Mixed state of a lattice d-wave superconductor

Abstract

We study the mixed state in an extreme type-II lattice d-wave superconductor in the regime of intermediate magnetic fields H_{c1} << H << H_{c2}. We analyze the low energy spectrum of the problem dominated by nodal Dirac-like quasiparticles with momenta near k_F=(\pm k_D,\pm k_D) and find that the spectrum exhibits characteristic oscillatory behavior with respect to the product of k_D and magnetic length l. The Simon-Lee scaling, predicted in this regime, is satisfied only on average, with the magnitude of the oscillatory part of the spectrum displaying the same 1/l dependence as its monotonous ``envelope'' part. The oscillatory behavior of the spectrum is due to the inter-nodal interference enhanced by the singular nature of the low energy eigenfunctions near vortices. We also study a separate problem of a single vortex piercing an isolated superconducting grain of size L by L. Here we find that the periodicity of the quasiparticle energy oscillations with respect to k_D L is doubled relative to the case where the field is zero and the vortex is absent, both such oscillatory behaviors being present at the leading order in 1/L. Finally, we review the overall features of the tunneling conductance experiments in YBCO and BSCCO, and suggest an interpretation of the peaks at 5-20 meV observed in the tunneling local density of states in these materials.

arXiv comment16 pages, 11 figures

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Cited by in corpus (13)

• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Restoration of the magnetic hc/e-periodicity in unconventional superconductors
• Quantum Oscillations in the mixed state of d-wave superconductor
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Berry phases and the intrinsic thermal Hall effect in high temperature cuprate superconductors
• Phases in two dimensional $p_x+i{p}_y$ superconducting systems with next-nearest-neighbor interactions
• Anomalous scaling and gapless fermions of d-wave superconductors in magnetic field
• Ginzburg-Landau Theory for Unconventional Superconductors: Noncompact U(1) Lattice Gauge Model Coupled with Link Higgs Field
• Model for Vortex Pinning in a Two-Dimensional Inhomogeneous d-wave Superconductor
• Relaxation of Nuclear Magnetic Moments and Site-Selective NMR in d-Wave Superconductors
• Geometric phases of d-wave vortices in a model of lattice fermions
• Onsager rule, quantum oscillation frequencies, and the density of states in the mixed-vortex state of cuprates
• Quantum critical phenomena of unconventional superconductors: U(1) gauge model of link Cooper pair