Topological crystalline superconductors in two dimensions

Topological crystalline superconductors in two dimensions We propose a general framework to classify the topological edge modes in two dimensional topological crystalline superconductors with time-reversal symmetry, which are protected by different crystalline symmetries. The realization of topological crystalline phases is investigated in the superconductors and a criterion for distinguishing topological phases in crystalline superconductor both with mirror and mirror-inversion symmetry is founded. In these topological phases, Majorana edge modes can be identified along the mirror invariant line, while topological edge modes in the AIII class exist along the mirror-inversion invariant line. Furthermore, for the time-reversal invariant superconductor when only the mirror-inversion symmetry is preserving, topological edge modes in the AIII class with nearly flat band emerge in the mirror-inversion parity subspace. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Physics: Condensed Matter Institute of Physics Publishing

Topological crystalline superconductors in two dimensions

Journal of Physics: Condensed Matter, Volume 31 (38): 10 – Sep 25, 2019

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Copyright
Copyright © 2019 IOP Publishing Ltd
ISSN
0953-8984
eISSN
1361-648X
D.O.I.
10.1088/1361-648X/ab29ce
Publisher site
See Article on Publisher Site

Abstract

We propose a general framework to classify the topological edge modes in two dimensional topological crystalline superconductors with time-reversal symmetry, which are protected by different crystalline symmetries. The realization of topological crystalline phases is investigated in the superconductors and a criterion for distinguishing topological phases in crystalline superconductor both with mirror and mirror-inversion symmetry is founded. In these topological phases, Majorana edge modes can be identified along the mirror invariant line, while topological edge modes in the AIII class exist along the mirror-inversion invariant line. Furthermore, for the time-reversal invariant superconductor when only the mirror-inversion symmetry is preserving, topological edge modes in the AIII class with nearly flat band emerge in the mirror-inversion parity subspace.

Journal

Journal of Physics: Condensed MatterInstitute of Physics Publishing

Published: Sep 25, 2019

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