Is there a Glass Transition in Planar Vortex Systems?
arXiv:cond-mat/0212316 · doi:10.1103/PhysRevLett.90.185701
Abstract
The criteria for the existence of a glass transition in a planar vortex array with quenched disorder are studied. Applying a replica Bethe ansatz, we obtain for self-avoiding vortices the exact quenched average free energy and effective stiffness which is found to be in excellent agreement with recent numerical results for the related random bond dimer model [1]. Including a repulsive vortex interaction and a finite vortex persistence length ξ, we find that for ξ\to 0 the system is at {\em all} temperatures in a glassy phase; a glass transition exists only for finite ξ. Our results indicate that planar vortex arrays in superconducting films are glassy at presumably all temperatures.
4 pages, 1 figure
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