Exact calculation of the vortex-antivortex interaction energy in the anisotropic three-dimensional XY model

Mahn-Soo Choi, Sung I. Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We have developed an exact method to calculate the vortex-antivortex interaction energy in the anisotropic three-dimensional (3D) XY model. For this calculation, dual transformation, which is already known for the 2D XY model, was extended. We found an explicit form of this interaction energy as a function of the anisotropic ratio and the separation r between the vortex and antivortex located on the same layer. The form of the interaction energy is ln r at the small r limit but is proportional to r at the opposite limit. This form of interaction energy is consistent with the upper-bound calculation using the variational method by Cataudella and Minnhagen.

Original languageEnglish
Pages (from-to)6680-6685
Number of pages6
JournalPhysical Review B
Volume51
Issue number10
DOIs
Publication statusPublished - 1995 Dec 1
Externally publishedYes

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three dimensional models
Vortex flow
vortices
interactions
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Exact calculation of the vortex-antivortex interaction energy in the anisotropic three-dimensional XY model. / Choi, Mahn-Soo; Lee, Sung I.

In: Physical Review B, Vol. 51, No. 10, 01.12.1995, p. 6680-6685.

Research output: Contribution to journalArticle

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