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

J. Danon, A.B. Hellenes, E.B. Hansen, L. Casparis, A.P. Higginbotham, K. Flensberg, Physical Review Letters 124 (2020) 036801.


Journal Article | Published | English
Author
Danon, Jeroen; Hellenes, Anna Birk; Hansen, Esben Bork; Casparis, Lucas; Higginbotham, Andrew PIST Austria ; Flensberg, Karsten
Abstract
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.
Publishing Year
Date Published
2020-01-24
Journal Title
Physical Review Letters
Volume
124
Issue
3
Article Number
036801
IST-REx-ID

Cite this

Danon J, Hellenes AB, Hansen EB, Casparis L, Higginbotham AP, Flensberg K. Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges. Physical Review Letters. 2020;124(3):036801. doi:10.1103/physrevlett.124.036801
Danon, J., Hellenes, A. B., Hansen, E. B., Casparis, L., Higginbotham, A. P., & Flensberg, K. (2020). Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges. Physical Review Letters, 124(3), 036801. https://doi.org/10.1103/physrevlett.124.036801
Danon, Jeroen, Anna Birk Hellenes, Esben Bork Hansen, Lucas Casparis, Andrew P Higginbotham, and Karsten Flensberg. “Nonlocal Conductance Spectroscopy of Andreev Bound States: Symmetry Relations and BCS Charges.” Physical Review Letters 124, no. 3 (2020): 036801. https://doi.org/10.1103/physrevlett.124.036801.
J. Danon, A. B. Hellenes, E. B. Hansen, L. Casparis, A. P. Higginbotham, and K. Flensberg, “Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges,” Physical Review Letters, vol. 124, no. 3, p. 036801, 2020.
Danon J, Hellenes AB, Hansen EB, Casparis L, Higginbotham AP, Flensberg K. 2020. Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges. Physical Review Letters. 124(3), 036801.
Danon, Jeroen, et al. “Nonlocal Conductance Spectroscopy of Andreev Bound States: Symmetry Relations and BCS Charges.” Physical Review Letters, vol. 124, no. 3, APS, 2020, p. 036801, doi:10.1103/physrevlett.124.036801.
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