On the critical exponent $\alpha$ of the 5D random-field Ising model

Abstract

We present a complementary estimation of the critical exponent $\alpha$ of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result $\alpha =0.12(2)$ is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at $D=5$.

arXiv comment11 pages, 7 figures, final version with minor corrections

References in corpus (34)

• Precision Islands in the Ising and $O(N)$ Models
• The three-dimensional random field Ising magnet: interfaces, scaling, and the nature of states
• Universality in the three-dimensional random-field Ising model
• 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
• Universality in Three Dimensional Random-Field Ground States
• Exact Ground State Properties of Disordered Ising-Systems
• Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking
• Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions
• Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
• Critical behavior of colloid-polymer mixtures in random porous media
• Restoration of dimensional reduction in the random-field Ising model at five dimensions
• Susceptibility and Percolation in 2D Random Field Ising Magnets
• The random-field specific heat critical behavior at high magnetic concentration: Fe(0.93)Zn(0.07)F2
• Ground state numerical study of the three-dimensional random field Ising model
• 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
• Modified Scaling Relation for the Random-Field Ising Model
• Critical behavior of the Random-Field Ising model at and beyond the Upper Critical Dimension
• Critical slowing down in polynomial time algorithms
• Scattering Properties of Paramagnetic Ground States in the Three-Dimensional Random-Field Ising Model
• Critical exponents of four-dimensional random-field Ising systems
• Ground State Structure of Random Magnets
• Ground state structure of diluted antiferromagnets and random field systems
• Domain walls and Schramm-Loewner evolution in the random-field Ising model
• Percolation in three-dimensional random field Ising magnets
• Critical scaling in random-field systems: 2 or 3 independent exponents?
• Monte Carlo Simulations of the Random-Field Ising Model
• Critical Exponents of the Classical Heisenberg Ferromagnet
• First excitations in two- and three-dimensional random-field Ising systems
• Extremal statistics in the energetics of domain walls
• Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model
• Degeneracy Algorithm for Random Magnets

Cited by in corpus (1)

• Finite-size scaling of the random-field Ising model above the upper critical dimension