Transport Properties of d-Wave Superconductors in the Vortex State

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.

5 pages, 2 Postscript figures

References in corpus (1)

• Vortex Contribution to Specific Heat of Dirty $d$-Wave Superconductors: Breakdown of Scaling

Cited by in corpus (102)

• Gap symmetry and structure of Fe-based superconductors
• Superconducting phases of f-electron compounds
• Angular Position of Nodes in the Superconducting Gap of Quasi-2D Heavy-Fermion Superconductor CeCoIn_5
• Multiple Superconducting Phases in New Heavy Fermion Superconductor PrOs4Sb12
• Superconducting Gap Structure of Spin-Triplet Superconductor Sr_2RuO_4 Studied by Thermal Conductivity
• Superconducting Gap Structure of kappa-(BEDT-TTF)2Cu(NCS)2 Probed by Thermal Conductivity Tensor
• Gap Function with Point Nodes in Borocarbide Superconductor YNi_2B_2C
• Line nodes in the superconducting gap function of noncentrosymmetric CePt_3Si
• Universal heat conduction in the iron-arsenide superconductor KFe2As2 : Evidence of a d-wave state
• Nodal Structure of Unconventional Superconductors Probed by the Angle Resolved Thermal Transport Measurements
• Anisotropic thermodynamics of d-wave superconductors in the vortex state
• Nodes in the gap structure of the iron-arsenide superconductor Ba(Fe_{1-x}Co_x)_2As_2 from c-axis heat transport measurements
• Magnetoelectric effects in heavy-fermion superconductors without inversion symmetry
• Multiband superconductivity in the heavy fermion compound PrOs4Sb12
• Quasiparticle transport in the vortex state of YBa_2Cu_3O_6.9
• Quasiparticle Heat Transport in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$: Evidence for a k-dependent Superconducting Gap without Nodes
• Anisotropy of magnetothermal conductivity in Sr2RuO4
• Heat Conduction in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Highly Anisotropic Gap Function in Borocarbide Superconductor LuNi_2B_2C
• Heat transport as a probe of superconducting gap structure
• Nodal gap structure of BaFe_2(As_{1-x}P_x)_2 from angle-resolved thermal conductivity in a magnetic field
• Nodal structure of quasi-2D superconductors probed by magnetic field
• Quasiparticle thermal conductivity in the vortex state of high-T${}_c$ cuprates
• Evidence for field-induced excitations in low-temperature thermal conductivity of Bi_2Sr_2CaCu_2O_8
• Anomalous quasiparticle transport in the superconducting state of CeCoIn5
• Muon spin rotation studies of electronic excitations and magnetism in the vortex cores of superconductors
• The Dependence of the Superconducting Transition Temperature of Organic Molecular Crystals on Intrinsically Non-Magnetic Disorder: a Signature of either Unconventional Superconductivity or Novel Local Magnetic Moment Formation
• Effective "Penetration Depth" in the Vortex State of a d-wave Superconductor
• Mixed-state quasiparticle transport in high-T_c cuprates: localization by magnetic field
• From d-wave to s-wave pairing in the iron-pnictide superconductor (Ba,K)Fe2As2
• Possible f-wave superconductivity in Sr${}_2$RuO${}_4$?
• Unconventional superconductors under rotating magnetic field I: density of states and specific heat
• Electronic specific heat and low energy quasiparticle excitations in superconducting state of $L{a}_{2-x}S{r}_{x}Cu{O}_4$ single crystals
• The Origin of Anomalous Low-Temperature Downturns in the Thermal Conductivity of Cuprates
• Magnetic-Field-Induced Localization of Quasiparticles in Underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
• Superconducting Gap Function in Antiferromagnetic Heavy-Fermion UPd_2Al_3 Probed by Angle Resolved Magnetothermal Transport Measurements
• Thermal Conductivity of the Pyrochlore Superconductor KOs2O6: Strong Electron Correlations and Fully Gapped Superconductivity
• Thermodynamics of d-wave superconductors in a magnetic field
• Temperature- and magnetic-field-dependent thermal conductivity of pure and Zn-doped Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} single crystals
• Quantum Phase Transitions in a Cuprate Superconductor Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ}
• Quasiparticle thermal Hall angle and magnetoconductance in YBa_2Cu_3O_x
• Unconventional superconductors under rotating magnetic field II: thermal transport
• Weak localization of disordered quasiparticles in the mixed superconducting state
• Field-Induced Thermal Metal-to-Insulator Transition in Underdoped LSCO
• Transport in Ultraclean YBa${}_2$Cu${}_3$O${}_7$: neither Unitary nor Born Impurity Scattering
• Doping dependence of the superconducting gap in Tl_2Ba_2CuO_{6+delta} from heat transport
• Theory of thermal conductivity in extended-$s$ state superconductors: application to ferropnictides
• Heat transport in Bi_{2+x}Sr_{2-x}CuO_{6+δ}: departure from the Wiedemann-Franz law in the vicinity of the metal-insulator transition
