Destruction of bulk ordering by surface randomness
Disordered Systems and Neural Networks
2009-11-07 v2 Soft Condensed Matter
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.
Cite
@article{arxiv.cond-mat/0205656,
title = {Destruction of bulk ordering by surface randomness},
author = {D. E. Feldman and V. M. Vinokur},
journal= {arXiv preprint arXiv:cond-mat/0205656},
year = {2009}
}
Comments
4 pages Revtex; Eq. (12) corrected