Large oscillations of the density of states at the vortex axis

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Abstract
We solve the quasiclassical equations of superconductivity self-consistently for a lattice of interacting flux lines and calculate the local density of states at a flux-line center. For strongly interacting flux lines, with a nearest-neighbor distance d smaller than about 7 coherence lengths, we find an oscillatory behavior of the density of states as a function of energy. These oscillations increase in magnitude with decreasing d and should be observable by means of scanning-tunneling-microscope experiments. We analyze the physical origin of this behavior in terms of the direction dependence of the quasiparticle states in a dense vortex lattice.