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

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

2000-11-10

arxiv.org/abs/cond-mat/0011173v1

Physics

Condensed Matter

Superconductivity

4 pages, 6 figures

Scientific paper

10.1016/S0304-8853(00)00800-3

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

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