The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
Open accessAbstract
The chiral AIII symmetry class in the classification table of topological insulators contains topological phases classified by a winding number ν for each odd space dimension. An open problem for this class is the characterization of the phases and phase boundaries in the presence of strong disorder. In this work, we derive a covariant real-space formula for ν and, using an explicit one-dimensional disordered topological model, we show that ν remains quantized and nonfluctuating when disorder is turned on, even though the bulk energy spectrum is completely localized. Furthermore, ν remains robust even after the insulating gap is filled with localized states, but when the disorder is increased even further, an abrupt change of ν to a trivial value is observed. Using exact analytic calculations, we show that this marks a critical point where the localization length diverges. As such, in the presence of disorder, the AIII class displays markedly different physics from everything known to date, with robust invariants being carried entirely by localized states and bulk extended states emerging from an absolutely localized spectrum. Detailed maps and a clear physical description of the phases and phase boundaries are presented based on numerical and exact analytic calculations.
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Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Topological protection of photonic mid-gap defect modes
Noh, J., Benalcazar, W. A., Huang, S., Collins, M. J., Chen, K. P., Hughes, T. L., & Rechtsman, M. C. (2018) · Nature Photonics · doi:10.1038/s41566-018-0179-3 · Cited by 630
Self-citationObservation of the topological soliton state in the Su–Schrieffer–Heeger model
Meier, E. J., An, F. A., & Gadway, B. (2016) · Nature Communications · doi:10.1038/ncomms13986 · Cited by 494
Observation of the topological Anderson insulator in disordered atomic wires
Meier, E. J., An, F. A., Dauphin, A., Maffei, M., Massignan, P., Hughes, T. L., & Gadway, B. (2018) · Science · doi:10.1126/science.aat3406 · Cited by 365
Self-citationBulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
Prodan, E., & Schulz-Baldes, H. (2016) · Mathematical Physics Studies · doi:10.1007/978-3-319-29351-6 · Cited by 242
Self-citation
Metadata
- Authors
- Mondragon-Shem, I., Hughes, T. L., Song, J., & Prodan, E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-07-23
- Volume
- 113
- Issue
- 4
- Pages
- 046802-046802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1972033316
- Cited by
- 279
- References
- 43
- FWCI
- 4.33
- Type
- journal article
- Language
- en
- Open access
- green
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