Quasiparticle transport in the vortex state of d-wave superconductors

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 an explicit form of the scaling functions, and beyond this region. We derive a universal frequency-dependent scaling relation for the Raman intensity, and discuss the breakdown of the single relaxation rate approach to the NMR response. [S0163-1829(99)09401-1].