Effective Ginzburg-Landau free energy functional for multi-band isotropic superconductors

Abstract

It has been shown that interband mixing of gradients of two order parameters (drag effect) in an isotropic bulk two-band superconductor plays important role - such a quantity of the intergradients coupling exists that the two-band superconductor is characterized with a single coherence length and a single Ginzburg-Landau (GL) parameter. Other quantities or neglecting of the drag effect lead to existence of two coherence lengths and dynamical instability due to violation of the phase relations between the order parameters. Thus so-called type-1.5 superconductors are impossible. An approximate method for solving of set of GL equations for a multi-band superconductor has been developed: using the result about the drag effect it has been shown that the free-energy functional for a multi-band superconductor can be reduced to the GL functional for an effective single-band superconductor.

arXiv admin note: text overlap with arXiv:1007.1107 by other authors

References in corpus (19)

• Type-1.5 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
• Limits of the upper critical field in dirty two-gap superconductors
• On the Ginzburg-Landau Analysis of the Upper Critical Field Hc2 in MgB2
• Magnetoresistivity and Complete $H_{c2}(T)$ in $Mg{B}_2$
• Type-1.5 superconductivity in multiband systems: the effects of interband couplings
• Type-1.5 Superconducting State from an Intrinsic Proximity Effect in Two-Band Superconductors
• Intrinsic Josephson effect and nonequilibrium soliton structures in two-gap superconductors
• Effective action approach to the Leggett's mode in two-band superconductors
• Is the term "type-1.5 superconductivity" warranted by Ginzburg-Landau theory?
• Interband superconductivity: contrasts between BCS and Eliashberg theory
• Scanning SQUID microscopy of vortex clusters in multiband superconductors
• Phenomenological Theory of Superconductivity and Magnetism in Ho${}_{1-x}$Dy${}_x$Ni${}_2$B${}_2$C
• The proximity effect in normal metal - multiband superconductor hybrid structures
• Interface energy of two band superconductors
• Critical and non-critical coherence lengths in a two-band superconductor
• Coherence lengths for superconductivity in the two-orbital negative-U Hubbard model
• Interorbital pair scattering in clean and impure superconductors

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• Atomic-scale Frustrated Josephson Coupling and Multi-condensate Visualization in FeSe
• Optically active Higgs and Leggett modes in multiband pair-density-wave superconductors with Lifshitz invariant
• The study on penetration depth of anisotropic two-band s-wave superconductors by Ginzburg-Landau approach
• Amplitude, phase, and topological fluctuations shaping the complex phase diagram of two-dimensional superconductors
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• Collective excitations in three-band superconductors