of charges in electrostatics.
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Materials Science · Cross-listed from quant-ph
Elucidating the Inter-system Crossing of the Nitrogen-Vacancy Center up to Megabar Pressures
Benchen Huang, Srinivas V. Mandyam, Weijie Wu et al. (+12 more)
The integration of Nitrogen-Vacancy color centers into diamond anvil
cells has opened the door to
quantum sensing at megabar pressures. Despite a multitude of experimental demonstrations and applications ranging from
quantum materials to geophysics, a detailed microscopic understanding of how stress affects the NV center remains lacking. In this work, using a combination of first principles calculations as well as high-pressure NV experiments, we develop a complete description of the NV's optical properties under general stress conditions. In particular, our ab initio calculations reveal the complex behavior of the NV's inter-system crossing rates under stresses that both preserve and break the defect's
symmetry. Crucially, our proposed framework immediately resolves a number of open questions in the field, including: (i) the microscopic origin of the observed contrast-enhancement in (111)-oriented anvils, and (ii) the surprising observation of NV contrast-inversion in certain high-pressure regimes. Our work lays the foundation for optimizing the performance of NV high-pressure sensors by controlling the local stress environment, and more generally, suggests that
symmetry-breaking stresses can be utilized as a novel tuning knob for generic solid-state
spin defects.
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All authors Benchen Huang, Srinivas V. Mandyam, Weijie Wu, Bryce Kobrin, Prabudhya Bhattacharyya, Yu Jin, Bijuan Chen, Max Block, Esther Wang, Zhipan Wang, Satcher Hsieh, Chong Zu, Christopher R. Laumann, Norman Y. Yao, Giulia Galli