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

Abstract

Ginzburg-Landau (GL) equations for the 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 a cubic term that couples the spin-singlet and spin-triplet components of superconducting order parameters (SCOP) with magnetization exists. 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.

18 pages

References in corpus (4)

• Spontaneous spin current due to triplet superconductor--ferromagnet interfaces
• Origin and control of spin currents in a magnetic triplet Josephson junction
• Derivation of the Ginzburg-Landau equations of a ferromagnetic p-wave superconductor
• Novel Superconducting Phases in Copper Oxides and Iron-oxypnictides: NMR Studies

Cited by in corpus (6)

• Magnetic Intragap States and Mixed Parity Pairing at the Edge of Spin-Triplet Superconductors
• Induced spin-triplet pairing in the coexistence state of antiferromagnetism and singlet superconductivity: collective modes and microscopic properties
• Control of magnetism in singlet-triplet superconducting heterostructures
• Ginzburg-Landau Equations for Coexistent States of Superconductivity and Antiferromagnetism in t-J model
• Ginzburg-Landau Theory for Flux Phase and Superconductivity in $t-J$ Model
• Microscopic derivation of the Ginzburg-Landau equations for the periodic Anderson model in the coexistence phase of superconductivity and antiferromagnetism