Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum

We investigate the quantum transport through a quantum dot coupled with a superconducting (SC) nanowire. By elaborating the differential conductance and current noise spectrum, we focus on the distinct characteristics of the topological Majorana bound states (MBSs) and trivial Andereev bound states...

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Main Authors: Huajin Zhao, Junrong Wang, Hong Mao, Jinshuang Jin
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
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Online Access:https://doi.org/10.1088/1367-2630/ada9ab
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author Huajin Zhao
Junrong Wang
Hong Mao
Jinshuang Jin
author_facet Huajin Zhao
Junrong Wang
Hong Mao
Jinshuang Jin
author_sort Huajin Zhao
collection DOAJ
description We investigate the quantum transport through a quantum dot coupled with a superconducting (SC) nanowire. By elaborating the differential conductance and current noise spectrum, we focus on the distinct characteristics of the topological Majorana bound states (MBSs) and trivial Andereev bound states (ABSs) hosted in SC wire. For MBSs with a topological quality factor q  = 1, we observe the degenerate features manifested as the zero-bias peak (ZBP) in differential conductance and the Rabi dips degeneracy (RDD) in noise spectrum. In contrast, for ABSs with q  < 1, the splitting of these degenerate features depends on the linewidth, arising from realistic measurement conditions. Furthermore, we identify the critical quality factors $q_{\mathit{c}}$ and $q_{{\textit{S}}}$ associated with the emergences of ZBP and RDD, respectively. The value of $q_{\mathit{c}}$ is temperature-dependent, and we establish a suitable temperature window to ensure the visibility of single ZBP in the experiments. Whereas, $q_{\mathit{c}}$ depends on the coupling strength rather than the temperature. Typical values for these quality factors are approximately $q_{\mathit{c}}\approx 0.93$ and $q_{{\textit{S}}}\approx 0.99$ . Our results suggest that the degenerate Rabi spectrum signal could serve as a hallmark for the presence of MBSs, which goes beyond the scope of differential conductance.
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spelling doaj-art-4bbad7df02bf4b4294104a4a74a8b8c92025-02-05T13:49:56ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202300610.1088/1367-2630/ada9abDistinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrumHuajin Zhao0Junrong Wang1Hong Mao2Jinshuang Jin3https://orcid.org/0000-0002-4902-0606School of Physics, Hangzhou Normal University , Hangzhou, Zhejiang 311121, People’s Republic of ChinaSchool of Physics, Hangzhou Normal University , Hangzhou, Zhejiang 311121, People’s Republic of ChinaSchool of Physics, Hangzhou Normal University , Hangzhou, Zhejiang 311121, People’s Republic of ChinaSchool of Physics, Hangzhou Normal University , Hangzhou, Zhejiang 311121, People’s Republic of ChinaWe investigate the quantum transport through a quantum dot coupled with a superconducting (SC) nanowire. By elaborating the differential conductance and current noise spectrum, we focus on the distinct characteristics of the topological Majorana bound states (MBSs) and trivial Andereev bound states (ABSs) hosted in SC wire. For MBSs with a topological quality factor q  = 1, we observe the degenerate features manifested as the zero-bias peak (ZBP) in differential conductance and the Rabi dips degeneracy (RDD) in noise spectrum. In contrast, for ABSs with q  < 1, the splitting of these degenerate features depends on the linewidth, arising from realistic measurement conditions. Furthermore, we identify the critical quality factors $q_{\mathit{c}}$ and $q_{{\textit{S}}}$ associated with the emergences of ZBP and RDD, respectively. The value of $q_{\mathit{c}}$ is temperature-dependent, and we establish a suitable temperature window to ensure the visibility of single ZBP in the experiments. Whereas, $q_{\mathit{c}}$ depends on the coupling strength rather than the temperature. Typical values for these quality factors are approximately $q_{\mathit{c}}\approx 0.93$ and $q_{{\textit{S}}}\approx 0.99$ . Our results suggest that the degenerate Rabi spectrum signal could serve as a hallmark for the presence of MBSs, which goes beyond the scope of differential conductance.https://doi.org/10.1088/1367-2630/ada9abquantum transportMajorana bound statesAndreev bound statesquality factormaster equation
spellingShingle Huajin Zhao
Junrong Wang
Hong Mao
Jinshuang Jin
Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
New Journal of Physics
quantum transport
Majorana bound states
Andreev bound states
quality factor
master equation
title Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
title_full Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
title_fullStr Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
title_full_unstemmed Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
title_short Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
title_sort distinguishing majorana bound states from andreev bound states through differential conductance and current noise spectrum
topic quantum transport
Majorana bound states
Andreev bound states
quality factor
master equation
url https://doi.org/10.1088/1367-2630/ada9ab
work_keys_str_mv AT huajinzhao distinguishingmajoranaboundstatesfromandreevboundstatesthroughdifferentialconductanceandcurrentnoisespectrum
AT junrongwang distinguishingmajoranaboundstatesfromandreevboundstatesthroughdifferentialconductanceandcurrentnoisespectrum
AT hongmao distinguishingmajoranaboundstatesfromandreevboundstatesthroughdifferentialconductanceandcurrentnoisespectrum
AT jinshuangjin distinguishingmajoranaboundstatesfromandreevboundstatesthroughdifferentialconductanceandcurrentnoisespectrum