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Title: Three-dimensional superconductors with hybrid higher-order topology

Abstract

We consider three-dimensional superconductors in class DIII with a fourfold rotation axis and inversion symmetry. It is shown that such systems can exhibit higher-order topology with helical Majorana hinge modes. In the case of even-parity superconductors, we show that higher-order topological superconductors can be obtained by adding a small pairing with the appropriate C4 symmetry implementation to a topological insulator. We also show that a hybrid case is possible, where Majorana surface cones resulting from nontrivial strong topology coexist with helical hinge modes. Here, we propose a bulk invariant detecting this hybrid scenario, and numerically analyze a tight binding model exhibiting both Majorana cones and hinge modes.

Authors:
 [1];  [2];  [3]
  1. Princeton Univ., Princeton, NJ (United States)
  2. Princeton Univ., Princeton, NJ (United States); Freie Univ. Berlin, Berlin (Germany); Max Planck Inst. of Microstructure Physics, Halle (Germany)
  3. Univ. of California, Berkeley, CA (United States); Princeton Univ., Princeton, NJ (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1571984
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Bultinck, Nick, Bernevig, B. Andrei, and Zaletel, Michael P. Three-dimensional superconductors with hybrid higher-order topology. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.125149.
Bultinck, Nick, Bernevig, B. Andrei, & Zaletel, Michael P. Three-dimensional superconductors with hybrid higher-order topology. United States. https://doi.org/10.1103/physrevb.99.125149
Bultinck, Nick, Bernevig, B. Andrei, and Zaletel, Michael P. Tue . "Three-dimensional superconductors with hybrid higher-order topology". United States. https://doi.org/10.1103/physrevb.99.125149. https://www.osti.gov/servlets/purl/1571984.
@article{osti_1571984,
title = {Three-dimensional superconductors with hybrid higher-order topology},
author = {Bultinck, Nick and Bernevig, B. Andrei and Zaletel, Michael P.},
abstractNote = {We consider three-dimensional superconductors in class DIII with a fourfold rotation axis and inversion symmetry. It is shown that such systems can exhibit higher-order topology with helical Majorana hinge modes. In the case of even-parity superconductors, we show that higher-order topological superconductors can be obtained by adding a small pairing with the appropriate C4 symmetry implementation to a topological insulator. We also show that a hybrid case is possible, where Majorana surface cones resulting from nontrivial strong topology coexist with helical hinge modes. Here, we propose a bulk invariant detecting this hybrid scenario, and numerically analyze a tight binding model exhibiting both Majorana cones and hinge modes.},
doi = {10.1103/physrevb.99.125149},
journal = {Physical Review. B},
number = 12,
volume = 99,
place = {United States},
year = {Tue Mar 26 00:00:00 EDT 2019},
month = {Tue Mar 26 00:00:00 EDT 2019}
}

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Cited by: 38 works
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Works referencing / citing this record:

Phase-tunable second-order topological superconductor
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Second-order topological phases protected by chiral symmetry
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