The DOI matches its Crossref record; 66 of the 66 references it cites were found in a registry or an index.
Non-Hermitian Boundary Modes and Topology
Open accessAbstract
We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic perspective on the appearance of such modes and generate corresponding dispersion relations. In the process, we explain the skin effect in both topological and nontopological systems, exhaustively generalizing bulk-boundary correspondence to different types of non-Hermitian gap conditions, a prominent distinguishing feature of such systems. Indeed, we expose a direct relation between the presence of a point gap invariant and the appearance of skin modes when this gap is trivialized by an edge. This correspondence is established via a doubled Green's function, inspired by doubled Hamiltonian methods used to classify Floquet and, more recently, non-Hermitian topological phases. Our work constitutes a general tool, as well as a unifying perspective for this rapidly evolving field. Indeed, as a concrete application we find that our method can expose novel non-Hermitian topological regimes beyond the reach of previous methods.
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Cites
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Non-Hermitian physics and PT symmetry
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Edge States and Topological Invariants of Non-Hermitian Systems
Yao, S., & Wang, Z. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.086803 · Cited by 2,204
Topological Crystalline Insulators
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Cited by
Exceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Non-Hermitian bulk–boundary correspondence in quantum dynamics
Xiao, L., Deng, T., Wang, K., Zhu, G., Wang, Z., Yi, W., & Xue, P. (2020) · Nature Physics · doi:10.1038/s41567-020-0836-6 · Cited by 855
Non-Hermitian Bulk-Boundary Correspondence and Auxiliary Generalized Brillouin Zone Theory
Yang, Z., Zhang, K., Fang, C., & Hu, J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.226402 · Cited by 522
Universal non-Hermitian skin effect in two and higher dimensions
Zhang, K., Yang, Z., & Fang, C. (2022) · Nature Communications · doi:10.1038/s41467-022-30161-6 · Cited by 417
Non-Hermitian Topological Phenomena: A Review
Okuma, N., & Sato, M. (2023) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-040521-033133 · Cited by 369
Metadata
- Authors
- Borgnia, D. S., Kruchkov, A. J., & Slager, R.-J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2020-02-07
- Volume
- 124
- Issue
- 5
- Pages
- 056802-056802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2916939830
- Cited by
- 869
- References
- 66
- FWCI
- 47.04
- Type
- journal article
- Language
- en
- Open access
- green
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