Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges

Two-terminal conductance spectroscopy of superconducting devices is a common tool for probing Andreev and Majorana bound states. Here, we study theoretically a three-terminal setup, with two normal leads coupled to a grounded superconducting terminal. Using a single-electron scattering matrix, we de...

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Bibliographic Details
Published in:arXiv.org 2019-05
Main Authors: Danon, Jeroen, Anna Birk Hellenes, Esben Bork Hansen, Lucas Casparis, Higginbotham, Andrew P, Flensberg, Karsten
Format: Article
Language:English
Subjects:
Mathematical analysis
Matrix methods
Resistance
Single electrons
Spectroscopy
Spectrum analysis
Superconducting devices
Superconductivity
Online Access:Get full text
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Summary:Two-terminal conductance spectroscopy of superconducting devices is a common tool for probing Andreev and Majorana bound states. Here, we study theoretically a three-terminal setup, with two normal leads coupled to a grounded superconducting terminal. Using a single-electron scattering matrix, we derive the subgap conductance matrix for the normal leads and discuss its symmetries. In particular, we show that the local and the nonlocal elements of the conductance matrix have pairwise identical antisymmetric components. Moreover, we find that the nonlocal elements are directly related to the local BCS charges of the bound states close to the normal probes and we show how the BCS charge of overlapping Majorana bound states can be extracted from experiments.
ISSN:2331-8422
DOI:10.48550/arxiv.1905.05438