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19 April 2024
 
  » arxiv » cond-mat/9807374

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Disorder-Induced Topological Defects in a d=2 Elastic Medium at Zero Temperature
A. Alan Middleton ;
Date 28 Jul 1998
Journal Physical Review B 61, 14787-14790 (2000)
Subject Disordered Systems and Neural Networks; Statistical Mechanics; Superconductivity | cond-mat.dis-nn cond-mat.stat-mech cond-mat.supr-con
AbstractThe density and correlations of topological defects are investigated numerically in a model of a d=2 elastic medium subject to a periodic quenched random potential. The computed density of defects decreases approximately exponentially with the defect core energy. Comparing the defect-free ground state with the ground state with defects, it is found that the difference is described by string-like excitations, bounded by defect pairs, which have a fractal dimension of 1.250(3). At zero temperature, the disorder-induced defects screen the interaction of introduced vortex pairs.
Source arXiv, cond-mat/9807374
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