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28 March 2024 |
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Article overview
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Bulk Invariants and Topological Response in Insulators and Superconductors with Nonsymmorphic Symmetries | Daniel Varjas
; Fernando de Juan
; Yuan-Ming Lu
; | Date: |
3 Jul 2015 | Abstract: | In this work we consider whether nonsymmorphic symmetries such as a glide
plane can protect the existence of topological crystalline insulators and
superconductors in three dimensions. In analogy to time-reversal symmetric
insulators, we show that the presence of a glide gives rise to a quantized
magnetoelectric polarizability, which we compute explicitly through the
Chern-Simons 3-form of the bulk wavefunctions for a glide symmetric model. Our
approach provides a measurable property for this insulator and naturally
explains the connection with mirror symmetry protected insulators and the
recently proposed $Z_2$ index for this phase. We also construct analogous
examples of glide protected topological crystalline superconductors in classes
D and C and discuss how bulk invariants are related to quantized surface
thermal-Hall and spin-Hall responses. | Source: | arXiv, 1507.0984 | Services: | Forum | Review | PDF | Favorites |
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