Duality Argument for the Chiral-Nematic Phase of Planar Spins

Details Duality Argument for the Chiral-Nematic Phase of Planar Spins Duality Argument for the Chiral-Nematic Phase of Planar Spins

2009-10-20

arxiv.org/abs/0910.3732v1

Journal of the Korean Physical Society, vol. 55 p1540 (2009)

Physics

Condensed Matter

Statistical Mechanics

Published version(4 pages, 2 figures)

Scientific paper

10.3938/jkps.55.1540

A duality argument for the recently discovered chiral-nematic phase of the XY model in a triangular lattice is presented. We show that a new Ising variable naturally emerges in mapping the antiferromagnetic J1-J2 classical XY spin Hamiltonian onto an appropriate Villain model on a triangular lattice. The new variable is the chirality degree of freedom, which exists in addition to the usual vortex variables, in the dual picture. Elementary excitations and the associated phase transition of the Ising degrees of freedom are discussed in some detail.

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