Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors

Topological properties of a double-stranded DNA (dsDNA) proximity-coupled by an s -wave superconductor are investigated, in which the energy spectra and the differential conductance are calculated within the framework of tight-binding approximation. Our results indicate that this dsDNA-superconducto...

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Main Authors: Qiao Chen, Ai-Min Guo, Jie Liu, F M Peeters, Qing-Feng Sun
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac2711
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author Qiao Chen
Ai-Min Guo
Jie Liu
F M Peeters
Qing-Feng Sun
author_facet Qiao Chen
Ai-Min Guo
Jie Liu
F M Peeters
Qing-Feng Sun
author_sort Qiao Chen
collection DOAJ
description Topological properties of a double-stranded DNA (dsDNA) proximity-coupled by an s -wave superconductor are investigated, in which the energy spectra and the differential conductance are calculated within the framework of tight-binding approximation. Our results indicate that this dsDNA-superconductor system hosts Majorana zero modes (MZMs) when the Zeeman field is perpendicular to the helix axis, whereas no MZM could be observed when the Zeeman field is parallel to the helix axis, in sharp contrast to previous studies on nanowires including single-stranded DNA. In particular, two topological phase transitions could take place in the dsDNA-superconductor system by changing the Zeeman field, one from a topological trivial phase to a topological nontrivial phase with one pair of MZMs in small Zeeman field regime, and the other from a phase with one pair of MZMs to a phase with two pairs of MZMs by further increasing the Zeeman field. In the presence of a gate field normal to the helix axis, the topological nontrivial phase with two pairs of MZMs can transform into the phase with one pair of MZMs. The topological phase with one pair of MZMs is more stable and robust against Anderson disorder.
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spelling doaj.art-aed7b09c74f1496392d7a28fa54dfa7d2023-08-08T15:39:26ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123909304710.1088/1367-2630/ac2711Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductorsQiao Chen0https://orcid.org/0000-0002-9108-8516Ai-Min Guo1Jie Liu2https://orcid.org/0000-0003-0140-5176F M Peeters3Qing-Feng Sun4Department of Maths and Physics, Hunan Institute of Engineering , Xiangtan 411104, People’s Republic of ChinaHunan Key Laboratory for Super-microstructure and Ultrafast Process, School of Physics and Electronics, Central South University , Changsha 410083, People’s Republic of ChinaDepartment of Applied Physics, School of Science, Xi’an Jiaotong University , Xi’an 710049, People’s Republic of ChinaDepartment of Physics, University of Antwerp , Groenenborgerlaan 171, B-2020 Antwerp, Belgium; School of Physics and Astronomy and Yunnan Key Laboratory for Quantum Information, Yunnan University , Kunming 650091, People’s Republic of ChinaInternational Center for Quantum Materials, School of Physics, Peking University , Beijing 100871, People’s Republic of China; Collaborative Innovation Center of Quantum Matter , Beijing 100871, People’s Republic of China; CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences , Beijing 100190, People’s Republic of ChinaTopological properties of a double-stranded DNA (dsDNA) proximity-coupled by an s -wave superconductor are investigated, in which the energy spectra and the differential conductance are calculated within the framework of tight-binding approximation. Our results indicate that this dsDNA-superconductor system hosts Majorana zero modes (MZMs) when the Zeeman field is perpendicular to the helix axis, whereas no MZM could be observed when the Zeeman field is parallel to the helix axis, in sharp contrast to previous studies on nanowires including single-stranded DNA. In particular, two topological phase transitions could take place in the dsDNA-superconductor system by changing the Zeeman field, one from a topological trivial phase to a topological nontrivial phase with one pair of MZMs in small Zeeman field regime, and the other from a phase with one pair of MZMs to a phase with two pairs of MZMs by further increasing the Zeeman field. In the presence of a gate field normal to the helix axis, the topological nontrivial phase with two pairs of MZMs can transform into the phase with one pair of MZMs. The topological phase with one pair of MZMs is more stable and robust against Anderson disorder.https://doi.org/10.1088/1367-2630/ac2711topological phase transitionsMajorana zero modesdouble-stranded DNA
spellingShingle Qiao Chen
Ai-Min Guo
Jie Liu
F M Peeters
Qing-Feng Sun
Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
New Journal of Physics
topological phase transitions
Majorana zero modes
double-stranded DNA
title Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
title_full Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
title_fullStr Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
title_full_unstemmed Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
title_short Topological phase transitions and Majorana zero modes in DNA double helix coupled to s-wave superconductors
title_sort topological phase transitions and majorana zero modes in dna double helix coupled to s wave superconductors
topic topological phase transitions
Majorana zero modes
double-stranded DNA
url https://doi.org/10.1088/1367-2630/ac2711
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