Is there a Glass Transition in Planar Vortex Systems?
Disordered Systems and Neural Networks
2009-11-07 v1 Superconductivity
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 \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.
Cite
@article{arxiv.cond-mat/0212316,
title = {Is there a Glass Transition in Planar Vortex Systems?},
author = {Thorsten Emig and Simon Bogner},
journal= {arXiv preprint arXiv:cond-mat/0212316},
year = {2009}
}
Comments
4 pages, 1 figure