DC conductivity in an s-wave superconducting single vortex system

Abstract

We study dynamics of a two-dimensional s-wave superconductor in the presence of a moving single vortex. Our analysis is based on the quasiclassical theory including the Hall term, generalized by Kita[T. Kita, PRB, 64, 054503 (2001)]. We numerically calculate the linear response of a moving single vortex driven by a dc external current in a self-consistent way, in the sense that Dyson equation, gap equation, Maxwell equations and generalized quasiclassical equation are solved simultaneously. We obtain Hall conductivity induced by vortex motion using the generalized quasiclassical equation, while we confirm that it vanishes in the conventional quasiclassical equation.

7 pages, 4 figures

References in corpus (2)

• Scanning Tunneling Microscopy/Spectroscopy of Vortices in LiFeAs
• Quantum limiting behaviors of a vortex core in an anisotropic gap superconductor

Cited by in corpus (10)

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• Theory of the supercyclotron resonance and Hall response in anomalous 2d metals
• Large Hall angle of vortex motion in high-$T_c$ cuprate superconductors revealed by microwave flux-flow Hall effect
• Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor
• Charged and uncharged vortices in quasiclassical theory
• Charging in the vortex lattice of type-II superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors