Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model

Details Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model

2008-11-13

arxiv.org/abs/0811.2101v3

J. Stat. Phys. 135 (2009), 1039

Physics

Condensed Matter

Disordered Systems and Neural Networks

32 pages, added refs and a discussion on hyperscaling

Scientific paper

10.1007/s10955-009-9705-5

We consider the random-bond +- J Ising model on a square lattice as a function of the temperature T and of the disorder parameter p (p=1 corresponds to the pure Ising model). We investigate the critical behavior along the paramagnetic-ferromagnetic transition line at low temperatures, below the temperature of the multicritical Nishimori point at T*= 0.9527(1), p*=0.89083(3). We present finite-size scaling analyses of Monte Carlo results at two temperature values, T=0.645 and T=0.5. The results show that the paramagnetic-ferromagnetic transition line is reentrant for TT*. Our results for the critical exponents are consistent with the hyperscaling relation 2 beta/nu - eta = d - 2 = 0.

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