2007/12/03 by Vincenzo Alba, Andrea Pelissetto, Ettore Vicari
Materials Science · Physics and Astronomy · #Classical XY model #Field (mathematics) #Frustration #Josephson effect #Limit (mathematics) #Line (geometry) #Magnetic field #Organic and Molecular Conductors Research #Paramagnetism #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8113/41/17/175001
published as J. Phys. A 41 (2008) 175001 · 12 pages
arxiv created 2007/12/03 · openalex publication_date 2008/04/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 behavior of the XY model for T ≤ TKT, where TKT is the Kosterlitz-Thouless transition temperature: the system is paramagnetic at any temperature for sufficiently small frustration. We predict the critical behavior 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. © 2008 IOP Publishing Ltd.