Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice

Abstract

We investigate the critical behavior of the random-bond +- J Ising model on a square lattice at the multicritical Nishimori point in the T-p phase diagram, where T is the temperature and p is the disorder parameter (p=1 corresponds to the pure Ising model). We perform a finite-size scaling analysis of high-statistics Monte Carlo simulations along the Nishimori line defined by $2p-1=\mathrm{Tanh}(1/T)$, along which the multicritical point lies. The multicritical Nishimori point is located at p^*=0.89081(7), T^*=0.9528(4), and the renormalization-group dimensions of the operators that control the multicritical behavior are y_1=0.655(15) and y_2 = 0.250(2); they correspond to the thermal exponent ν= 1/y_2=4.00(3) and to the crossover exponent ϕ= y_1/y_2=2.62(6).

23 pages

References in corpus (5)

• The 3D +-J Ising model at the ferromagnetic transition line
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• Multicritical Point Relations in Three Dual Pairs of Hierarchical-Lattice Ising Spin-Glasses
• Critical behavior of the random-anisotropy model in the strong-anisotropy limit
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• Tensor network Monte Carlo simulations for the two-dimensional random-bond Ising model
• An analog of topological entanglement entropy for mixed states
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• Critical and multicritical behavior of the +- J Ising model in two and three dimensions
• Revisiting Nishimori multicriticality through the lens of information measures
• Exact results for spin glass criticality
• Dynamical critical behavior on the Nishimori point of frustrated Ising models
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models
• Boundary Criticality at the Nishimori Multicritical Point