Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of experimentally relevant parameters, in the presence of one long...
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MDPI AG
2023-05-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/13/10/1616 |
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| author | Levente Máthé Zoltán Kovács-Krausz Ioan Botiz Ioan Grosu Khadija El Anouz Abderrahim El Allati Liviu P. Zârbo |
| author_facet | Levente Máthé Zoltán Kovács-Krausz Ioan Botiz Ioan Grosu Khadija El Anouz Abderrahim El Allati Liviu P. Zârbo |
| author_sort | Levente Máthé |
| collection | DOAJ |
| description | We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of experimentally relevant parameters, in the presence of one long-wave optical phonon mode. We consider the current-gate voltage, the current-bias voltage and the current-dot–Majorana coupling characteristics under the influence of the electron–phonon coupling. In the absence of electron–phonon interaction, the Majorana bound states suppress the current when the gate voltage matches the Fermi level, but the increase in the bias voltage counteracts this effect. In the presence of electron–phonon coupling, the current behaves similarly as a function of the renormalized gate voltage. As an added feature at large bias voltages, it presents a dip or a plateau, depending on the size of the dot–Majorana coupling. Lastly, we show that the currents are most sensitive to, and depend non-trivially on the parameters of the Majorana circuit element, in the regime of low temperatures combined with low voltages. Our results provide insights into the complex physics of quantum dot devices used to probe Majorana bound states. |
| first_indexed | 2024-03-11T03:26:36Z |
| format | Article |
| id | doaj.art-9697ada96f5749959cb3a6d9b74b6818 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-11T03:26:36Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-9697ada96f5749959cb3a6d9b74b68182023-11-18T02:42:16ZengMDPI AGNanomaterials2079-49912023-05-011310161610.3390/nano13101616Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound StatesLevente Máthé0Zoltán Kovács-Krausz1Ioan Botiz2Ioan Grosu3Khadija El Anouz4Abderrahim El Allati5Liviu P. Zârbo6Center of Advanced Research and Technologies for Alternative Energies, National Institute for R & D of Isotopic and Molecular Technologies, 67-103 Donat, 400293 Cluj-Napoca, RomaniaDepartment of Physics, Institute of Physics, Budapest University of Technology and Economics, Műegyetem rkp. 3, H-1111 Budapest, HungaryFaculty of Physics, Babeș-Bolyai University, 1 Kogălniceanu, 400084 Cluj-Napoca, RomaniaFaculty of Physics, Babeș-Bolyai University, 1 Kogălniceanu, 400084 Cluj-Napoca, RomaniaLaboratory of R & D in Engineering Sciences, Faculty of Sciences and Techniques Al-Hoceima, Abdelmalek Essaadi University, Tetouan 93000, MoroccoLaboratory of R & D in Engineering Sciences, Faculty of Sciences and Techniques Al-Hoceima, Abdelmalek Essaadi University, Tetouan 93000, MoroccoCenter of Advanced Research and Technologies for Alternative Energies, National Institute for R & D of Isotopic and Molecular Technologies, 67-103 Donat, 400293 Cluj-Napoca, RomaniaWe theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of experimentally relevant parameters, in the presence of one long-wave optical phonon mode. We consider the current-gate voltage, the current-bias voltage and the current-dot–Majorana coupling characteristics under the influence of the electron–phonon coupling. In the absence of electron–phonon interaction, the Majorana bound states suppress the current when the gate voltage matches the Fermi level, but the increase in the bias voltage counteracts this effect. In the presence of electron–phonon coupling, the current behaves similarly as a function of the renormalized gate voltage. As an added feature at large bias voltages, it presents a dip or a plateau, depending on the size of the dot–Majorana coupling. Lastly, we show that the currents are most sensitive to, and depend non-trivially on the parameters of the Majorana circuit element, in the regime of low temperatures combined with low voltages. Our results provide insights into the complex physics of quantum dot devices used to probe Majorana bound states.https://www.mdpi.com/2079-4991/13/10/1616quantum dotMajorana bound stateselectron–phonon interactionoptical phononquantum transport |
| spellingShingle | Levente Máthé Zoltán Kovács-Krausz Ioan Botiz Ioan Grosu Khadija El Anouz Abderrahim El Allati Liviu P. Zârbo Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States Nanomaterials quantum dot Majorana bound states electron–phonon interaction optical phonon quantum transport |
| title | Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States |
| title_full | Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States |
| title_fullStr | Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States |
| title_full_unstemmed | Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States |
| title_short | Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States |
| title_sort | phonon assisted tunneling through quantum dot systems connected to majorana bound states |
| topic | quantum dot Majorana bound states electron–phonon interaction optical phonon quantum transport |
| url | https://www.mdpi.com/2079-4991/13/10/1616 |
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