Abstract
The authors discuss the anisotropic frustrated Ising model on a square lattice in the presence of annealing. The host lattice has bonds of strength+J. Defects of strength -J are introduced with concentrations c1 along the horizontal (x) direction and c2 along the vertical (y) direction. The annealed model is considered. It is found that for certain ranges of anisotropy and of defect concentration there exists both a high- and a low-temperature paramagnetic phase. A study of bond-bond correlation functions provides an explanation of the low-temperature phase in terms of highly ordered clusters separated from each other by domain walls of negligible energy. The behaviour is very different from the isotopic case.
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