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

Y. Morita·M. Kohmoto·K. Maki
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Abstract

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 $p_{F}ξ$ is small. Second, for $p_{F}ξ\sim 1$, a peak with a large energy gap $E_{0}\sim Δ$ is found in the density of states, which is due to the formation of the lowest bound states.

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Y. Morita, M. Kohmoto, K. Maki. 1997-06-12. Low-lying excitations around a single vortex in a d-wave superconductor. https://doi.org/10.1209/epl%2Fi1997-00446-x

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