Local density of states of an isolated vortex in an extreme type-II superconductor

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Abstract
We use Eilenberger’s quasiclassical equations to compute the self-consistent local density of states of an isolated vortex in an extreme type-II superconductor. We include the contributions from both the scattering states and the bound states and consider a two-dimensional Fermi surface. The local density of states as a function of energy shows a double-peak structure: (a) there is one peak at E=Δ at all distances from the vortex core and (b) a second peak at lower energies due to bound states in the core. This low-energy peak appears at successively lower energy as one moves closer to the core, giving rise to the enhancement of the zero-bias differential conductivity at the vortex core reported by Hess et al.