The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is analytically solvable and can be realized by a hybrid system of...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ac7c85 |
| _version_ | 1797748404373159936 |
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| author | Chuan-Zhe Yao Wei-Min Zhang |
| author_facet | Chuan-Zhe Yao Wei-Min Zhang |
| author_sort | Chuan-Zhe Yao |
| collection | DOAJ |
| description | In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is analytically solvable and can be realized by a hybrid system of semiconductor nanowire coupled to superconductors or by 1D transverse-field Ising chains. In such asymmetric superconducting chains, by the change of chemical potential, its ground state undergoes a topological quantum phase transition from the topological Majorana bound state to the trivial Andreev bound state while the ground state energy remains zero. We solve the exact transient transport current and the corresponding differential conductance. The results show that the presence or absence of the interference between the left and right Majorana zero modes plays an important role on the topological phase transition of conductance. It causes the edge-localized topologically trivial states to be insulated with zero conductance, while the nonlocally distributed topologically nontrivial states always have a quantized conductance 2 e ^2 / h . This dramatic change associated with topological phase transition in the zero-mode differential conductance at zero bias is independent of the structure of leads and the coupling strength. We also examine the finite size effect of the superconducting chain and the coherence effect between zero mode and non-zero energy modes in the differential conductance of this two-terminal Majorana device. |
| first_indexed | 2024-03-12T16:04:16Z |
| format | Article |
| id | doaj.art-147a9a0571bc419ea8c86b249c84b211 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:04:16Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-147a9a0571bc419ea8c86b249c84b2112023-08-09T14:25:13ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124707301510.1088/1367-2630/ac7c85The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana deviceChuan-Zhe Yao0https://orcid.org/0000-0002-4576-777XWei-Min Zhang1https://orcid.org/0000-0003-2117-3608Department of Physics and Center for Quantum Information Science, National Cheng Kung University , Tainan 70101, TaiwanDepartment of Physics and Center for Quantum Information Science, National Cheng Kung University , Tainan 70101, Taiwan; Physics Division , National Center for Theoretical Sciences, Taipei 10617, TaiwanIn this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is analytically solvable and can be realized by a hybrid system of semiconductor nanowire coupled to superconductors or by 1D transverse-field Ising chains. In such asymmetric superconducting chains, by the change of chemical potential, its ground state undergoes a topological quantum phase transition from the topological Majorana bound state to the trivial Andreev bound state while the ground state energy remains zero. We solve the exact transient transport current and the corresponding differential conductance. The results show that the presence or absence of the interference between the left and right Majorana zero modes plays an important role on the topological phase transition of conductance. It causes the edge-localized topologically trivial states to be insulated with zero conductance, while the nonlocally distributed topologically nontrivial states always have a quantized conductance 2 e ^2 / h . This dramatic change associated with topological phase transition in the zero-mode differential conductance at zero bias is independent of the structure of leads and the coupling strength. We also examine the finite size effect of the superconducting chain and the coherence effect between zero mode and non-zero energy modes in the differential conductance of this two-terminal Majorana device.https://doi.org/10.1088/1367-2630/ac7c85Majorana zero modenon-Markovian dynamicstopological phase transitiondifferential conductanceelectron transport |
| spellingShingle | Chuan-Zhe Yao Wei-Min Zhang The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device New Journal of Physics Majorana zero mode non-Markovian dynamics topological phase transition differential conductance electron transport |
| title | The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device |
| title_full | The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device |
| title_fullStr | The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device |
| title_full_unstemmed | The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device |
| title_short | The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device |
| title_sort | differential conductance tunnel spectroscopy in an analytical solvable two terminal majorana device |
| topic | Majorana zero mode non-Markovian dynamics topological phase transition differential conductance electron transport |
| url | https://doi.org/10.1088/1367-2630/ac7c85 |
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