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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Main Authors: Xiaoming Wang, Tao Zhou
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
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.
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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