Low-lying excitations around a single vortex in a d-wave superconductor

Details Low-lying excitations around a single vortex in a d-wave superconductor Low-lying excitations around a single vortex in a d-wave superconductor

1997-06-12

arxiv.org/abs/cond-mat/9706118v1

Physics

Condensed Matter

Superconductivity

7pages, Revtex

Scientific paper

10.1209/epl/i1997-00446-x

A full quantum-mechanical treatment of the Bogoliubov-de Gennes equation for a single vortex in a d-wave superconductor is presented. First, we find low-energy states extended in four diagonal directions, which have no counterpart in a vortex of s-wave superconductors. The four-fold symmetry is due to 'quantum effect', which is enhanced when $p_{F}\xi $ is small. Second, for $p_{F}\xi \sim 1$, a peak with a large energy gap $E_{0}\sim \Delta $ is found in the density of states, which is due to the formation of the lowest bound states.

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