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 = tanh(1/T), along which the multicritical point lies. The multicritical Nishimori point is located at p*=0.890 81(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 nu equivalent to 1/y(2)=4.00(3) and to the crossover exponent phi equivalent to y(1)/y(2)=2.62(6).

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

VICARI, ETTORE
2008-01-01

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 = tanh(1/T), along which the multicritical point lies. The multicritical Nishimori point is located at p*=0.890 81(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 nu equivalent to 1/y(2)=4.00(3) and to the crossover exponent phi equivalent to y(1)/y(2)=2.62(6).
2008
Hasenbusch, M; Toldin, Fp; Pelissetto, A; Vicari, Ettore
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/123984
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