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 › peer-review

13 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

Keywords

D. Phase transitions

ASJC Scopus subject areas

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2005.03.054

Cite this

@article{a0a850e1817f410cbe64db9e4e5454b9,

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

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.",

keywords = "D. Phase transitions",

author = "Lee, {Kyu Won} and Lee, {Cheol Eui} and Kim, {In Mook}",

note = "Funding Information: This work was supported by the KISTEP (National Research Laboratory and M102KS010001-02K1901-01814) and by the Korea Research Foundation (Brain Korea 21 Project in 2004 and Grant No. KRF-2004-005-C00060).",

year = "2005",

month = jul,

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language = "English",

volume = "135",

pages = "95--98",

journal = "Solid State Communications",

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T1 - Helicity modulus and vortex density in the two-dimensional easy-plane Heisenberg model on a square lattice

AU - Lee, Kyu Won

AU - Lee, Cheol Eui

AU - Kim, In Mook

N1 - Funding Information: This work was supported by the KISTEP (National Research Laboratory and M102KS010001-02K1901-01814) and by the Korea Research Foundation (Brain Korea 21 Project in 2004 and Grant No. KRF-2004-005-C00060).

PY - 2005/7

Y1 - 2005/7

N2 - 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.

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.

KW - D. Phase transitions

UR - http://www.scopus.com/inward/record.url?scp=19144373168&partnerID=8YFLogxK

U2 - 10.1016/j.ssc.2005.03.054

DO - 10.1016/j.ssc.2005.03.054

M3 - Article

AN - SCOPUS:19144373168

VL - 135

SP - 95

EP - 98

JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

IS - 1-2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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