The Heisenberg antiferromagnet on a triangular lattice: topological excitations

Details The Heisenberg antiferromagnet on a triangular lattice: topological excitations The Heisenberg antiferromagnet on a triangular lattice: topological excitations

1994-02-16

arxiv.org/abs/cond-mat/9402060v1

Physics

Condensed Matter

9 pages, revtex, preprint: ITP-UH 03/94

Scientific paper

10.1209/0295-5075/25/9/013

We study the topological defects in the classical Heisenberg antiferromagnet in two dimensions on a triangular lattice (HAFT). While the topological analysis of the order parameter space indicates that the defects are of $Z_2$ type, consideration of the energy leads us to a description of the low--energy stationary points of the action in terms of $\pm$ vortices, as in the planar XY model. Starting with the continuum description of the HAFT, we show analytically that its partition function can be reduced to that of a 2--dimensional Coulomb gas with logarithmic interaction. Thus, at low temperatures, the correlation length is determined by the spinwaves, while at higher temperatures we expect a crossover to a Kosterlitz--Thouless type behaviour. The results of recent Monte Carlo calculations of the correlation length are consistent with such a crossover.

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