Topological defects in the random-field XY model and the pinned vortex lattice to vortex glass transition in type-II superconductors

Michel J.P. Gingras, David A. Huse

Research output: Contribution to journalArticle

205 Scopus citations

Abstract

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 verify in Monte Carlo simulations that the average spacing between topological defects (vortices) diverges more strongly than the Imry-Ma pinning length as the random field strength H is reduced. We suggest that for d=3 the simulation data are consistent with a topological phase transition at a nonzero critical field (Formula presented) to a pinned phase that is defect free at large length scales. We also discuss the connection between the possible existence of this phase transition in the random-field XY model and the magnetic-field-driven transition from a pinned vortex lattice to a vortex glass in weakly disordered type-II superconductors.

Original languageEnglish (US)
Pages (from-to)15193-15200
Number of pages8
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume53
Issue number22
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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