Exchange Monte Carlo Method and Application to Spin Glass Simulations

Abstract

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is introduced. This exchange process is expected to let the system at low temperatures escape from a local minimum. By using this algorithm the three-dimensional $\pm J$ Ising spin glass model is studied. The ergodicity time in this method is found much smaller than that of the multi-canonical method. In particular the time correlation function almost follows an exponential decay whose relaxation time is comparable to the ergodicity time at low temperatures. It suggests that the system relaxes very rapidly through the exchange process even in the low temperature phase.

10 pages + uuencoded 5 Postscript figures, REVTex

References in corpus (6)

• Simulated Tempering: A New Monte Carlo Scheme
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• Finite-size scaling in two-dimensional Ising spin glass models
• Degeneracy and Strong Fluctuation-Induced First-Order Phase Transition in the Dipolar Pyrochlore Antiferromagnet
• Vortex glass transition in a frustrated 3D XY model with disorder
• Equilibration times in numerical simulation of structural glasses: Comparing parallel tempering and conventional molecular dynamics
• Appropriate reduction of the posterior distribution in fully Bayesian inversions
• First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions
• The mean field infinite range p=3 spin glass: equilibrium landscape and correlation time scales
• Monte Carlo study of the ordering of the weakly anisotropic Heisenberg spin glass in magnetic fields
• Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
• Supersolid phases in a realistic three-dimensional spin model
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Knots are Generic Stable Phases in Semiflexible Polymers
• Cluster Heat Bath Algorithm in Monte Carlo Simulations of Ising Models
• Nonmonotonic size dependence of the critical concentration in 2D percolation of straight rigid rods under equilibrium conditions
• Thermodynamics of a Tiling Model
• Statistical physical theory of mode-locking laser generation with a frequency comb
• Shape deformation of lipid membranes by banana-shaped protein rods: Comparison with isotropic inclusions and membrane rupture
• Memory-Efficient FPGA Implementation of Stochastic Simulated Annealing
• Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
• Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials
• A Worm Algorithm for Two-Dimensional Spin Glasses
• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Local field distributions in spin glasses
• Bayesian Structural Model Updating with Multimodal Variational Autoencoder
• Resolving structural transitions in spherical dust clusters
• Ground-state topology of the Edwards-Anderson +/-J spin glass model
• Glassiness and Lack of Equipartition in Random Lasers: the common roots of Ergodicity Breaking in Disordered and Non-linear Systems
• Binding of anisotropic curvature-inducing proteins onto membrane tubes
• Wang-Landau molecular dynamics technique to search for low-energy conformational space of proteins
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Microcanonical thermostatistics of coarse-grained proteins with amyloidogenic propensity
• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Molecular dynamics of C-peptide of ribonuclease A studied by replica-exchange Monte Carlo method and diffusion theory
• High-Performance Physics Simulations Using Multi-Core CPUs and GPGPUs in a Volunteer Computing Context
• Critical behavior of the random-anisotropy model in the strong-anisotropy limit
• An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation
• Mathematical understanding of detailed balance condition violation and its application to Langevin dynamics
• The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model
• Multiscale enhanced path sampling based on the Onsager-Machlup action: Application to a model polymer
• Equilibrium spin-glass transition of magnetic dipoles with random anisotropy axes
• Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass
• Thickness-dependent secondary structure formation of tubelike polymers
• General approach for studying first-order phase transitions at low temperatures
• Thermodynamics of polymer adsorption to a flexible membrane
• Search for Common Minima in Joint Optimization of Multiple Cost Functions
• Replica theory for Levy spin glasses
• Field-driven quantum phase transitions in $S=1/2$ spin chains
• Role of further-neighbor interactions in modulating the critical behavior of the Ising model with frustration
• Nature of the Spin-glass State in the Three-dimensional Gauge Glass
• Optimized multicanonical simulations: a new proposal based on classical fluctuation theory
• Spin and density overlaps in the frustrated Ising lattice gas
• Accelerating molecular dynamics simulations with population annealing
• Ordering of the Heisenberg Spin Glass in High Dimensions
• Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase
• Influence of the Ground-State Topology on the Domain-Wall Energy in the Edwards-Anderson +/- J Spin Glass Model
• Phase transition of $q$-state clock models on heptagonal lattices
• Magnetic phase diagram of the coupled triangular spin tubes for CsCrF4
• Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
• Metropolis simulations of Met-Enkephalin with solvent-accessible area parameterizations
• Local excitations of a spin glass in a magnetic field
• Critical behavior of a triangular lattice Ising AF/FM bilayer
• Spin glasses and algorithm benchmarks: A one-dimensional view
• State Hierarchy Induced by Correlated Spin Domains in short range spin glasses
• Reaching the equilibrium state of frustrated triangular Ising magnet Ca3Co2O6
• Three-step melting of hard superdisks in two dimensions
• Helical and skyrmion lattice phases in three-dimensional chiral magnets: Effect of anisotropic interactions
