### 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 language | English |
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Pages (from-to) | 6680-6685 |

Number of pages | 6 |

Journal | Physical Review B |

Volume | 51 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1995 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*51*(10), 6680-6685. https://doi.org/10.1103/PhysRevB.51.6680

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

Research output: Contribution to journal › Article

*Physical Review B*, vol. 51, no. 10, pp. 6680-6685. https://doi.org/10.1103/PhysRevB.51.6680

}

TY - JOUR

T1 - Exact calculation of the vortex-antivortex interaction energy in the anisotropic three-dimensional XY model

AU - Choi, Mahn-Soo

AU - Lee, Sung I.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=1342272000&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1342272000&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.51.6680

DO - 10.1103/PhysRevB.51.6680

M3 - Article

VL - 51

SP - 6680

EP - 6685

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 10

ER -