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Phys. Rev. B 75, 144504 (2007) [10 pages]

Derivation of the Ginzburg-Landau equations for a ferromagnetic p-wave superconductor

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E. K. Dahl1 and A. Sudbø1,2
1Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway
2Centre for Advanced Study at the Norwegian Academy of Science and Letters, Drammensveien 78, N-0271 Oslo, Norway

Received 6 September 2006; revised 18 December 2006; published 10 April 2007

We derive a Ginzburg-Landau free energy for a p-wave ferromagnetic superconductor. The starting point is a microscopic Hamiltonian including a spin generalized BCS term and a Heisenberg exchange term. We find that coexistence of magnetization and superconductivity depends on the sign of the energy gradient of the DOS at Fermi level. We also compute the tunneling contribution to the Ginzburg-Landau free energy, and find expressions for the spin currents and Josephson currents across a tunneling junction separating two ferromagnetic p-wave superconductors.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.144504
DOI:
10.1103/PhysRevB.75.144504
PACS:
74.20.De, 72.25.Mk, 74.50.+r, 74.20.−z