The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Anomalous Edge State in a Non-Hermitian Lattice
Open accessAbstract
We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is described by a non-Hermitian Hamiltonian that encircles an exceptional point in momentum space. The winding number has a fractional value of 1/2. There is only one dynamically stable zero-energy edge state due to the defectiveness of the Hamiltonian. This edge state is robust to disorder due to protection by a chiral symmetry. We also discuss experimental realization with arrays of coupled resonator optical waveguides.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466
Topological States and Adiabatic Pumping in Quasicrystals
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M., & Zilberberg, O. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.106402 · Cited by 1,165
Spawning rings of exceptional points out of Dirac cones
Zhen, B., Hsu, C. W., Igarashi, Y., Lu, L., Kaminer, I., Pick, A., Chua, S.-L., Joannopoulos, J. D., & Soljačić, M. (2015) · Nature · doi:10.1038/nature14889 · Cited by 861
Observation of a Topological Transition in the Bulk of a Non-Hermitian System
Zeuner, J. M., Rechtsman, M. C., Plotnik, Y., Lumer, Y., Nolte, S., Rudner, M. S., Segev, M., & Szameit, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.040402 · Cited by 730
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
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
Edge-Mode Lasing in 1D Topological Active Arrays
Parto, M., Wittek, S., Hodaei, H., Harari, G., Bandres, M. A., Ren, J., Rechtsman, M. C., Segev, M., Christodoulides, D. N., & Khajavikhan, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.113901 · Cited by 533
Non-Hermitian Topological Invariants in Real Space
Song, F., Yao, S., & Wang, Z. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.246801 · Cited by 482
Metadata
- Authors
- Lee, T. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2016-04-01
- Volume
- 116
- Issue
- 13
- Pages
- 133903-133903
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2297830556
- Cited by
- 1,065
- References
- 7
- FWCI
- 24.77
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Anomalous Edge State in a Non-Hermitian Lattice. https://app.cochat.ai/papers/10.1103/physrevlett.116.133903
- The paper
- Lee, T. E. (2016). Anomalous Edge State in a Non-Hermitian Lattice. Physical Review Letters. https://doi.org/10.1103/physrevlett.116.133903
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
