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  • Letter

Nonlocal conductance and the detection of Majorana zero modes: Insights from von Neumann entropy

Abhishek Kejriwal1 and Bhaskaran Muralidharan2,*

  • 1Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
  • 2Department of Electrical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

  • *bm@ee.iitb.ac.in

Phys. Rev. B 105, L161403 – Published 14 April, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L161403

Abstract

Nonlocal conductance spectroscopy in three-terminal topological superconductor hybrid setups has been proposed as a way to conclusively detect topological phase transitions involving Majorana zero modes. Topological entanglement entropy is yet another way to gauge nonlocality in connection with the bulk-boundary correspondence of a topological phase. We show that while both the entanglement entropy and the nonlocal conductance exhibit a clear topological phase-transition signature for long enough pristine nanowires, nonlocal conductance fails to signal a topological phase transition for shorter disordered wires. While recent experiments have indeed shown premature gap-closing signatures in the nonlocal conductance spectra, we demonstrate that the entanglement entropy can indeed signal a genuine transition, regardless of the constituent nonidealities in an experimental situation.

Physics Subject Headings (PhySH)

Corrections

28 April, 2022

Correction: The previously published Figures 5(b), 5(c) and 5(d) contained wrong panels and have been replaced.

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