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2021 | OriginalPaper | Chapter

3. Superconducting Gap Classification on High-Symmetry Planes

Author : Dr. Shuntaro Sumita

Published in: Modern Classification Theory of Superconducting Gap Nodes

Publisher: Springer Singapore

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Abstract

In this chapter, using the classification theory introduced in Chap. 2, we completely classify the superconducting gap structures on high-symmetry (namely mirror- or glide-invariant) planes in the BZ. From the group-theoretical analysis, the classification tables for all possible symmetries are given in Sect. 3.1. The tables clarify the condition for nontrivial line nodes or gap opening on the BZ boundary, which are protected by nonsymmorphic symmetry. Next, in Sect. 3.2, we see a one-to-one correspondence between the group-theoretical and topological classification: all crystal-symmetry-protected line nodes on high-symmetry planes are also characterized by 0D and/or 1D topological numbers. Furthermore, we discuss the possibility of Majorana flat bands as surface states corresponding to the 1D topological number. Finally, as an example, we demonstrate nonsymmorphic-symmetry-protected gap structures in the model of Sr\(_2\)IrO\(_4\) (Sect. 3.3).

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Title: Superconducting Gap Classification on High-Symmetry Planes
Author: Dr. Shuntaro Sumita
Publisher: Springer Singapore
Book: Modern Classification Theory of Superconducting Gap Nodes
Print ISBN: 978-981-334-263-7

Electronic ISBN: 978-981-334-264-4

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-981-33-4264-4_3

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