Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism

Details Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism Microscopic derivation of Ginzburg-Landau equations for coexistent states of superconductivity and magnetism

2011-02-16

arxiv.org/abs/1102.3329v3

Physics

Condensed Matter

Superconductivity

19 pages

Scientific paper

Ginzburg-Landau (GL) equations for coexistent states of superconductivity and magnetism are derived microscopically from the extended Hubbard model with on-site repulsive and nearest-neighbor attractive interactions. In the derived GL free energy the cubic term exists which couples spin-singlet and spin-triplet components of superconducting order parameters (SCOP) with magnetization. This term gives rise to a spin-triplet SCOP near the interface between a spin-singlet superconductor and a ferromagnet, consistent with previous theoretical studies based on the Bogoliubov de Gennes method and the quasiclassical Green's function theory. In coexistent states of singlet superconductivity and antiferromagnetism it leads to the occurrence of $\pi$-triplet SCOPs.

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