• Geometric Allocation Approaches in Markov Chain Monte Carlo
• Computer simulations of the glass transition and glassy materials
• Fair sampling of ground-state configurations of binary optimization problems
• Spin glasses in the non-extensive regime
• Population Annealing Simulations of a Binary Hard Sphere Mixture
• Protein simulations combining an all-atom force field with a Go term
• Ordering of the Heisenberg spin glass in two dimensions
• Adaptive Multi-GPU Exchange Monte Carlo for the 3D Random Field Ising Model
• Structural phase transitions in geometrically frustrated antiferromagnets
• Convergence of Monte Carlo Simulations to Equilibrium
• First-order phase transitions: A study through the parallel tempering method
• Fractal dimension of domain walls in the Edwards-Anderson spin glass model
• Numerical estimation of entropy loss on dimerization: improved prediction of the quaternary structure of the GCN4 leucine zipper
• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors
• Speeding up parallel tempering simulations
• Phase and vortex correlations in Josephson-junction arrays at irrational frustration
• Three Dimensional Heisenberg Spin Glass Models with and without Random Anisotropy
• The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
• Short-time dynamics of polypeptides
• Equilibrium spin-glass transition of magnetic dipoles with random anisotropy axes on a site diluted lattice
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Kosterlitz-Thouless transition of magnetic dipoles on the two-dimensional plane
• Parallel-tempering cluster algorithm for computer simulations of critical phenomena
• Evaporation/condensation transition of the two dimensional Potts model in microcanonical ensemble
• Critical properties of the three- and four-dimensional gauge glass
• Frustrated colloidal ordering and fully packed loops in arrays of optical traps
• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Emergent symmetries and coexisting orders in Dirac fermion systems
• Viewing Vanilla Quantum Annealing Through Spin Glasses
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Estimating the Density of States of Frustrated Spin Systems
• DNA as a one-dimensional chiral material: Application to the structural transition between B form and Z form
• Optimized Broad-Histogram Ensembles for the Simulation of Quantum Systems
• Bond diluted Levy spin-glass model and a new finite size scaling method to determine a phase transition
• Numerical Solution-Space Analysis of Satisfiability Problems
• Polymer simulation by means of tree data-structures and a parsimonious Metropolis algorithm
• Statistical physics of hard combinatorial optimization: The vertex cover problem
• Ultrametric probe of the spin-glass state in a field
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
• Field-induced superconductor to insulator transition in Josephson-junction ladders
• Accelerated dimension-independent adaptive Metropolis
• Permutation Matrix Representation Quantum Monte Carlo
• Spatial correlation functions in 3-d Ising spin glasses
• Room-temperature antiferromagnetic CrSe monolayer with tunable metal-insulator transition in ferroelectric heterostructures
• Monte Carlo simulations of dissipative quantum Ising models
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures
• Critical behavior of the three- and ten-state short-range Potts glass: A Monte Carlo study
• Backbone and Sidechain Ordering in a small Protein
• The +/-J Spin Glass: Effects of Ground State Degeneracy
• Comparing different protocols of temperature selection in the parallel tempering method
• Massively parallelized replica-exchange simulations of polymers on GPUs
• Hard ellipsoids: analytically approaching the exact overlap distance
• Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings
• Minimum vertex cover problems on random hypergraphs: replica symmetric solution and a leaf removal algorithm
• Quantum Monte Carlo study of the formation of molecular polarizations and the antiferroelectric ordering in squaric acid crystals
• Thermodynamics of tubelike flexible polymers
• Monte Carlo algorithms are very effective in finding the largest independent set in sparse random graphs
• Exploring Quantum Annealing Architectures: A Spin Glass Perspective
• Monte Carlo simulations of glass-forming liquids beyond Metropolis
• Numerical observation of a glassy phase in the three-dimensional Coulomb glass
• Comparison of diluted antiferromagnetic Ising models on frustrated lattices in a magnetic field
• Statistical mechanical analysis of sparse linear regression as a variable selection problem
• Metamagnetism and zero-scale-factor universality in the two-dimensional $J$-$Q$ model
• Parallel Tempering for the planted clique problem
• Dual time scales in simulated annealing of a two-dimensional Ising spin glass
• Construction of nuclear envelope shape by a high-genus vesicle with pore-size constraint
• Shape transitions of high-genus fluid vesicles
• Structural reconstruction and anisotropic conductance in $4f$-ferromagnetic monolayer
• Exploring new frontiers in statistical physics with a new, parallel Wang-Landau framework
• Novel disordering mechanism in ferromagnetic systems with competing interactions
• Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
• Patch-planting spin-glass solution for benchmarking
• Tethered Monte Carlo: Managing rugged free-energy landscapes with a Helmholtz-potential formalism
• Genetic embedded matching approach to ground states in continuous-spin systems
• Simple flexible polymers in a spherical cage
• Vapor-liquid surface tension of strong short-range Yukawa fluid
• The nature of ergodicity breaking in Ising spin glasses as revealed by correlation function spectral properties
• Finding Ground States of Sherrington-Kirkpatrick Spin Glasses with Hierarchical BOA and Genetic Algorithms
• Fully Frustrated Ising System on a 3D Simple Cubic Lattice: Revisited
