Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice

Details Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice

2007-04-07

arxiv.org/abs/0704.0974v1

J. Phys. Soc. Jpn, 76, 073704-(1-4) (2007)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1143/JPSJ.76.073704

The ordering of the classical Heisenberg antiferromagnet on the triangular lattice with the the bilinear-biquadratic interaction is studied by Monte Carlo simulations. It is shown that the model exhibits a topological phase transition at a finite-temperature driven by topologically stable vortices, while the spin correlation length remains finite even at and below the transition point. The relevant vortices could be of three different types, depending on the value of the biquadratic coupling. Implications to recent experiments on the triangular antiferromagnet NiGa$_2$S$_4$ is discussed.

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