Abstract
The Ising antiferromagnetic in the presence of a magnetic field on an anisotropic square lattice is studied by Monte Carlo simulation. We obtained the phase diagram in the T – H plane investigating the reentrant behavior around of the critical field H c = 2 J y . Using the Binder cumulant we locate the critical temperature T c as a function of H. In order to test our simulation, for null field we obtain the critical behavior of T c as a function of r = J y / J x and is in excellent agreement with exact solution of Onsager. Our results indicate a second-order transition for all values of H and particular case r = 1 (independent of the ratio r ≠ 0 ), where not reentrant behavior was observed.
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