Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex Interactions and Thermally Induced Crossover from Type-I to
  Type-II Superconductivity   We have computed the effective interaction between vortices in the
Ginzburg-Landau model from large-scale Monte-Carlo simulations, taking thermal
fluctuations of matter fields and gauge fields fully into account close to the
critical temperature. We find a change, in the form of a crossover, from
attractive to repulsive effective vortex interactions in an intermediate range
of Ginzburg-Landau parameters $\kappa \in [0.76-1]/\sqrt{2}$ upon increasing
the temperature in the superconducting state. This corresponds to a thermally
induced crossover from \typeI to \typeII superconductivity around a temperature
$T_{\rm{Cr}}(\kappa)$, which we map out in the vicinity of the
metal-to-superconductor transition. In order to see this crossover, it is
essential to include amplitude fluctuations of the matter field, in addition to
phase-fluctuations and gauge-field fluctuations. We present a simple physical
picture of the crossover, and relate it to observations in \metal{Ta} and
\metal{Nb} elemental superconductors which have low-temperature values of
$\kappa$ in the relevant range.

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The categories of this paper are: nlin
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The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th