Destruction of bulk ordering by surface randomness
arXiv:cond-mat/0205656 · doi:10.1103/PhysRevLett.89.227204
Abstract
We demonstrate that the arbitrarily weak quenched disorder on the surface of a system of continuous symmetry destroys long range order in the bulk, and, instead, quasi-long range order emerges. Correlation functions are calculated exactly for the two- and three-dimensional XY model with surface randomness via the functional renormalization group. Even at strong quenched disorder the three-dimensional XY model possesses topological order. We also determine roughness of a domain wall in the presence of surface disorder.
4 pages Revtex; Eq. (12) corrected
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