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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IOP Publishing
2025-01-01
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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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institution | Kabale University |
issn | 1367-2630 |
language | English |
publishDate | 2025-01-01 |
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series | New Journal of Physics |
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 |