• From complex to simple : hierarchical free-energy landscape renormalized in deep neural networks
• Hierarchies in Nucleation Transitions
• Simulated Tempering and Magnetizing: An Application of Two-Dimensional Simulated Tempering to Two-Dimensional Ising Model and Its Crossover
• On the Use of Optimized Monte Carlo Methods for Studying Spin Glasses
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Structural Probe of a Glass Forming Liquid: Generalized Compressibility
• Anisotropic frustrated Heisenberg model on the honeycomb lattice
• Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab
• Side chain and backbone ordering in a polypeptide
• Combining Enhanced Sampling with Experiment Directed Simulation of the GYG peptide
• Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
• Non-equilibrium Relations for Spin Glasses with Gauge Symmetry
• Collective Monte Carlo updates through tensor network renormalization
• Comparison of Conformational Phase Behavior for Flexible and Semiflexible Polymers
• Optimized broad-histogram simulations for strong first-order phase transitions: Droplet transitions in the large-Q Potts model
• Reconstruction of thermally-symmetrized quantum autocorrelation functions from imaginary-time data
• Effect of orientational restriction on monolayers of hard ellipsoids
• Critical Behavior of Three-Dimensional Disordered Potts Models with Many States
• Extensive eigenvalues in spin-spin correlations: a tool for counting pure states in Ising spin glasses
• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• On Performance Measures for Infinite Swapping Monte Carlo Methods
• High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials
• Structural Signatures for Thermodynamic Stability in Vitreous Silica: Insight from Machine Learning and Molecular Dynamics Simulations
• Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model
• Stiffness from Disorder in Triangular-Lattice Ising Thin Films
• Quantum disordered ground state for hard-core bosons on the frustrated square lattice
• Understanding the Ising zigzag antiferromagnetism of FePS3 and FePSe3 monolayers
• Facilitating {\it ab initio} configurational sampling of multicomponent solids using an on-lattice neural network model and active learning
• Nonequilibrium work on spin glasses in longitudinal and transverse fields
• Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
• Static critical behavior of the $q-$states Potts model: High-resolution entropic study
• Chiral spin liquids with crystalline ${\mathbb{Z}}_2$ gauge order in a three-dimensional Kitaev model
• Emergent Power-Law Phase in the 2D Heisenberg Windmill Antiferromagnet: A Computational Experiment
• The classical mutual information in mean-field spin glass models
• Chiral Kosterlitz-Thouless transition in the frustrated Heisenberg antiferromagnet on a pyrochlore slab
• Numerical construction of the Aizenman-Wehr metastate
• A comparative study of selected parallel tempering methods
• Impact of bending stiffness on ground-state conformations for semiflexible polymers
• Spin Glass in the Bond-Diluted J1-J2 Ising Model on the Square Lattice
• Thermodynamic and spectral properties of adiabatic Peierls chains
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Normalizing flows as an enhanced sampling method for atomistic supercooled liquids
• Loop algorithm for classical Heisenberg models with spin-ice type degeneracy
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Unconventional critical activated scaling of two-dimensional quantum spin-glasses
• Squeezed ensemble for systems with first-order phase transitions
• Phase diagram of dipolar-coupled XY moments on disordered square lattices
• Directly observing replica symmetry breaking in a vector quantum-optical spin glass
• Stable intermediate phase of secondary structures for semiflexible polymers
• Exploring Replica-Exchange Wang-Landau sampling in higher-dimensional parameter space
• 1D valence bond solids in a magnetic field
• Improving efficiency of the path optimization method for a gauge theory
• Towards an optimal flow: Density-of-states-informed replica-exchange simulations
• Exploration of Order in Chaos with Replica Exchange Monte Carlo
• Phase diagram of the three-dimensional Gaussian random field Ising model: A Monte Carlo renormalization-group study
• A Monte Carlo Algorithm for Sampling Rare Events: Application to a Search for the Griffiths Singularity
• Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
• Critical behavior and universality in Levy spin glasses
• Generalized-ensemble simulations of spin systems and protein systems
• Analytical study of tunneling times in flat histogram Monte Carlo
• Broad histogram relation for the bond number and its applications
• Controllable inter-skyrmion attractions and resulting skyrmion-lattice structures in two-dimensional chiral magnets with in-plane anisotropy
• Ice, glass, and solid phases in artificial spin systems with quenched disorder
• Scalable Connectivity for Ising Machines: Dense to Sparse
• Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model
• Separation and fractionation of order and disorder in highly polydisperse systems
• A simple protocol for the probability weights of the simulated tempering algorithm: applications to first-order phase transitions
• Melting of the two-dimensional solid phase in the Gaussian-core model
• Study of the de Almeida-Thouless (AT) line in the one-dimensional diluted power-law XY spin glass
• Universality class of the mode-locked glassy random laser
• Lattice glass model in three spatial dimensions
• Proton strings and rings in atypical nucleation of ferroelectricity in ice
• Phase diagram of a three-dimensional dipolar model on a FCC lattice
• Weighted averages in population annealing: analysis and general framework
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Three-dimensional universality class of Ising model with power-law-correlated critical disorder
