Nonlocal Conductance Spectroscopy of Andreev Bound States: Symmetry Relations and BCS Charges

Jeroen Danon, Anna Birk Hellenes, Esben Bork Hansen, Lucas Casparis, Andrew P. Higginbotham, and Karsten Flensberg
Phys. Rev. Lett. 124, 036801 – Published 22 January 2020
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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.

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  • Received 2 May 2019
  • Corrected 28 January 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.036801

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Corrections

28 January 2020

Correction: The article identification number for this Letter was assigned incorrectly and has been fixed.

Authors & Affiliations

Jeroen Danon1, Anna Birk Hellenes2, Esben Bork Hansen2, Lucas Casparis2,3, Andrew P. Higginbotham2,3, and Karsten Flensberg2

  • 1Center for Quantum Spintronics, Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
  • 2Center for Quantum Devices, Niels Bohr Institute, 2100 Copenhagen, Denmark
  • 3Microsoft Quantum–Copenhagen, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark

See Also

Conductance-Matrix Symmetries of a Three-Terminal Hybrid Device

G. C. Ménard, G. L. R. Anselmetti, E. A. Martinez, D. Puglia, F. K. Malinowski, J. S. Lee, S. Choi, M. Pendharkar, C. J. Palmstrøm, K. Flensberg, C. M. Marcus, L. Casparis, and A. P. Higginbotham
Phys. Rev. Lett. 124, 036802 (2020)

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Vol. 124, Iss. 3 — 24 January 2020

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