Quasiparticle transport in the vortex state of d-wave superconductors

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 $T{H}^{-1/2}$ 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.

4pages, 3 PostScript figures

References in corpus (8)

• Nonlocal Effects on the Magnetic Penetration Depth in d-wave Superconductors
• Transport Properties of d-Wave Superconductors in the Vortex State
• Vortex Contribution to Specific Heat of Dirty $d$-Wave Superconductors: Breakdown of Scaling
• Fermionic entropy of the vortex state in d-wave superconductors
• Muon spin rotation measurement of the fundamental length scales in the vortex state of YBa2Cu3O6.60
• Low Temperature Behavior of the Vortex Lattice in Unconventional Superconductors
• Comment on "Scaling of the quasiparticle spectrum for d-wave superconductors"
• Nonmonotonous Magnetic Field Dependence and Scaling of the Thermal Conductivity for Superconductors with Nodes of the Order Parameter

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• Quasiparticle thermal conductivity in the vortex state of high-T${}_c$ cuprates
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• Possible f-wave superconductivity in Sr${}_2$RuO${}_4$?
• Expansion of the Vortex Cores in YBa2Cu3O6.95 at Low Magnetic Fields
• Theory of NMR as a local probe for the electronic structure in the mixed state of the high-$T_c$ cuprates
• Reduction of the Superfluid Density in the Vortex-Liquid Phase of Bi2Sr2CaCu2Oy
• Evidence for competition between the superconducting and the pseudogap state in (BiPb)_2(SrLa)_2CuO_{6+δ} from muon-spin rotation experiments
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• Coherency of the superconducting state: the muon spin rotation and ARPES studies of (BiPb)_2(SrLa)_2CuO_{6+δ}
• Superfluid density and competing orders in d-wave superconductors
• Field Dependent Superfluid Density in the Optimally Doped SmFeAsO_(1-x)F_y Superconductor
• Low temperature superfluid stiffness of d-wave superconductor in a magnetic field
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