Theory of fluctuations in a two-band superconductor

Abstract

A theory of fluctuations in two-band superconductor MgB${}_2$ is developed. Since the standard Ginzburg-Landau (GL) approach fails in description of its properties, we generalize it basing on the microscopic theory of a two-band superconductor. Calculating the microscopic fluctuation propagator, we build up the nonlocal two-band GL functional and the corresponding time-dependent GL equations. This allows us to calculate the main fluctuation observables such as fluctuation specific heat and conductivity.

arXiv comment11 pages, 2 figures, subm. to Phys. Rev. B

References in corpus (25)

• Superconductivity of metallic boron in MgB_2
• Beyond Eliashberg superconductivity in MgB2: anharmonicity, two-phonon scattering, and multiple gaps
• Superconductivity of MgB2: Covalent Bonds Driven Metallic
• Electron-phonon interaction in the normal and superconducting states of MgB2
• Giant anharmonicity and non-linear electron-phonon coupling in MgB${}_2$; A combined first-principles calculations and neutron scattering study
• First-Principles Calculation of the Superconducting Transition in MgB2 within the Anisotropic Eliashberg Formalism
• Two-gap superconductivity in MgB${}_2$: clean or dirty?
• Systematic effects of carbon doping on the superconducting properties of Mg(B${}_{1-x}$C${}_x$)${}_2$
• Specific heat of MgB${}_2$ in a one- and a two-band model from first-principles calculations
• Temperature and field dependence of the anisotropy of MgB2
• Vortex Imaging in the pi-Band of Magnesium Diboride
• High-field superconductivity in alloyed MgB2 thin films
• Band filling and interband scattering effects in MgB${}_2$: C vs Al doping
• Anisotropy of the Upper Critical Field and Critical Current in Single Crystal MgB${}_2$
• Anisotropic superconducting properties of MgB2 single crystals probed by in-plane electrical transport measurements
• Mixed state of a dirty two-band superconductor: application to MgB_2
• Upper critical field in dirty two-band superconductors: breakdown of the anisotropic Ginzburg-Landau theory
• The different development of the anisotropic upper critical field in MgB2 by aluminum and carbon doping
• Why magnesium diboride is not described by anisotropic Ginzburg-Landau theory
• Two-band Effects in the Angular Dependence of Hc2 of MgB2 Single Crystals
• The Magnetic-field Dependence of the Gaps in a Two-band Superconductor: A Point-contact Study of MgB_2 Single Crystals
• Anisotropic Superconducting Properties of MgB2 Single Crystals
• Pairing fluctuations in trapped Fermi gases
• Excess current in point contacts on two-band superconductor MgB${}_2$ in magnetic field
• Two-bands effect on the superconducting fluctuating diamagnetism in MgB&#8322

Cited by in corpus (18)

• Multiorbital effects on the transport and the superconducting fluctuations in LiFeAs
• Anomalous isotope effect near a 2.5 Lifshitz transition in a multi-band multi-condensate superconductor made of a superlattice of stripes
• Ground state, collective mode, phase soliton and vortex in multiband superconductors
• Vortex States and Phase Diagram of Multi-component Superconductors with Competing Repulsive and Attractive Vortex Interactions
• Theory of fluctuation conductivity from interband pairing in pnictide superconductors
• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Measurements of the superconducting fluctuations in optimally-doped BaFe${}_{2-x}$Ni${}_x$As${}_2$ under high magnetic fields: Probing the 3D anisotropic Ginzburg-Landau approach
• Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
• Fluctuations in two-band superconductors in a strong magnetic field
• Stability of the superconducting state in YBa_2Cu_3O_7
• Superconducting band stabilizing superconductivity in MgB2
• Application prospects of MgB${}_2$ in view of its basic properties
• Interplay of Fermi velocities and healing lengths in two-band superconductors
• Anisotropy of the superconducting fluctuations in multiband superconductors: the case of LiFeAs
• Transport anomalies in multiband superconductors near quantum critical point
• Shrinking of fluctuation region in a two-band superconductor
• Fluctuation conductivity in ultraclean multicomponent superconductors
• Microwave Signature of the Emerging Abrikosov Lattice Above $H_{c2}$