Ginzburg-Landau theory for multiband superconductors: microscopic derivation
arXiv:1304.4032 · doi:10.1103/PhysRevB.87.134510
Abstract
A procedure to derive the Ginzburg-Landau (GL) theory from the multiband BCS Hamiltonian is developed in a general case with an arbitrary number of bands and arbitrary interaction matrix. It combines the standard Gor'kov truncation and a subsequent reconstruction in order to match accuracies of the obtained terms. This reconstruction recovers the phenomenological GL theory as obtained from the Landau model of phase transitions but offers explicit microscopic expressions for the relevant parameters. Detailed calculations are presented for a three-band system treated as a prototype multiband superconductor. It is demonstrated that the symmetry in the coupling matrix may lead to the chiral ground state with the phase frustration, typical for systems with broken time-reversal symmetry.
9 pages
References in corpus (8)
- Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
- High-temperature superconductivity in iron-based materials
- Ginzburg-Landau theory of vortices in a multi-gap superconductor
- Chiral CP^2 skyrmions in three-band superconductors
- Visualizing landscapes of the superconducting gap in heterogeneous superconductor thin films: geometric influences on proximity effects
- Measurement of a Sign-Changing Two-Gap Superconducting Phase in Electron-Doped Ba(Fe_{1-x}Co_x)_2As_2 Single Crystals using Scanning Tunneling Spectroscopy
- Conditions for non-monotonic vortex interaction in two-band superconductors
- Giant vortices, vortex rings and reentrant behavior in type-1.5 superconductors
Cited by in corpus (8)
- Temperature dependence of lower critical field Hc1(T) shows nodeless superconductivity in FeSe
- Superconducting properties of sulfur-doped iron selenide
- Emergent phenomena in multicomponent superconductivity: an introduction to the focus issue
- Bound vortex states and exotic lattices in multi-component Bose-Einstein condensates: The role of vortex-vortex interaction
- Gauge Invariance and Spontaneous Symmetry Breaking in Two-Gap Superconductors
- In-plane magnetic field vs. temperature phase diagram of a quasi-2D frustrated multiband superconductor
- Anisotropy of the superconducting fluctuations in multiband superconductors: the case of LiFeAs
- Extended Uniform Ginzburg-Landau Theory for Novel Multiband Superconductors