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Nonlocal conductance and the detection of Majorana zero modes: Insights from von Neumann entropy
Journal
Physical Review B
ISSN
24699950
Date Issued
2022-04-15
Author(s)
Kejriwal, Abhishek
Muralidharan, Bhaskaran
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.
Volume
105
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