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

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

2006-09-14

arxiv.org/abs/cond-mat/0609334v1

Phys. Rev. B 75, 144504 (2007)

Physics

Condensed Matter

Superconductivity

11 pages, 20 references, no figures. Submitted to Phys Rev B

Scientific paper

10.1103/PhysRevB.75.144504

We derive a Ginzburg-Landau free energy for a p-wave ferromagnetic superconductor. The starting point is a microscopic Hamiltonian including a spin generalised BCS term and a Heisenberg exchange term. We find that coexistence of magnetisation 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.

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