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Core structure and low-energy spectrum of isolated vortex lines in clean superconductors atT ≪T c

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Zeitschrift für Physik

Abstract

We present analytic solutions of the Eilenberger equations for the low-frequency Green's functions corresponding to those quasiparticles whose trajectories pass near the center of an isolated vortex. Using these results we find that for type II superconductors in the temperature rangeT c ≫T≫T c 2/εF the order parameter and the supercurrent near the vortex center increase over a lengthξ 1∼ξ BCS T/T c (ξ BCS=BCS coherence length) and that the density of states at the Fermi surface isN 0 2π 3 ξ 2BCS /3 In (ξ BCS/ξ 1). The results can be reproduced with the Bogoliubov equations for the elementary excitations. It is shown that this peculiar behavior is connected with the low-lying bound states in the vortex core. ForTť c 2/ε F one hasξ 1∼k F −1.

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Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage Jülich, Jülich, Germany

    Lorenz Kramer & Werner Pesch

Authors
  1. Lorenz Kramer
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  2. Werner Pesch
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Additional information

On Leave from Abteilung für Theoretische Festkörperphysik am Institut für Angewandte Physik der Universität Hamburg, Germany.

We wish to thank Prof. G. Eilenberger for many critical and stimulating discussions over the course of this work.

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Kramer, L., Pesch, W. Core structure and low-energy spectrum of isolated vortex lines in clean superconductors atT ≪T c . Z. Physik 269, 59–64 (1974). https://doi.org/10.1007/BF01668869

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  • DOI: https://doi.org/10.1007/BF01668869

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