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Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
- Source :
- Physical Review B
- Publication Year :
- 2022
- Publisher :
- American Physical Society (APS), 2022.
-
Abstract
- We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconductors with inversion symmetry can be gapped without symmetry breaking upon the introduction of non-Abelian surface topological order. In each case, the fractionalization pattern that appears on surface is `anomalous' in the sense that it can be made consistent with symmetry only on the surface of a three dimensional higher-order insulator/superconductor. Our results show that the interacting manifestation of higher-order topology is the appearance of `anomalous gapped boundaries' between distinct topological orders whose quasiparticles are related by inversion, possibly in conjunction with other protecting symmetries such as TRS and charge conservation.<br />19 pages, 4 figures
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 106
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....089c77c207e06d217667a23baf3a6595