• An Efficient Simulation Protocol for Determining the Density of States: Combination of Replica-Exchange Wang-Landau Method and Multicanonical Replica-Exchange Method
• Data-analysis software framework 2DMAT and its application to experimental measurements for two-dimensional material structures
• Backbone structure of the Edwards-Anderson spin-glass model
• Equation of state of hard oblate ellipsoids by replica exchange Monte Carlo
• An Efficient Monte-Carlo Method for Calculating Free-Energy in Long-Range Interacting Systems
• Local Spin Glass Order in 1D
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Percolation of Fortuin-Kasteleyn clusters for the random-bond Ising model
• Random template placement and prior information
• Unveiling quasiparticle dynamics of topological insulators through Bayesian modelling
• Evidence of one-step replica symmetry breaking in a three-dimensional Potts glass model
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Pushing the Boundary of Quantum Advantage in Hard Combinatorial Optimization with Probabilistic Computers
• Quasicrystalline Order in Binary Dipolar Systems
• Glassy phases in Random Heteropolymers with correlated sequences
• Nature of the vortex-glass order in strongly type-II superconductors
• A small-world search for quantum speedup: How small-world interactions can lead to improved quantum annealer designs
• Feeding the multitude: A polynomial-time algorithm to improve sampling
• Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
• Entropy Inflection and Invisible Low-Energy States: Defensive Alliance Example
• Accelerating equilibrium spin-glass simulations using quantum annealers via generative deep learning
• Investigating multi-channel quantum tunneling in heavy-ion fusion reactions with Bayesian spectral deconvolution
• A deep investigation of NiO and MnO through the first principle calculations and Monte Carlo simulations
• Deterministic Approximate EM Algorithm; Application to the Riemann Approximation EM and the Tempered EM
• Theoretical study on stabilization and destabilization of magnetic skyrmions by uniaxial-strain-induced anisotropic Dzyaloshinskii--Moriya interactions
• Monte Carlo study on critical exponents of the classical Heisenberg model in ferromagnetic icosahedral quasicrystal
• Material-based analysis of spin-orbital Mott insulators
• Continuous symmetry breaking of low-dimensional systems driven by inhomogeneous oscillatory driving forces
• Simulating the nematic-isotropic phase transition of liquid crystal model via generalized replica-exchange method
• Image Analysis Based on Nonnegative/Binary Matrix Factorization
• Calculation of the Residual Entropy of Ice Ih by Monte Carlo simulation with the Combination of the Replica-Exchange Wang-Landau algorithm and Multicanonical Replica-Exchange Method
• Approximate ground states of the random-field Potts model from graph cuts
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Field-Induced Ordering in Dipolar Spin Ice
• Benchmarking Quantum Optimization for the Maximum-Cut Problem on a Superconducting Quantum Computer
• The QISG suite: high-performance codes for studying Quantum Ising Spin Glasses
• Line-Graph Approach to Spiral Spin Liquids
• Typical behavior of the linear programming method for combinatorial optimization problems: From a statistical-mechanical perspective
• Crossover scaling in the two-dimensional three-state Potts model
• Stability of topologically-protected quantum computing proposals as seen through spin glasses
• The Rubber Band Revisited: Wang-Landau Simulation
• Reduction of the sign problem near $T=0$ in quantum Monte Carlo simulations
• Ashkin-Teller criticality and weak-first-order behavior of phase transition to four-fold degenerate state in two-dimensional frustrated Ising antiferromagnets
• Effective Ruderman-Kittel-Kasuya-Yosida-like interaction in diluted double-exchange model: self-learning Monte Carlo approach
• Bayesian Modelling of Pattern Formation from One Snapshot of Pattern
• Magnetic phase transition in coupled spin-lattice systems: A replica-exchange Wang-Landau study
• Mass-scaling replica-exchange molecular dynamics optimizes computational resources with simpler algorithm
• Monte Carlo Study of Relaxor Systems: A Minimum Model for Pb(In${}_{1/2}$Nb${}_{1/2}$)O${}_3$}
• Low-energy Majorana states in spin-liquid transitions in a three-dimensional Kitaev model
• A Conformational Search Method for Protein Systems Using Genetic Crossover and Metropolis Criterion
• Infinite volume extrapolation in the one-dimensional bond diluted Levy spin-glass model near its lower critical dimension
• Computational Experiment on Glassy Dynamic Nature of the Field-Cooled Magnetization in an Ising Spin-Glass Model
• Pinning effects in a two-dimensional cluster glass
• Creating equilibrium glassy states via random particle bonding
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Unscreened universality class for superconductors with columnar disorder
• Skyrmion crystals in frustrated Shastry-Sutherland magnets
• Direct coupling of first-principles calculations with replica exchange Monte Carlo sampling of ion disorder in solids
• Learning to find order in disorder
• The Super-Potts glass: a new disordered model for glass-forming liquids
• Exploring topological spin order by inverse Hamiltonian design: A new stabilization mechanism for square skyrmion crystals
• Microcanonical thermostatistics analysis without histograms: cumulative distribution and Bayesian approaches
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Stochastic gradient method with accelerated stochastic dynamics
• Boltzmann sampling with quantum annealers via fast Stein correction
• Spin-glass dynamics: experiment, theory and simulation
• VIP -- Variational Inversion Package with example implementations of Bayesian tomographic imaging
• BKT transitions of the XY and six-state clock models on the various two-dimensional lattices
