Destruction of bulk ordering by surface randomness

D. E. Feldman; V. M. Vinokur

doi:10.1103/physrevlett.89.227204

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arXiv · cond-mat/0205656

Destruction of bulk ordering by surface randomness

D. E. Feldman·V. M. Vinokur

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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.

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BibTeX RIS

D. E. Feldman, V. M. Vinokur. 2002-06-18. Destruction of bulk ordering by surface randomness. https://doi.org/10.1103/physrevlett.89.227204

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