Hall Effect in the Vortex Lattice of d-Wave Superconductors with Anisotropic Fermi surfaces

TL;DR

This paper investigates how the Lorentz force influences charge distribution in the vortex lattice of d-wave superconductors with anisotropic Fermi surfaces, revealing strong magnetic field-dependent effects and sign reversals in vortex core charge.

Contribution

It introduces an augmented quasiclassical theory accounting for the Lorentz force to analyze charge profiles in anisotropic Fermi surface superconductors, highlighting novel magnetic field effects.

Findings

Charge distribution varies significantly with magnetic field.

Vortex core charge can reverse sign as field increases.

Anisotropic Fermi surfaces lead to effects not seen in isotropic models.

Abstract

On the basis of the augmented quasiclassical theory of superconductivity with the Lorentz force, we study the mag- netic field dependence of the charge distribution due to the Lorentz force in a d-wave vortex lattice with anisotropic Fermi surfaces. Owing to the competition between the energy-gap and Fermi surface anisotropies, the charge profile in the vortex lattice changes dramatically with increasing magnetic field because of the overlaps of each nearest vortex-core charge. In addition, the accumulated charge in the core region may reverse its sign as a function of magnetic field. This strong field dependence of the vortex-core charge cannot be observed in the model with an isotropic Fermi surface.