• The topological properties of QCD at high temperature: problems and perspectives
• Finite size scaling of the de Almeida-Thouless instability in random sparse networks
• Freezing of an unconventional two-dimensional plasma
• Vortex glass transitions in disordered three-dimensional XY models: Simulations for several different sets of parameters
• An effective introduction to the Markov Chain Monte Carlo method
• Extended scaling for ferromagnetic Ising models with zero-temperature transitions
• Fluctuation-induced first order phase transitions in type-1.5 superconductors in zero external field
• Optimized Folding Simulations of Protein A
• Evidence for non-universal scaling in dimension four Ising spin glasses
• Thermodynamic Construction of an One-Step Replica-Symmetry-Breaking Solution in Finite Connectivity Spin Glasses
• Dynamics and thermodynamics of a pair of interacting magnetic dipoles
• Finite temperature thermodynamic properties of the spin-1 nematics in an applied magnetic field
• First-order directional ordering transition in the three-dimensional compass model
• Magnetization Step in Spatially Distorted Heisenberg Kagome Antiferromagnets
• Higher-order tensor renormalization group approach to lattice glass model
• Obstacles to quantum annealing in a planar embedding of XORSAT
• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Spin glass state and enhanced spiral phase in doped delafossite oxide CuCrO2
• Phase diagram for ensembles of random close packed Ising-like dipoles as a function of texturation
• Defect-induced spin-glass magnetism in incommensurate spin-gap magnets
• A brief history of the introduction of generalized ensembles to Markov chain Monte Carlo simulations
• Optimal schedules for annealing algorithms
• Pure Glass in Finite Dimensions
• Single temperature for Monte Carlo optimization on complex landscapes
• Message-passing algorithm of quantum annealing with nonstoquastic Hamiltonian
• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• Short-range magnetic correlations in quasicrystalline i-Tb-Cd
• Bayesian Spectral Deconvolution of X-Ray Absorption Near Edge Structure Discriminating High- and Low-Energy Domains
• Nature and number of distinct phases in the random field Ising model
• Latent Space-based Stochastic Model Updating
• Message Passing Variational Autoregressive Network for Solving Intractable Ising Models
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Application of the parallel multicanonical method to lattice gas condensation
• Magnetic frustration in the cubic double perovskite Ba2NiIrO6
• Lattice Distortions and Magnetic Interactions in Single-Layer VOCl
• Spin glasses in a field show a phase transition varying the distance among real replicas (and how to exploit it to find the critical line in a field)
• Determining efficient temperature sets for the simulated tempering method
• Path optimization method for the sign problem
• Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
• Evidence of a second-order phase transition in the six-dimensional Ising spin glass in a field
• Energetics of clusters in the two-dimensional Ising spin glass
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Quantum criticality in a dissipative (2+1)-dimensional XY model of circulating currents in high-Tc cuprates
• Markov Chain Monte Carlo for Koopman-based Optimal Control: Technical Report
• Order-parameter fluctuations in Ising spin glasses at low temperatures
• Designed-walk replica-exchange method for simulations of complex systems
• Observation Site Selection for Physical Model Parameter Estimation toward Process-Driven Seismic Wavefield Reconstruction
• Finite-temperature ordering in a two-dimensional highly frustrated spin model
• Ising model on the aperiodic Smith hat
• Distribution of metastable states of Ising spin glasses
• Simulation of models for the glass transition: Is there progress?
• A strategy for solving difficulties in spin-glass simulations
• Assisted crystal growing by tempering metastable vapor-liquid fluids
• Two-dimensional Parallel Tempering for Constrained Optimization
• Energy-Decreasing Dynamics in Mean-Field Spin Models
• A comparison of extremal optimization with flat-histogram dynamics for finding spin-glass ground states
• Evidence that the AT transition disappears below six dimensions
• Quasi-long-range order in the 2D XY model with random phase shifts
• Binder Parameter of a Heisenberg Spin-Glass Model in Four Dimensions
• Classical Heisenberg and planar spin models on the windmill lattice
• Window measurements of simulations in random systems
• Topological phase transitions and thermal Hall effect in a noncollinear spin texture
• Comprehensive studies on the universality of BKT transitions -- Machine-learning study, Monte Carlo simulation, and Level-spectroscopy method
• Size dependence of the internal energy in Ising and vector spin glasses
• Phase transitions in a frustrated biquadratic Heisenberg model with coupled orbital degree of freedom for iron-based superconductors
• Incommensurate spin density wave as a signature of spin-orbit coupling
• Application of Monte Carlo Method to Phase Separation Dynamics of Complex Systems
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• A quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians
• Fast Bayesian Deconvolution using Simple Reversible Jump Moves
• Topological floating phase in a spatially anisotropic frustrated Ising model
• Application of Simulated Tempering and Magnetizing to a Two-Dimensional Potts Model
• Ordering of the Heisenberg spin glass in four dimensions
• Tuning the disorder of superglasses
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• The grasshopper problem
• Quantum Monte Carlo study of the transverse-field Ising model on a frustrated checkerboard lattice
• Statistical mechanics of glass transition in lattice molecule models
