Bogomolnyi-type bounds in unconventional superconductors without external magnetic fields

Details Bogomolnyi-type bounds in unconventional superconductors without external magnetic fields Bogomolnyi-type bounds in unconventional superconductors without external magnetic fields

1996-04-18

arxiv.org/abs/cond-mat/9604119v1

Physics

Condensed Matter

9 pages, Revtex, no figures, submitted to Solid State Communications

Scientific paper

10.1016/0038-1098(96)00210-4

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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