Interplay of disorder and magnetic field in the superconducting vortex state

Abstract

We calculate the density of states of an inhomogeneous superconductor in a magnetic field where the positions of vortices are distributed completely at random. We consider both the cases of s-wave and d-wave pairing. For both pairing symmetries either the presence of disorder or increasing the density of vortices enhances the low energy density of states. In the s-wave case the gap is filled and the density of states is a power law at low energies. In the d-wave case the density of states is finite at zero energy and it rises linearly at very low energies in the Dirac isotropic case (α_D=t/Δ_0=1, where t is the hopping integral and Δ_0 is the amplitude of the order parameter). For slightly higher energies the density of states crosses over to a quadratic behavior. As the Dirac anisotropy increases (as Δ_0 decreases with respect to the hopping term) the linear region decreases in width. Neglecting this small region the density of states interpolates between quadratic and back to linear as α_D increases. The low energy states are strongly peaked near the vortex cores.

arXiv comment12 REVTeX pages, 15 figures

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Cited by in corpus (8)

• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Single-Particle Density of States of a Superconductor with a Spatially Varying Gap and Phase Fluctuations
• Vortex spectroscopy in the vortex glass: A real-space numerical approach
• Single vortex structure in two models of iron pnictide $s^{\pm }$ superconductivity
• Local density of states of a strongly type-II d-wave superconductor: The binary alloy model in a magnetic field
• Effects of disorder on the vortex charge
• Exploring the vortex phase diagram of Bogoliubov-de Gennes disordered superconductors
• Pinning of Vortices by impurities in Unconventional superconductors