• Isotropic three-dimensional gap in the iron-arsenide superconductor LiFeAs from directional heat transport measurements
• Magnetic Field Induced Gap and Kink Behavior of Thermal Conductivity
• Random magnetic field and quasi-particle transports in the mixed state of high T_{c} cuprates
• Supercurrent in Nodal Superconductors
• Novel anisotropy in the superconducting gap structure of Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} probed by quasiparticle heat transport
• Quasiparticle transport in the vortex state of d-wave superconductors
• Reduction of the Superfluid Density in the Vortex-Liquid Phase of Bi2Sr2CaCu2Oy
• Free flux flow resistivity in strongly overdoped high-T_c cuprate; purely viscous motion of the vortices in semiclassical d-wave superconductor
• Spin-lattice relaxation in the mixed state of YBaCuO: Can we see Doppler-shifted d-wave quasiparticles?
• Nonlinear response and scaling law in the vortex state of d-wave superconductors
• Thermal Conductivity Tensor in YBa${}_2$Cu${}_3$O${}_{7-x}$: Effects of a Planar Magnetic Field
• Quasiparticle spectra in the vicinity of a d-wave vortex
• Quantum generated vortices, dual singular gauge transformation and zero temperature transition from d-wave superconductor to underdoped regime
• Transport properties of 3D extended s-wave states in Fe-based superconductors
• Thermal conductivity and competing orders in d-wave superconductors
• Thermal Conductivity near H_c2 for spin-triplet superconducting States with line nodes in Sr_2RuO_4
• Field-angle-resolved anisotropy in superconducting CeCoIn5 using realistic Fermi surfaces
• Dirac quasiparticles in the mixed state
• Quasiparticle spectrum in the vortex state of d-wave superconductors
• Interlayer Quasiparticle Transport in the Vortex State of Josephson Coupled Superconductors
• Inversion of specific heat oscillations with in-plane magnetic field angle in 2D d-wave superconductors
• High-Tc Cuprate Superconductivity in a Nutshell
• Theory of Scanning Tunneling Spectroscopy of Magnetic-Field-Induced Discrete Nodal States in a D-Wave Superconductor
• Single vortex structure in two models of iron pnictide $s^{\pm }$ superconductivity
• Interplane and intraplane heat transport in quasi two-dimensional nodal superconductors
• Superconducting gap structure of the skutterudite LaPt4Ge12 probed by specific heat and thermal transport
• Searching for zeroes: unconventional superconductors in a magnetic field
• Angle-dependent magnetothermal conductivity in d-wave superconductors
• Depression of quasiparticle density of states at zero energy in La1.9Sr0.1Cu1-xZnxO4
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Angle Dependence of the Transverse Thermal Conductivity in YBa${}_2$Cu${}_3$O${}_7$ single crystals: Doppler Effect vs. Andreev scattering
• Gossamer Superconductivity, New Paradigm?
• Quasiparticle Thermal Conductivities in a Type-II Superconductor at High Magnetic Field
• Magnetic field effects on the density of states of orthorhombic superconductors
• Sub-Dominant Pairing Channels in Unconventional Superconductors: Ginzburg-Landau Theory
• Thermal conductivity in a mixed state of a superconductor at low magnetic fields
• Spontaneous thermal Hall effect in three-dimensional chiral superconductors with gap nodes
• Microwave Conductivity of a High Purity d-wave Superconductor
• Impurity scattering effects on the low-temperature specific heat of d-wave superconductors
• Universal thermal conductivity in the vortex state of cuprate superconductors
• Doppler shift on local density of states and local impurity scattering in the vortex state
• Non-Centrosymmetric Heavy-Fermion Superconductors
• Quasi-particle Density in Sr2RuO4 Probed by means of the Phonon Thermal Conductivity
• Low temperature superfluid stiffness of d-wave superconductor in a magnetic field
• Logarithmic Upturn in Low-Temperature Electronic Transport as a Signature of d-Wave Order in Cuprate Superconductors
• C-axis Optical Sum Rule in Josephson Coupled Vortex State
• Quasi-Classical Calculation of the Mixed-State Thermal Conductivity in s-Wave and d-Wave Superconductors
• Impurity resonances in the mixed state of high-Tc superconductors
• Field angle-dependent thermal conductivity in nodal superconuctors
• Thermal conductivity in the vortex state of d-wave superconductors
• Drastic enhancement of the thermal Hall angle in a $d$-wave superconductor
• Influence of temperature on the nodal properties of the longitudinal thermal conductivity of YBa${}_2$Cu${}_3$O${}_{7-x}$
• Transport in vortex state of d-wave superconductors at zero temperature: Wiedemann-Franz violation
• Analysis of Magnetic Field-Angle Dependent Electronic Raman Scattering to Probe the Superconducting Gap