• Ground-state energy and entropy of the two-dimensional Edwards-Anderson spin-glass model with different bond distributions
• Criticality of compact and noncompact quantum dissipative $Z_4$ models in $(1+1)$ dimensions
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Spin glass behavior in a random Coulomb antiferromagnet
• Deterministic flows of order-parameters in stochastic processes of quantum Monte Carlo method
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Histogram-Free Multicanonical Monte Carlo Sampling to Calculate the Density of States
• Reformulation of the Stochastic Potential Switching Algorithm and a Generalized Fourtuin-Kasteleyn Representation
• Thermodynamic Characterization of Synchronization-Optimized Oscillator-Networks
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Pair correlation function for spin glasses
• Activated sampling in complex materials at finite temperature: the properly-obeying-probability activation-relaxation technique
• Numerical results for the Edwards-Anderson spin-glass model at low temperature
• Ground-state properties of tubelike flexible polymers
• Z2 topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry
• Characterising the slow dynamics of the swap Monte Carlo algorithm
• Thermal algebraic-decay charge liquid driven by competing short-range Coulomb repulsion
• Dynamic Greedy Algorithms for the Edwards-Anderson Model
• Instantaneous normal modes of glass-forming liquids during the athermal relaxation process of the steepest descent algorithm
• Evolutionary Monte Carlo of QM properties in chemical space: Electrolyte design
• High temperature ideal Weyl semimetal phase and Chern insulator phase in ferromagnetic BaEuNiOsO6 and its (111) (BaEuNiOsO6)/(BaTiO3)10 superlattice
• Magnetic field-induced deformation of the spin-density wave microphases in Ca${}_3$Co${}_2$O${}_6$
• Generating Hard Ising Instances With Planted Solutions Using Post-Quantum Cryptographic Protocols
• Quantum response to time-dependent external fields
• Search for the Heisenberg spin glass on rewired square lattices with antiferromagnetic interaction
• Testing replica predictions in experiments
• Score distributions of gapped multiple sequence alignments down to the low-probability tail
• Statistical mechanics of two-dimensional foams: Physical foundations of the model
• Nonflat Histogram Techniques for Spin Glasses
• Intensity pseudo-localized phase in the glassy random laser
• Flat histogram method comparison on 2D Ising Model
• Performance of machine-learning-assisted Monte Carlo in sampling from simple statistical physics models
• String confinement in 2-form lattice gauge theory
• Critical property of spin-glass transition in a bond-disordered classical antiferromagnetic Heisenberg model with a biquadratic interaction
• Two dimensional frustrated magnets in high magnetic field
• Computational studies on magnetism and ferroelectricity
• Boolean decision problems with competing interactions on scale-free networks: Critical thermodynamics
• Graph clustering with Boltzmann machines
• Lack of monotonicity in spin glass correlation functions
• Thermodynamics and Kinetics of a Go Proteinlike Heteropolymer Model with Two-State Folding Characteristics
• Confinement-Higgs and deconfinement-Higgs transitions in three-dimensional $Z(2)$ LGT
• Solving Spin Glasses with Optimized Trees of Clustered Spins
• Absence of long-range order in a three-dimensional stacked Ising antiferromagnet on kagome lattice
• Secondary-Structure Phase Formation for Semifelxible Polymers by Bifurcation in Hyperphase Space
• Application of exchange Monte Carlo method to ordering dynamics
• Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: Strong heterogeneities and the backbone picture
• Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
• Effect of further-neighbor interactions on the magnetization behaviors of the Ising model on a triangular lattice
• Typical Approximation Performance for Maximum Coverage Problem
• Reducing autocorrelation time in determinant quantum Monte Carlo using Wang-Landau algorithm: application to Holstein model
• Numerical Aspects of Large Deviations
• Accelerating equilibrium isotope effect calculations: II. Stochastic implementation of direct estimators
• Statistical-mechanical Analysis of Linear Programming Relaxation for Combinatorial Optimization Problems
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
• Vortex solid phase with frozen undulations in superconducting Josephson-junction arrays in external magnetic fields
• Effect of Constraint Relaxation on the Minimum Vertex Cover Problem in Random Graphs
• Contrasting magnetism in VPS3 and CrI3 monolayers with the common honeycomb S = 3/2 spin lattice
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• Infrared Features of the Lattice Landau Gauge QCD
• Irreversible swap algorithms for soft sphere glasses
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Wang-Landau simulations with non-flat distributions
• Nematic order driven by superconducting correlations
• Engineering a skyrmion crystal in ferromagnetic/antiferromagnetic bilayers free from the DM interaction
• Spatial Monte Carlo Integration with Annealed Importance Sampling
• LiHoF4 as a spin-half non-standard quantum Ising system
• Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors
• Evidence of a glass transition in a 10-state non-mean-field Potts glass
• MCMC with Strings and Branes: The Suburban Algorithm (Extended Version)
• Random-bond disorder in two-dimensional non-collinear XY antiferromagnets: From quasi-long-range order to spin glass
• A statistical-mechanical study of evolution of robustness in noisy environment
• Numerical study of barriers and valleys in the free-energy landscape of spin glasses
• Critical aspects of three-dimensional anisotropic spin-glass models
• Swap Monte Carlo for diatomic molecules
• Spin glasses and percolation
• GPU-based simulation of the long-range Potts model via parallel tempering
