Ginzburg-Landau theory for multiband superconductors: microscopic derivation

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 (27)

• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• High-temperature superconductivity in iron-based materials
• Enhancement of the upper critical field by nonmagnetic impurities in dirty two-gap superconductors
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent systems
• Three-band superconductivity and the order parameter that breaks time-reversal symmetry
• Upper critical field in dirty two-band superconductors: breakdown of the anisotropic Ginzburg-Landau theory
• Topological solitons in three-band superconductors with broken time reversal symmetry
• Conventional mechanisms for "exotic" superconductivity
• Type-1.5 Superconducting State from an Intrinsic Proximity Effect in Two-Band Superconductors
• Chiral CP^2 skyrmions in three-band superconductors
• Vortex matter in mesoscopic two-gap superconducting disks: influence of Josephson and magnetic coupling
• Extended Ginzburg-Landau formalism for two-band superconductors
• Length scales, collective modes, and type-1.5 regimes in three-band superconductors
• Broken time-reversal symmetry in Josephson junction involving two-band superconductors
• Is the term "type-1.5 superconductivity" warranted by Ginzburg-Landau theory?
• Visualizing landscapes of the superconducting gap in heterogeneous superconductor thin films: geometric influences on proximity effects
• Magnetic field delocalization and flux inversion in fractional vortices in two-component superconductors
• Vortices and chirality in multi-band superconductors
• 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
• Two-band superconductors: Extended Ginzburg-Landau formalism by a systematic expansion in small deviation from the critical temperature
• Conditions for non-monotonic vortex interaction in two-band superconductors
• Stable fractional flux vortices and unconventional magnetic state in two-component superconductors
• Extended Ginzburg-Landau formalism: systematic expansion in small deviation from the critical temperature
• Giant vortices, vortex rings and reentrant behavior in type-1.5 superconductors
• Vortex States and Phase Diagram of Multi-component Superconductors with Competing Repulsive and Attractive Vortex Interactions
• Role of confined phonons in thin film superconductivity

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• Extension of the Ginzburg - Landau approach for ultracold Fermi gases below a critical temperature
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• In-plane magnetic field vs. temperature phase diagram of a quasi-2D frustrated multiband superconductor
• Extended Uniform Ginzburg-Landau Theory for Novel Multiband Superconductors
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