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

1995/02/06 by Michel J. P. Gingras, David A. Huse · 2 citations
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1103/physrevb.53.15193

published as Phys. Rev. B {53}, 15193 (1996) · uuencoded Postscript file; encluded embeded 3 figures.

arxiv created 1995/02/06 · arxiv updated 2015/04/07

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 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.

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