PHASE TRANSITION IN AN ANISOTROPIC HEISENBERG ANTIFERROMAGNET IN TWO DIMENSIONS

1971 ◽  
Vol 32 (C1) ◽  
pp. C1-884-C1-886
Author(s):  
E. RASTELLI ◽  
L. REATTO
Keyword(s):  
Phase Transition ◽  
Two Dimensions ◽  
Heisenberg Antiferromagnet ◽  
Anisotropic Heisenberg Antiferromagnet

Zero-temperature properties of quantum spin systems in two dimensions

1990 ◽  
Vol 68 (12) ◽  
pp. 1410-1418 ◽  
Author(s):  
D. D. Betts ◽  
S. Miyashita
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Magnetic Phase ◽  
Finite Lattice ◽  
Two Dimensions ◽  
Quantum Spin ◽  
Spin Systems ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Quantum Spin Systems

We consider the zero-temperature properties of four different spin 1/2 models on two-dimensional lattices: the XY ferromagnet, the XY antiferromagnet, the Heisenberg antiferromagnet, and the Dzyaloshinsky–Moriya models. Most of this article is a review of previously published work, but a few previously unpublished results are included. The relation between three of the models on bipartite lattices is described. The properties of the XY ferromagnet in two dimensions, especially those derived from extrapolation of finite lattice results, are reviewed. A numerical factor by which spin-wave and finite-lattice estimates of the long-range order parameter differ is discussed. For frustrated models on the triangular lattice the possibility of a chirality phase transition instead of, or in addition to, a magnetic phase transition is considered.

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