Topological Defects in the Random-Field XY Model and Randomly Pinned Vortex Lattices

As a simplified model of randomly pinned vortex lattices or charge-density waves, we study the random-field XY model on square (\(d=2\)) and simple cubic (\(d=3\)) lattices. We argue, and confirm in simulations, that the spacing between topological defects (vortices) diverges more strongly than the...

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Bibliographic Details
Published in:arXiv.org 1995-02
Main Authors: Gingras, Michel J P, Huse, David A
Format: Article
Language:English
Subjects:
Charge density waves
Computer simulation
Defects
Field strength
Lattices
Phase transitions
Topology
Vortices
Online Access:Get full text
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Summary:As a simplified model of randomly pinned vortex lattices or charge-density waves, we study the random-field XY model on square (\(d=2\)) and simple cubic (\(d=3\)) lattices. We argue, and confirm in simulations, that the spacing between topological defects (vortices) diverges more strongly than the Imry-Ma pinning length as the random field strength, \(H\), is reduced. For \(d=3\) the data are consistent with a topological phase transition at a nonzero \(H_c\) to a vortex-free pinned phase.
ISSN:2331-8422
DOI:10.48550/arxiv.9502026