Universality in the three-dimensional random-field Ising model

Abstract

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.

7 pages, 4 figures, 4 tables. Version to be published in Phys. Rev. Lett. Appendices contain Supplemental Material

References in corpus (39)

• Exact evolution equation for the effective potential
• Complexity in Strongly Correlated Electronic Systems
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Colossal Effects in Transition Metal Oxides Caused by Intrinsic Inhomogeneities
• Critical exponents of the three dimensional diluted Ising model
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• Critical Behavior of Random Bond Potts Models
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Supersymmetry and its spontaneous breaking in the random field Ising model
• Specific-Heat Exponent of Random-Field Systems via Ground-State Calculations
• New Universality Class in three dimensions: the Antiferromagnetic $R{P}^2$ model
• Ising exponents in the two-dimensional site-diluted Ising model
• Scale Invariance in disordered systems: the example of the Random Field Ising Model
• Universality in Three Dimensional Random-Field Ground States
• The 3-d Random Field Ising Model at zero temperature
• The four dimensional site-diluted Ising model: a finite-size scaling study
• Measures of critical exponents in the four dimensional site percolation
• Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking
• Equilibrium random-field Ising critical scattering in the antiferromagnet Fe(0.93)Zn(0.07)F2
• Scaling of the Random-Field Ising Model at Zero Temperature
• Critical behavior of colloid-polymer mixtures in random porous media
• Ground states and thermal states of the random field Ising model
• Universality in Random Systems: the case of the 3-d Random Field Ising model
• First-order transition features of the 3D bimodal random-field Ising model
• The random-field specific heat critical behavior at high magnetic concentration: Fe(0.93)Zn(0.07)F2
• Numerical study of the random field Ising model at zero and positive temperature
• Ground state numerical study of the three-dimensional random field Ising model
• First order transition in a three dimensional disordered system
• Critical slowing down in polynomial time algorithms
• Ground State Structure of Random Magnets
• Critical structure factor in Ising systems
• Switchable Hardening of a Ferromagnet at Fixed Temperature
• Comprehensive study of the critical behavior in the diluted antiferromagnet in a field
• Critical Exponents of the Classical Heisenberg Ferromagnet
• Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
• Percolation on Strings and the Cover-up of the c=1 Disaster
• Colloids and polymers in random colloidal matrices: demixing under good-solvent conditions
• Critical Exponents of the pure and random-field Ising models

Cited by in corpus (76)

• The nonperturbative functional renormalization group and its applications
• Critical parameters of the three-dimensional Ising spin glass
• Evidence for a disordered critical point in a glass-forming liquid
• Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions
• Scaling and universality in the phase diagram of the 2D Blume-Capel model
• Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
• Restoration of dimensional reduction in the random-field Ising model at five dimensions
• Criticality of the random field Ising model in and out of equilibrium: a nonperturbative functional renormalization group description
• Phase transition for quenched coupled replicas in a plaquette spin model of glasses
• Deep Learning on the 2-Dimensional Ising Model to Extract the Crossover Region with a Variational Autoencoder
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Review of recent developments in the random-field Ising model
• Efficient numerical methods for the random-field Ising model: Finite-size scaling, reweighting extrapolation, and computation of response functions
• Universality from disorder in the random-bond Blume-Capel model
• Universal critical behavior of the 2d Ising spin glass
• The Quantum Transition of the Two-Dimensional Ising Spin Glass: A Tale of Two Gaps
• Phase Transition in 3d Heisenberg Spin Glasses with Strong Random Anisotropies, through a Multi-GPU Parallelization
• The fate of Parisi-Sourlas supersymmetry in Random Field models
• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
• Random-field Ising model criticality in a glass-forming liquid
• Random Field Ising-like effective theory of the glass transition II: Finite Dimensional Models
• Statistical mechanics of coupled supercooled liquids in finite dimensions
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Activated dynamic scaling in the random-field Ising model: a nonperturbative functional renormalization group approach
• Ising universality in the two-dimensional Blume-Capel model with quenched random crystal field
• The random field XY model on sparse random graphs shows replica symmetry breaking and marginally stable ferromagnetism
• Adaptive Multi-GPU Exchange Monte Carlo for the 3D Random Field Ising Model
• Finite-size scaling of the random-field Ising model above the upper critical dimension
• Diluted antiferromagnets in a field seem to be in a different universality class than the random-field Ising model
• Numerical observation of a glassy phase in the three-dimensional Coulomb glass
• Critical behavior of the spin-3/2 Blume Capel quantum model with two random transverse single-ion anisotropies
• Diluted Antiferromagnetic 3D Ising model in a field
• On the phase transition of the 3D random field Ising model
• Condensation of helium in aerogels and athermal dynamics of the Random Field Ising Model
• Random-field Ising model: Insight from zero-temperature simulations
• Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model
• Thermal vestiges of avalanches in the driven random field Ising model
• Approximate ground states of the random-field Potts model from graph cuts
• Fluids in porous media: The case of neutral walls
• Protect Measurement-Induced Phase Transition from Noise
• Effect of random field disorder on the first order transition in $p$-spin interaction model
• Charge ordering in the three-dimensional Coulomb glass at finite temperatures and low disorders
• Spin-glass dynamics: experiment, theory and simulation
• Critical Exponents of the Random Field Hierarchical Model
• Parisi-Sourlas-like dimensional reduction of quantum gravity in the presence of observers
• Suppression of spinodal instability by disorder in an athermal system
• Finite-dimensional signature of spinodal instability in an athermal hysteretic transition
• The Effect of Defects on Magnetic Droplet Nucleation
• On the critical exponent $\alpha$ of the 5D random-field Ising model
• Critical behavior of the three-state random-field Potts model in three dimensions
• Phase Transitions of the Variety of Random-Field Potts Models
• Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
• Dynamic Phase Transition in 2D Ising Systems: Effect of Anisotropy and Defects
• The Sherrington-Kirkpatrick spin glass model in the presence of a random field with a joint Gaussian probability density function for the exchange interactions and random fields
• The effects of external noise on threshold induced correlations in ferromagnetic systems
• Anomalous finite size corrections in random field models
• Massively parallel simulations for disordered systems
• Effective and asymptotic criticality of structurally disordered magnets
• Hyperscaling violation in Ising Spin Glasses
• The $\epsilon$ expansion and Universality in three dimensions
• Random displacements in critical Rydberg atom arrays
• On the breakdown of dimensional reduction and supersymmetry in random-field models
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy
• Kinetic Random-Field Nonreciprocal Ising Model
• Efficient algorithms for computing ground states of the 2D random-field Ising model
• Quasi-exact ground-state algorithm for the random-field Potts model
• Hyperscaling breakdown and Ising Spin Glasses: the Binder cumulant
• Hysteresis and return point memory in the random field Blume Capel model
• Universality in the two-dimensional dilute Baxter-Wu model
• Absorbing phase transitions with memory in critical scaling
• The Schwartz-Soffer and more inequalities for random fields
• Inter-Event Time Power Laws in Heterogeneous Systems
• Understanding jump discontinuity in disordered system
• Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields
• Canonical equilibrium of mean-field $O(n)$~models in the presence of random fields