2d frustrated Ising model with four phases

Details 2d frustrated Ising model with four phases 2d frustrated Ising model with four phases

1997-05-08

arxiv.org/abs/cond-mat/9705076v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

17 pages, Plain TeX, uses Harvmac.tex, 4 ps figures, submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.56.2751

In this paper we consider a 2d random Ising system on a square lattice with nearest neighbour interactions. The disorder is short range correlated and asymmetry between the vertical and the horizontal direction is admitted. More precisely, the vertical bonds are supposed to be non random while the horizontal bonds alternate: one row of all non random horizontal bonds is followed by one row where they are independent dichotomic random variables. We solve the model using an approximate approach that replace the quenched average with an annealed average under the constraint that the number of frustrated plaquettes is keep fixed and equals that of the true system. The surprising fact is that for some choices of the parameters of the model there are three second order phase transitions separating four different phases: antiferromagnetic, glassy-like, ferromagnetic and paramagnetic.

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