Phase transitions in anisotropic classical Heisenberg ferromagnets |
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| Authors: | Alfred B. Bortz Robert B. Griffiths |
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| Affiliation: | (1) Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania, USA;(2) Present address: Bowling Green State University, Firelands Campus, 44839 Huron, Ohio, USA |
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| Abstract: | The method of Peierls is used to prove the existence of a spontaneous magnetization for a spin system with nearest-neighbor interactions and Hamiltonian![$$H = - J sumlimits_{leftlangle {ij} rightrangle } { [S_i^z S_j^z + alpha (S_i^x S_j^x + S_i^y S_i^y )], S_i } $$](/content/g28328u417233434/220_2005_Article_BF01645697_TeX2GIFIE1.gif) a (classical) unit vector at thei'th site, with | |<0.0298 and 0.0198 for a square lattice and simple cubic lattice, respectively.Research supported by the National Science Foundation Grant No. GP 11454. |
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