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Annals of the Israel Physical Society

On the ground state of the XY magnet and Heisenberg antiferromagnet in two dimensions

Donald D. Betts, J. Oitmaa

Published Jan 1, 1978• 0 citations
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arXiv:cond-mat/0403335•Journal of the Physical Society of Japan•Jul 15, 2004•29 citations
The selection of the ground state among nearly degenerate states due to quantum fluctuations is studied for the S=1/2 XY-like Heisenberg antiferromagnets on the triangular lattice in the magnetic field applied along the hard axis, which was first pointed out by Nikuni and Shiba. We find that the selected ground state sensitively depends on the degree of the anisotropy and the magnitude of the magnetic field. This dependence is similar to that in the corresponding classical model at finite temperatures where various types of field induced phases appear due to the entropy effect. It is also found that the similarity of the selected states in the classical and quantum models are not the case in a two-leg ladder lattice, although the lattice consists of triangles locally and the ground state of this lattice in the classical case is the same as that of the triangular lattice.