Hall conductance of a pinned vortex lattice in a high magnetic field

TL;DR

This paper calculates how the Hall conductance in a high magnetic field superconductor is affected by quasiparticles, showing it decreases as the superconducting order parameter increases, approaching zero at high values.

Contribution

It provides a detailed calculation of the quasiparticle contribution to Hall conductance in high magnetic field superconductors using the Landau basis, revealing a renormalization and a transition to zero conductance.

Findings

Hall conductance decreases entering the superconducting phase.

Quantum level-crossing transition affects conductance values.

Conductance tends to zero at high order parameter values.

Abstract

We calculate the quasiparticle contribution to the zero temperature Hall conductance of two-dimensional extreme type-II superconductors in a high magnetic field, using the Landau basis. As one enters the superconducting phase the Hall conductance is renormalized to smaller values, with respect to the normal state result, until a quantum level-crossing transition is reached. At high values of the order parameter, where the quasiparticles are bound to the vortex cores, the Hall conductance is expected to tend to zero due to a theorem of Thouless.