Is there a Glass Transition in Planar Vortex Systems?

Details Is there a Glass Transition in Planar Vortex Systems? Is there a Glass Transition in Planar Vortex Systems?

2002-12-13

arxiv.org/abs/cond-mat/0212316v1

Phys. Rev. Lett. 90, 185701 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.90.185701

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 \xi, we find that for \xi \to 0 the system is at {\em all} temperatures in a glassy phase; a glass transition exists only for finite \xi. Our results indicate that planar vortex arrays in superconducting films are glassy at presumably all temperatures.

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