Bound states and extended states around a single vortex in the d-wave superconductors
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 pF=10, we found that there are bound states which are localized around the vortex core, and extended states which are rather uniform, for |E|< where E is the quasi-particle energy and is the asymptotic value of the order parameter for away from the vortex.
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