• Quasi-chemical approximation for polyatomic mixtures
• On the efficient Monte Carlo implementation of path integrals
• Optimization via Quantum Preconditioning
• Multipolar multiferroics in $4d^2$/$5d^2$ Mott insulators
• Monte Carlo study on low-temperature phase diagrams of the $J_1$-$J_2$ classical $XY$ kagome antiferromagnet
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models
• Bayesian inference of ion velocity distribution function from laser-induced fluorescence spectra
• Dealing with correlated choices: How a spin-glass model can help political parties select their policies
• Monte Carlo studies of the ordering of the one-dimensional Heisenberg spin glass with long-range power-law interactions
• Ising distribution as a latent variable model
• Critical Scaling Properties at the Superfluid Transition of ${}^4$He in Aerogel
• Quantum orders in the frustrated Ising model on the bathroom tile lattice
• Parallel tempering Monte Carlo simulations of spherical fixed-connectivity model for polymerized membranes
• Surface phase transitions in one-dimensional channels arranged in a triangular cross-sectional structure: Theory and Monte Carlo simulations
• Dynamical traps in Wang-Landau sampling of continuous systems: Mechanism and solution
• Parallel Tempering-Inspired Distributed Binary Optimization with In-Memory Computing
• Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase
• Hyperscaling violation in Ising Spin Glasses
• Massively parallel simulations for disordered systems
• Extension of the constant exchange probability method to multi-dimensional replica exchange Monte Carlo applied to the tri-critical spin-1 Blume-Capel model
• A List Referring Monte Carlo Method for Lattice Glass Models
• Automatic Structural Search of Tensor Network States including Entanglement Renormalization
• Magnetic ordering of random dense packings of freely rotating dipoles
• Estimating statistical distributions using an integral identity
• Multiscaling in the YX model of networks
• Phase Boundaries of Bulk 2D Rhombi
• Latent Space-Based Likelihood Estimation Using a Single Observation for Bayesian Updating of a Nonlinear Hysteretic Model
• Boolean decision problems with competing interactions on scale-free networks: Equilibrium and nonequilibrium behavior in an external bias
• Spin glass behavior of the antiferromagnetic Heisenberg model on scale free network
• Critical behavior of the 2D Ising model modulated by the Octonacci sequence
• Four-Spin Interactions as a Route to Multiple-Q Topological Magnetic Order
• Thermodynamic Integration Methods, Infinite Swapping and the Calculation of Generalized Averages
• Intrinsic regularization effect in Bayesian nonlinear regression scaled by observed data
• Extracting overlapping gravitational-wave signals of galactic compact binaries: a mini review
• Measuring free energy in parallel tempering Monte Carlo
• Numerical study of the overlap Lee-Yang singularities in the three-dimensional Edwards-Anderson model
• Hybrid Symmetry Breaking in Classical Spin Models With Subsystem Symmetries
• Crossover between tricritical and Lifshitz points in pyrochlore FeF${}_3$
• Spin correlation and Majorana spectrum in chiral spin liquids in a decorated-honeycomb Kitaev model
• The Eigenvalue Analysis of the Density Matrix of 4D Spin Glasses Supports Replica Symmetry Breaking
• Nonequilibrium-relaxation approach to quantum phase transitions: Nontrivial critical relaxation in cluster-update quantum Monte Carlo
• Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures
• The dipolar spin glass transition in three dimensions
• Large random correlations in individual mean field spin glass samples
• Deterministic replica-exchange method without pseudo random numbers for simulations of complex systems
• Improving accuracy of tree-tensor network approach by optimization of network structure
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Relaxational processes in the one-dimensional Ising model with long-range interactions
• Optimal Vertex Cover for the Small-World Hanoi Networks
• Performance prediction of massively parallel computation by Bayesian inference
• Efficient simulated tempering with approximated weights: Applications to first-order phase transitions
• Critical Behavior of the Three-Dimensional Random Anisotropy Heisenberg Model
• Application of the path optimization method to a discrete spin system
• Improvements to the Stochastic Series Expansion method for the $J{Q}_2$ model with a magnetic field
• Equi-Energy sampling does not converge rapidly on the mean-field Potts model with three colors close to the critical temperature
• Ferromagnetic frozen structures from the dipolar hard spheres fluid at moderate and small volume fractions
• Stripe order in quasicrystals
• Avoiding critical slowdown in models with SALR interactions
• Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution
• Numerical studies of the 2 and 3D gauge glass at low temperature
• Quantum disordered ground state for the frustrated square lattice
• Koopman analysis of combinatorial optimization problems with replica exchange Monte Carlo method
• Thermal phase transitions in a honeycomb lattice gas with three-body interactions
• Logarithmic critical slowing down in complex systems: from statics to dynamics
• Optimization and benchmarking of the thermal cycling algorithm
• Correlated Domains in Spin Glasses
• Monte Carlo estimation of the number of tatami tilings
• Academic Meeting Scheduling Using an Antiferromagnetic Potts Model
• Neural-network-assisted Monte Carlo sampling trained by Quantum Approximate Optimization Algorithm
• Statistical ensembles for phase coexistence states specified by noncommutative additive observables
• Short-wavelength mesophases in the ground states of core-softened particles in two-dimensions
• Approaching the ground states of the random maximum two-satisfiability problem by a greedy single-spin flipping process
