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arXiv · 1906.06734

Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures

Viktoriia Kornich·Hristo S. Barakov·Yuli V. Nazarov
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Abstract

The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multi-terminal superconducting nanostructures. We evaluate the energy splitting of degenerate Andreev bound states, that overlap in a superconducting lead, and find that the splitting is reduced in comparison with their energy by a small factor $\sqrt{R G_Q}$, $R G_Q$ being the dimensionless resistance of the overlap region in the normal state. This permits quantum manipulation of the quasiparticles in these states. We provide a simple scheme of such manipulation.

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Viktoriia Kornich, Hristo S. Barakov, Yuli V. Nazarov. 2019-06-16. Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures. https://doi.org/10.1103/physrevresearch.1.033004

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