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Bound states and extended states around a single vortex in the d-wave superconductors

Masaru Kato·Kazumi Maki
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Abstract

Making use of the Bogoliubov-de Gennes equation for the d-wave superconductors, we investigate the quasi-particle spectrum around a single vortex. Taking $p_Fξ=10$, we found that there are bound states which are localized around the vortex core, and extended states which are rather uniform, for $|E|<Δ$ where $E$ is the quasi-particle energy and $Δ$ is the asymptotic value of the order parameter for away from the vortex.

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Masaru Kato, Kazumi Maki. 2000-11-10. Bound states and extended states around a single vortex in the d-wave superconductors. https://doi.org/10.1016/s0304-8853(00)00800-3

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