Dirac quasiparticles in the mixed state

Abstract

Energies and wave functions are calculated for d-wave quasiparticles in the mixed state using the formalism of Franz and Tesanovic for the low-lying energy levels. The accuracy of the plane-wave expansion is explored by comparing approximate to exact results for a simplified one-dimensional problem, and the convergence of the plane- wave expansion to the two-dimensional case is studied. The results are used to calculate the low-energy tunneling density of states and the low-temperature specific heat, and these theoretical results are compared to semiclassical treatments and to the available data. Implications for the muon spin resonance measurements of vortex core size are also discussed.

13 pages, 15 figures, RevTeX. References corrected. A factor of 2 in the results has been corrected, and the conclusions have been updated

References in corpus (14)

• Mixed-State Quasiparticle Spectrum for d-wave Superconductors
• Self-consistent electronic structure of a $d_{x^2-y^2}$ and a $d_{x^2-y^2}+i{d}_{xy}$ vortex
• Low-Energy Quasiparticles in Cuprate Superconductors: A Quantitative Analysis
• Quasiparticles in the vortex lattice of unconventional superconductors: Bloch waves or Landau levels?
• Scaling of the quasiparticle spectrum for d-wave superconductors
• Transport Properties of d-Wave Superconductors in the Vortex State
• Observation of d-wave scaling relations in the mixed-state specific heat of YBa2Cu3O7
• Vortex Contribution to Specific Heat of Dirty $d$-Wave Superconductors: Breakdown of Scaling
• Field Induced Reduction of the Low Temperature Superfluid Density in YBa2Cu3O6.95
• Singularity of the Vortex Density of States in d-wave Superconductors
• Mixed-state quasiparticle transport in high-T_c cuprates: localization by magnetic field
• Theory of NMR as a local probe for the electronic structure in the mixed state of the high-$T_c$ cuprates
• Spin-lattice relaxation in the mixed state of YBaCuO: Can we see Doppler-shifted d-wave quasiparticles?
• Theory of Scanning Tunneling Spectroscopy of Magnetic-Field-Induced Discrete Nodal States in a D-Wave Superconductor

Cited by in corpus (13)

• Nodal Structure of Unconventional Superconductors Probed by the Angle Resolved Thermal Transport Measurements
• Spectrum of low energy excitations in the vortex state: comparison of Doppler shift method to quasiclassical approach
• Hole doping dependences of the magnetic penetration depth and vortex core size in YBa2Cu3Oy: Evidence for stripe correlations near 1/8 hole doping
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Transport properties of 3D extended s-wave states in Fe-based superconductors
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
• Inversion of specific heat oscillations with in-plane magnetic field angle in 2D d-wave superconductors
• Two different quasiparticle scattering rates in vortex line liquid phase of layered d-wave superconductors
• Universal thermal conductivity in the vortex state of cuprate superconductors
• Dirac quasiparticles and spin-lattice relaxation in the mixed state
• Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• d-wave Quasiparticles in the Tilted Vortex Lattice