Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bogomolnyi-type bounds in unconventional superconductors without
  external magnetic fields   Following Bogomolnyi's classical treatment of vortices, we develop a method
for finding rigorous lower bounds to the Landau-Ginzburg free energy describing
unconventional superconductors in the absence of external magnetic fields. This
allows a more precise description of the magnetic instabilities previously
considered in these systems. In particular, we derive new sufficient conditions
for the stability of both the homogeneous and inhomogeneous equilibrium states.

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The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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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: hep-lat
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The categories of this paper are: physics
2
The categories of this paper are: math
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int