Journal of Physics A Mathematical and General

Vortices in the two-dimensional s=1/2XY model

Donald D. Betts, F. C. Salevsky, Jos Rogiers

Published Feb 1, 1981• 18 citations

Abstract

Operators are derived for the vortex density and the vortex-antivortex pair density of s= 1 / 2 models on the square and triangular lattices. At T=0 the finite-lattice method estimates of the number of vortices and antivortices per plaquette for the XY model are 0.025+or-0.002 for the square lattice and 0.052+or-0.008 for the triangular lattice. High-temperature series expansions on the triangular lattice allow the vortex and pair densities of the XY model to be plotted against inverse temperature.

DOI: 10.1088/0305-4470/14/2/028

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