Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crossover behaviors in liquid region of vortex states above a critical
  point caused by point defects   Vortex states in high-$T_{\rm c}$ superconductors with point defects are
studied by large-scale Monte Carlo simulations of the three-dimensional
frustrated XY model. A critical point is observed on the first-order phase
boundary between the vortex slush and vortex liquid phases. A step-like anomaly
of the specific heat is detected in simulations of finite systems, similar to
an experimental observation [F.~Bouquet {\it et al.}, Nature (London) {\bf
411}, 448 (2001)]. However, it diminishes with increasing system size, and the
number and size distribution of thermally-excited vortex loops show continuous
behaviors around this anomaly. Therefore, the present study suggests a
crossover rather than a thermodynamic phase transition above the critical
point.

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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: math-ph
16
The categories of this paper are: stat
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys