SciPost Submission Page
Hybrid symmetry class topological insulators
by Sanjib Kumar Das, Bitan Roy
Submission summary
| Authors (as registered SciPost users): | Bitan Roy |
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| Preprint Link: | scipost_202403_00040v1 (pdf) |
| Date submitted: | 2024-03-29 17:47 |
| Submitted by: | Roy, Bitan |
| Submitted to: | SciPost Physics |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Traditional topological materials belong to different Altland-Zirnbauer symmetry classes (AZSCs) depending on their non-spatial symmetries. Here we introduce the notion of hybrid symmetry class topological insulators (HSCTIs): A fusion of two different AZSC topological insulators (TIs) such that they occupy orthogonal Cartesian hyperplanes and their universal massive Dirac Hamiltonian mutually anticommute. The boundaries of HSCTIs can also harbor TIs, typically affiliated with an AZSC different from the parent ones. As such, a fusion between planar quantum spin Hall and vertical Su-Schrieffer-Heeger insulators gives birth to a three-dimensional HSCTI, accommodating quantum anomalous Hall insulators and quantized Hall conductivity on the top and bottom surfaces. Such a response is shown to be stable against weak disorder. We extend this construction to encompass crystalline HSCTI and topological superconductors, and beyond three dimensions. Possible (meta)material platforms to harness HSCTIs are discussed.