Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low Energy Excitations and Phase Transitions in the Frustrated
  Two-Dimensional XY Model   We study the critical properties of the two-dimensional (2D) XY model in a
transverse magnetic field with filling factors f=1/3 and 2/5. To obtain a
comparison with recent experiments, we investigate the effect of weak quenched
bond disorder for f=2/5. A finite-size scaling analysis of extensive Monte
Carlo simulations strongly suggests that the critical exponents of the phase
transition for f=1/3 and for f=2/5 with disorder are those of the pure 2D Ising
model. The relevant low energy excitations are domain walls, and we show that
their properties determine the nature of the phase transition.

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The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int