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 $p_F\xi =10$, 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.

4 pages, 6 figures

References in corpus (5)

• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• STM Studies of the Electronic Structure of Vortex Cores in Bi2Sr2CaCu2O8+d
• Self-consistent electronic structure of a $d_{x^2-y^2}$ and a $d_{x^2-y^2}+i{d}_{xy}$ vortex
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Cited by in corpus (2)

• Discrete transverse superconducting modes in nano-cylinders
• Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover