Hall Coefficient of Equilibrium Supercurrents Flowing inside Superconductors

Abstract

We study augmented quasiclassical equations of superconductivity with the Lorentz force, which is missing from the standard Ginzburg-Landau and Eilenberger equations. It is shown that the magnetic Lorentz force on equilibrium supercurrents induces finite charge distribution and the resulting electric field to balance the Lorentz force. An analytic expression is obtained for the corresponding Hall coefficient of clean type-II superconductors with simultaneously incorporating the Fermi-surface and gap anisotropies. It has the same sign and magnitude at zero temperature as the normal state for an arbitrary pairing, having no temperature dependence specifically for the s-wave pairing. The gap anisotropy may bring a considerable temperature dependence in the Hall coefficient and can lead to its sign change as a function of temperature, as exemplified for a model d-wave pairing with a two-dimensional Fermi surface. The sign change may be observed in some high-$T_c$ superconductors.

7 pages, 3 figures

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Cited by in corpus (10)

• Hall Effect in the Abrikosov Lattice of Type-II Superconductors
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations
• Hall Effect in the Vortex Lattice of d-Wave Superconductors with Anisotropic Fermi surfaces
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Topological Hall Effect in Inhomogeneous Superconductors
• Approach to Solving Quasiclassical Equations with Gauge Invariance
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor
• Charging in the vortex lattice of type-II superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors