Conductance matrix symmetries of multiterminal semiconductor-superconductor devices

Andrea Maiani, Max Geier, and Karsten Flensberg
Phys. Rev. B 106, 104516 – Published 28 September 2022

Abstract

Nonlocal tunneling spectroscopy of multiterminal semiconductor-superconductor hybrid devices is a powerful tool to investigate the Andreev bound states below the parent superconducting gap. We examine how to exploit both microscopic and geometrical symmetries of the system to extract information on the normal and Andreev transmission probabilities from the multiterminal electric or thermoelectric differential conductance matrix under the assumption of an electrostatic potential landscape independent of the bias voltages, as well as the absence of leakage currents. These assumptions lead to several symmetry relations on the conductance matrix. Next, by considering a numerical model of a proximitized semiconductor wire with spin-orbit coupling and two normal contacts at its ends, we show how such symmetries can be used to identify the direction and relative strength of Rashba versus Dresselhaus spin-orbit coupling. Finally, we study how a voltage-bias-dependent electrostatic potential as well as quasiparticle leakage breaks the derived symmetry relations and investigate characteristic signatures of these two effects.

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  • Received 28 June 2022
  • Revised 13 September 2022
  • Accepted 14 September 2022

DOI:https://doi.org/10.1103/PhysRevB.106.104516

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Andrea Maiani, Max Geier, and Karsten Flensberg

  • Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark

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Issue

Vol. 106, Iss. 10 — 1 September 2022

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