The European Physical Journal B

, Volume 62, Issue 2, pp 147–154 | Cite as

Uniaxially anisotropic antiferromagnets in a field on a square lattice

  • M. Holtschneider
  • W. Selke
Mathematical Structures in Statistical and Condensed Matter Physics


Classical uniaxially anisotropic Heisenberg and XY antiferromagnets in a field along the easy axis on a square lattice are analysed, applying ground state considerations and Monte Carlo techniques. The models are known to display antiferromagnetic and spin-flop phases. In the Heisenberg case, a single-ion anisotropy is added to the XXZ antiferromagnet, enhancing or competing with the uniaxial exchange anisotropy. Its effect on the stability of non-collinear structures of biconical type is studied. In the case of the anisotropic XY antiferromagnet, the transition region between the antiferromagnetic and spin-flop phases is found to be dominated by degenerate bidirectional fluctuations. The phase diagram is observed to resemble closely that of the XXZ antiferromagnet without single-ion anisotropy.


68.35.Rh Phase transitions and critical phenomena 75.10.Hk Classical spin models 05.10.Ln Monte Carlo methods 


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© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikAachenGermany

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