Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor

Abstract

We derive augmented quasiclassical equations of superconductivity with the Lorentz force in the Matsubara formalism so that the charge redistribution due to supercurrent can be calculated quantitatively. Using it, we obtain an analytic expression for the vortex-core charge of an isolated vortex in extreme type-II materials given in terms of the London penetration depth and the equilibrium Hall coefficient. It depends strongly on the Fermi surface curvature and gap anisotropy, and may change sign even as a function of temperature due to the variation in the excitation curvature under the growing energy gap. This is also confirmed in our numerical study of high-$T_{\mathrm{c}}$ superconductors.

9 pages, 7 figures

References in corpus (12)

• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Electrostatics of Vortices in Type II Superconductors
• Vortex structure in $d$-wave superconductors
• Charged Vortices in High Temperature Superconductors Probed by NMR
• Electromagnetic Response of a Vortex in Layered Superconductors
• Vortex Charges in High Temperature Superconductors
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Gauge Invariance and Hall Terms in the Quasiclassical Equations of Superconductivity
• Relation between Vortex core charge and Vortex Bound States
• Antiferromagnetism and charged vortices in high-Tc superconductors
• Hall Coefficient of Equilibrium Supercurrents Flowing inside Superconductors
• DC conductivity in an s-wave superconducting single vortex system

Cited by in corpus (12)

• Superconducting vortex-charge measurement using cavity electromechanics
• Hall Effect in the Abrikosov Lattice of Type-II Superconductors
• Hall Effect in the Vortex Lattice of d-Wave Superconductors with Anisotropic Fermi surfaces
• 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
• Vortex charge and impurity effects based on quasiclassical theory
• Vortex motion in tilted magnetic fields in highly layered electron-doped superconductor Nd2-xCexCuO4
• 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
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors