T. Kawashima et A. Oguchi, IMPURITY EFFECTS ON 2-DIMENSIONAL ANISOTROPIC HEISENBERG ANTIFERROMAGNETS, Journal of the Physical Society of Japan, 63(5), 1994, pp. 1908-1915
We study magnetic behavior of a completely random dilute S = 1/2 aniso
tropic Heisenberg antiferromagnet on the two-dimensional square lattic
e by using the coherent potential approximation. In the anisotropic He
isenberg model, the xy-anisotropy defined fy J(p)(z)/J(p)(xy) is encha
nced with increasing nonmagnetic impurities, where J(p)(z) and J(p)(xy
) are the z and xy components of the coherent exchange constant, respe
ctively. On the other hand, the isotropic Heisenberg model retains the
isotropic nature for any impurity concentration. The critical concent
ration at the percolation threshold is obtained. The Neel temperature
and the magnitude of the coherent exchange constant are calculated as
a function of the impurity concentration.