• Ab initio determination of magnetic ground state of pyrochlore Y${}_2$Mn${}_2$O${}_7$
• Simulation of Spin Glass with a Variable-system-size Ensemble
• Quantum-Inspired Tempering for Ground State Approximation using Artificial Neural Networks
• Simulated tempering with irreversible Gibbs sampling techniques
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Composite Spatial Monte Carlo Integration Based on Generalized Least Squares
• On the algorithm to perform Monte Carlo simulations in cells with constant volume and variable shape
• Effect of constraint relaxation on dynamic critical phenomena in minimum vertex cover problem
• Rejection-free Glauber Monte Carlo for the 2D Random Field Ising Model via Hierarchical Probabilistic Counters
• A histogram-free multicanonical Monte Carlo algorithm for the basis expansion of density of states
• Phase transition in the computational complexity of the shortest common superstring and genome assembly
• Quasi-exact ground-state algorithm for the random-field Potts model
• The application of Monte Carlo methods for learning generalized linear model
• Nonlinear and spin-glass susceptibilities of three site-diluted systems
• Computing a Knot Invariant as a Constraint Satisfaction Problem
• Overlap renormalization group transformations for disordered systems
• The free and freer XY models
• Multicanonical Monte Carlo Ensemble Growth Algorithm
• Equilibrium and off-equilibrium simulations of chiral-glass order in three-dimensional Heisenberg spin glasses
• Characterization of Locality in Spin States and Forced Moves for Optimizations
• Optimal parallelisation strategies for flat histogram Monte Carlo sampling
• A Bayesian approach to functional regression: theory and computation
• Proposal of a Checking Parameter in the Simulated Annealing Method Applied to the Spin Glass Model
• Fragile magnetic order in metallic quasicrystals
• Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers
• Optimization by Record Dynamics
• Rate Distortion Theorem and the Multicritical Point of Spin Glass
• Resampling schemes in population annealing -- numerical results
• Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings
• Pseudo-likelihood produces associative memories able to generalize, even for asymmetric couplings
• Finite-temperature stability of skyrmion crystals in frustrated magnets: Role of sixfold anisotropy and uniform spin mode in momentum space
• Competing Antiferromagnetic and Spin-Glass Phases in a Hollandite Structure
• Effect of random antiferromagnetic exchange on the spin waves in a three-dimensional Heisenberg ferromagnet
• Off-Diagonal dipolar interactions in the mixed Ising--XY magnet $LiH{o}_{x}E{r}_{1-x}{F}_4$
• Path optimization method for the sign problem caused by fermion determinant
• Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model
• Lack of self-averaging of the critical internal energy in a weakly-disordered Baxter model
• Berezinskii-Kosterlitz-Thouless phase transitions of the antiferromagnetic Ising model with ferromagnetic next-nearest-neighbor interactions on the kagome lattice
• Two-dimensional simulated tempering for the isobaric-isothermal ensemble with fast on-the-fly weight determination
• Efficient Microcanonical Histogram Analysis and Application to Peptide Aggregation
• Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly-coupled ferromagnet
• Topological magnons in a non-coplanar magnetic order on the triangular lattice
• Simulated-annealing decoder for the XZZX code with greedy-matching initialization
• The Effect of Intrinsic Quantum Fluctuations on the Phase Diagram of Anisotropic Dipolar Magnets
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Frustration-induced degenerate spin state with up-up-down-down ordering in corner-connected Heisenberg square-plaquettes
• Role of positional disorder in fully textured ensembles of Ising-like dipoles
• Static self-induced heterogeneity in glass-forming liquids: Overlap as a microscope
• A Likelihood Approach for Inference of Population Heterogeneity in Particle Ensembles with Second-Order Langevin Dynamics
• Beyond Ground States: Physics-Inspired Optimization of Excited States of Classical Hamiltonians
• $SU(N)$ spin-phonon simulations of Floquet dynamics in spin $S>1/2$ Mott insulators
• Two-size Probability-Changing Cluster Algorithm
• Optimizing Temperature Distributions for Training Neural Quantum States using Parallel Tempering
• Accelerated Stochastic Sampling of Discrete Statistical Systems
• Machine learning in physics: The pitfalls of poisoned training sets
• Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Stabilization of zigzag order in NiPS${}_3$ via positive biquadratic interaction
• Critical properties of the antiferromagnetic Ising model on rewired square lattices
• Landscape computations for the edge of chaos in nonlinear dynamical systems
• Ratio Divergence Learning Using Target Energy in Restricted Boltzmann Machines: Beyond Kullback--Leibler Divergence Learning
• Probing the partition function for temperature-dependent potentials with nested sampling
• Phase Transitions for Cuboc Orders in Stacked Kagome Heisenberg Systems
• Ground states of 2d +-J Ising spin glasses via stationary Fokker-Planck sampling
• Bayesian inference of general noise-model parameters from the syndrome statistics of surface codes
• Simulated floating zone method
• Operator-Level Quantum Acceleration of Non-Logconcave Sampling
• Evidence of de Almeida-Thouless line below six dimensions
• Statistical mechanical models of integer factorization problem
• Neural Mode Jump Monte Carlo
• Multiphoton quantum simulation of the generalized Hopfield memory model
• Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
• Performance of the Extended Ising Machine for the Quadratic Knapsack Problem
• MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
• Efficient identification of critical regions via Flow Matching-based Monte Carlo initialization