Alba, Vincenzo and Pelissetto, Andrea and Vicari, Ettore (2008) *The uniformly frustrated two-dimensional XY model in the limit of weak frustration.* Journal of Physics A: Mathematical and General, 41 . p. 175001. ISSN 1361-6447

## Abstract

We consider the two-dimensional uniformly frustrated XY model in the limit of small frustration, which is equivalent to an XY system, for instance a Josephson junction array, in a weak uniform magnetic field applied along a direction orthogonal to the lattice. We show that the uniform frustration (equivalently, the magnetic field) destabilizes the line of fixed points which characterize the critical behaviour of the XY model for T <= T_{KT}, where T_{KT} is the Kosterlitz-Thouless transition temperature: the system is paramagnetic at any temperature for sufficiently small frustration. We predict the critical behaviour of the correlation length and of gauge-invariant magnetic susceptibilities as the frustration goes to zero. These predictions are fully confirmed by the numerical simulations.

Item Type: | Article |
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Additional Information: | Imported from arXiv |

Subjects: | Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |

Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" |

Depositing User: | dott.ssa Sandra Faita |

Date Deposited: | 09 Apr 2015 16:02 |

Last Modified: | 09 Apr 2015 16:02 |

URI: | http://eprints.adm.unipi.it/id/eprint/1848 |

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