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Is there a Glass Transition in Planar Vortex Systems?

Thorsten Emig·Simon Bogner
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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.

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Thorsten Emig, Simon Bogner. 2002-12-13. Is there a Glass Transition in Planar Vortex Systems?. https://doi.org/10.1103/physrevlett.90.185701

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