## 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 |

Externally published | Yes |

## ASJC Scopus subject areas

- Condensed Matter Physics