Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Destruction of bulk ordering by surface randomness   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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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an