Noise-to-current ratio divergence as a fingerprint of dispersing Majorana edge modes

Fuente: arXiv
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Autori principali: Katayama, Leo, Schnyder, Andreas P., Asano, Yasuhiro, Ikegaya, Satoshi
Natura: Preprint
Pubblicazione: 2025
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author Katayama, Leo
Schnyder, Andreas P.
Asano, Yasuhiro
Ikegaya, Satoshi
author_facet Katayama, Leo
Schnyder, Andreas P.
Asano, Yasuhiro
Ikegaya, Satoshi
contents The definitive detection of Majorana modes in topological superconductors is a key issue in condensed matter physics. Here we propose a smoking-gun experiment for the detection of one-dimensional dispersing Majorana edge modes, based on theoretical results for multi-terminal transport in a setup consisting of two normal metal leads and a topological superconductor. In the proposed device, the unpaired nature of the Majorana edge modes inherently leads to the absence of the charge current in the linear response regime, while the current fluctuation remains significant. Therefore, the divergence in the noise-to-current ratio serves as unambiguous evidence for the presence of the dispersing Majorana edge modes. We reach this conclusion analytically, without relying on any specific model of topological superconductors. In addition, using tight-binding models of topological-insulator-based topological superconductors, we numerically verify the predicted divergent noise-to-current ratio. We also discuss the application of our proposal to the CoSi$_2$/TiSi$_2$ heterostructure and the iron-based superconductor FeTe$_{1-x}$Se$_x$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20921
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Noise-to-current ratio divergence as a fingerprint of dispersing Majorana edge modes
Katayama, Leo
Schnyder, Andreas P.
Asano, Yasuhiro
Ikegaya, Satoshi
Superconductivity
Mesoscale and Nanoscale Physics
The definitive detection of Majorana modes in topological superconductors is a key issue in condensed matter physics. Here we propose a smoking-gun experiment for the detection of one-dimensional dispersing Majorana edge modes, based on theoretical results for multi-terminal transport in a setup consisting of two normal metal leads and a topological superconductor. In the proposed device, the unpaired nature of the Majorana edge modes inherently leads to the absence of the charge current in the linear response regime, while the current fluctuation remains significant. Therefore, the divergence in the noise-to-current ratio serves as unambiguous evidence for the presence of the dispersing Majorana edge modes. We reach this conclusion analytically, without relying on any specific model of topological superconductors. In addition, using tight-binding models of topological-insulator-based topological superconductors, we numerically verify the predicted divergent noise-to-current ratio. We also discuss the application of our proposal to the CoSi$_2$/TiSi$_2$ heterostructure and the iron-based superconductor FeTe$_{1-x}$Se$_x$.
title Noise-to-current ratio divergence as a fingerprint of dispersing Majorana edge modes
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2502.20921