Abstract

The exchange mechanism effect on the ordering of electrons oneg orbitals in a two-dimensional Heisenberg model with exchange anisotropy for aS = 1/2 spin is determined. The regions of existence of long-range quasi-one- and two-dimensionalantiferromagnetic order with the special exchange topology are calculated by a quantumMonte Carlo method. The Nèel temperature and quantum reduction of spin on site for anantiferromagnet with the stripe structure is estimated as a function of exchange anisotropy.

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