Replica Symmetry Breaking Instability in the 2D XY model in a random field

Physics – Condensed Matter

Scientific paper

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8 pages, REVTeX, LPTENS-94/27

Scientific paper

10.1103/PhysRevLett.74.606

We study the 2D vortex-free XY model in a random field, a model for randomly pinned flux lines in a plane. We construct controlled RG recursion relations which allow for replica symmetry breaking (RSB). The fixed point previously found by Cardy and Ostlund in the glass phase $T

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