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

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

2008-03-04

arxiv.org/abs/0803.0444v1

Phys. Rev. E 77 (2008) 051115

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages

Scientific paper

10.1103/PhysRevE.77.051115

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 $2p-1={\rm Tanh}(1/T)$, 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 \nu= 1/y_2=4.00(3) and to the crossover exponent \phi= y_1/y_2=2.62(6).

Affiliated with

Also associated with

No associations

Rating

Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multicritical Nishimori point in the phase diagram of the +- J Ising model on a square lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406283