Phys. Rev. Lett. 89, 227204 (2002) [4 pages]Destruction of Bulk Ordering by Surface RandomnessReceived 18 June 2002; published 12 November 2002 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 models 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.227204
DOI:
10.1103/PhysRevLett.89.227204
PACS:
75.10.Nr, 05.50.+q, 64.60.Ak, 74.60.Ge
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