Fine energy splitting of overlapping Andreev bound states in multiterminal superconducting nanostructures
V. Kornich (TU Delft - QN/Nazarov Group, Kavli institute of nanoscience Delft)
Hristo S. Barakov (Kavli institute of nanoscience Delft, TU Delft - QN/Nazarov Group)
Y.V. Nazarov (TU Delft - QN/Nazarov Group, Kavli institute of nanoscience Delft)
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Abstract
The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multiterminal 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 RGQ, with RGQ 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.