Quasiparticle transport in the vortex state of d-wave superconductors

TL;DR

This paper investigates how magnetic field and temperature influence quasiparticle transport in the vortex state of d-wave superconductors, providing universal scaling relations and analyzing the limitations of existing models.

Contribution

It introduces a universal frequency-dependent scaling relation for the Raman response and examines the breakdown of the single relaxation rate approximation for NMR response.

Findings

Scaling with $TH^{-1/2}$ at low temperatures

Explicit form of the scaling functions for Raman response

Breakdown of the single relaxation rate approach in NMR

Abstract

We calculate the magnetic field and temperature dependence of the Raman response, superfluid density and the NMR relaxation rate in the vortex state of a d-wave superconductor arising from the Doppler energy shift of extended quasiparticle states. Our results are valid both at low temperatures, where we observe scaling with variable $TH^{-1/2}$ and obtain explicit form of the scaling functions, and beyond this region. We derive a universal frequency dependent scaling relation for the Raman response, and discuss the breakdown of the single relaxation rate approach to NMR response.