Andreev bound states for cake shape superconducting-normal system

Cserti, József and Beri, Benjamin and Kormanyos, Andor and Pollner, Peter and Kaufmann, Z. (2004) Andreev bound states for cake shape superconducting-normal system. Journal of Physics: Condensed Matter, 16 (37). ISSN 1361-648X

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The energy spectrum of cake shape normal–superconducting systems is calculated by solving the Bogoliubov–de Gennes equation. We take into account the mismatch in the effective masses and Fermi energies of the normal and superconducting regions as well as the potential barrier at the interface. In the case of a perfect interface and without mismatch, the energy levels are treated by semi-classics. Analytical expressions for the density of states and its integral, the step function, are derived and compared with that obtained from exact numerics. We find a very good agreement between the two calculations. It is shown that the spectrum possesses an energy gap and the density of states is singular at the edge of the gap. The effect of the mismatch and the potential barrier on the gap is also investigated.

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Journal Article
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Journal of Physics: Condensed Matter
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29 Sep 2011 10:09
Last Modified:
21 Nov 2022 21:41