Fragile topology in nodal-line semimetal superconductors
The fragile topological phase is an exotic phase with unstable edge states. Its nontrivial band topology can be removed by coupling to additional topologically trivial bands. Here we reveal that the fragile band topology can be realized in the inversion symmetric odd parity superconducting nodal lin...
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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/ac8306 |
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author | Xiaoming Wang Tao Zhou |
author_facet | Xiaoming Wang Tao Zhou |
author_sort | Xiaoming Wang |
collection | DOAJ |
description | The fragile topological phase is an exotic phase with unstable edge states. Its nontrivial band topology can be removed by coupling to additional topologically trivial bands. Here we reveal that the fragile band topology can be realized in the inversion symmetric odd parity superconducting nodal line semimetal (SC-NLSM) materials with and without the spin orbital coupling. Without the spin orbital coupling, both the s -wave SC-NLSM and the p -wave SC-NLSM host a pair of Majorana zero modes on the system surface. For the spinful case, it has fourfold inverted bands and generates fourfold degenerate Majorana surface/edge states. However, we verify that for all of the systems we considered, they belong to the fragile topological superconducting system based on the Wilson loop method. The vortex bound states are studied numerically and the results depend strongly on the systems. |
first_indexed | 2024-03-12T16:04:29Z |
format | Article |
id | doaj.art-5368c9c95c884426ac8e0f34cd37f334 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:04:29Z |
publishDate | 2022-01-01 |
publisher | IOP Publishing |
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series | New Journal of Physics |
spelling | doaj.art-5368c9c95c884426ac8e0f34cd37f3342023-08-09T14:24:35ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124808301310.1088/1367-2630/ac8306Fragile topology in nodal-line semimetal superconductorsXiaoming Wang0Tao Zhou1https://orcid.org/0000-0003-0537-3562Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of ChinaGuangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University , Guangzhou 510006, People’s Republic of China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University , Guangzhou 510006, People’s Republic of ChinaThe fragile topological phase is an exotic phase with unstable edge states. Its nontrivial band topology can be removed by coupling to additional topologically trivial bands. Here we reveal that the fragile band topology can be realized in the inversion symmetric odd parity superconducting nodal line semimetal (SC-NLSM) materials with and without the spin orbital coupling. Without the spin orbital coupling, both the s -wave SC-NLSM and the p -wave SC-NLSM host a pair of Majorana zero modes on the system surface. For the spinful case, it has fourfold inverted bands and generates fourfold degenerate Majorana surface/edge states. However, we verify that for all of the systems we considered, they belong to the fragile topological superconducting system based on the Wilson loop method. The vortex bound states are studied numerically and the results depend strongly on the systems.https://doi.org/10.1088/1367-2630/ac8306nodal-line semimetaltopological superconductorfragile topologyMajorana zero modes |
spellingShingle | Xiaoming Wang Tao Zhou Fragile topology in nodal-line semimetal superconductors New Journal of Physics nodal-line semimetal topological superconductor fragile topology Majorana zero modes |
title | Fragile topology in nodal-line semimetal superconductors |
title_full | Fragile topology in nodal-line semimetal superconductors |
title_fullStr | Fragile topology in nodal-line semimetal superconductors |
title_full_unstemmed | Fragile topology in nodal-line semimetal superconductors |
title_short | Fragile topology in nodal-line semimetal superconductors |
title_sort | fragile topology in nodal line semimetal superconductors |
topic | nodal-line semimetal topological superconductor fragile topology Majorana zero modes |
url | https://doi.org/10.1088/1367-2630/ac8306 |
work_keys_str_mv | AT xiaomingwang fragiletopologyinnodallinesemimetalsuperconductors AT taozhou fragiletopologyinnodallinesemimetalsuperconductors |