Helicity modulus and vortex density in the two-dimensional easy-plane Heisenberg model on a square lattice

Kyu Won Lee; Cheol Eui Lee; In Mook Kim

doi:10.1016/j.ssc.2005.03.054

Helicity modulus and vortex density in the two-dimensional easy-plane Heisenberg model on a square lattice

Kyu Won Lee, Cheol Eui Lee, In Mook Kim

Department of Physics

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

We have studied the two-dimensional easy-plane Heisenberg model by using a Monte Carlo simulation. The helicity modulus and the vortex density were calculated. The Kosterlitz-Thouless transition temperature obtained from the helicity modulus was consistent with previous results obtained using different methods. The energy required to create a bound pair of vortices shows an anisotropy dependence similar to that of the Kosterlitz-Thouless transition temperature.

Original language	English
Pages (from-to)	95-98
Number of pages	4
Journal	Solid State Communications
Volume	135
Issue number	1-2
DOIs	https://doi.org/10.1016/j.ssc.2005.03.054
Publication status	Published - 2005 Jul 1

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Keywords

D. Phase transitions

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics

Cite this

Lee, K. W., Lee, C. E., & Kim, I. M. (2005). Helicity modulus and vortex density in the two-dimensional easy-plane Heisenberg model on a square lattice. Solid State Communications, 135(1-2), 95-98. https://doi.org/10.1016/j.ssc.2005.03.054

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AB - We have studied the two-dimensional easy-plane Heisenberg model by using a Monte Carlo simulation. The helicity modulus and the vortex density were calculated. The Kosterlitz-Thouless transition temperature obtained from the helicity modulus was consistent with previous results obtained using different methods. The energy required to create a bound pair of vortices shows an anisotropy dependence similar to that of the Kosterlitz-Thouless transition temperature.

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Access to Document

10.1016/j.ssc.2005.03.054