Transport Properties of d-Wave Superconductors in the Vortex State

TL;DR

This paper investigates how magnetic fields influence quasiparticle transport in d-wave superconductors' vortex state, highlighting the role of Doppler shifts and scattering effects, with results aligning with experimental observations.

Contribution

It provides a theoretical analysis of magnetic field effects on quasiparticle transport in d-wave superconductors, incorporating Doppler shifts and scattering phase shift dependencies.

Findings

Qualitative agreement with experiments on cuprate and heavy fermion superconductors.

Derivation of scaling relations in the variable T/H^{1/2} at low temperatures and fields.

Dependence of scaling relations on scattering phase shift and quasiparticle relaxation time.

Abstract

We calculate the magnetic field dependence of quasiparticle transport properties in the vortex state of a d-wave superconductor arising solely from the quasiparticle's Doppler shift in the superflow field surrounding the vortex. Qualitative features agree well with experiments on cuprate and heavy fermion superconductors at low fields and temperatures. We derive scaling relations in the variable $T/H^{1/2}$ valid at sufficiently low temperatures $T$ and fields $H$, but show that these relations depend on the scattering phase shift, and are in general fulfilled only approximately even in the clean limit, due to the energy dependence of the quasiparticle relaxation time.