The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
Open accessAbstract
Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter values far from those corresponding to gap closings in periodic systems without boundaries. Here, we provide a comprehensive framework to unravel this disparity based on the notion of biorthogonal quantum mechanics: While the properties of the left and right eigenstates corresponding to boundary modes are individually decoupled from the bulk physics in non-Hermitian systems, their combined biorthogonal density penetrates the bulk precisely when phase transitions occur. This leads to generalized bulk-boundary correspondence and a quantized biorthogonal polarization that is formulated directly in systems with open boundaries. We illustrate our general insights by deriving the phase diagram for several microscopic open boundary models, including exactly solvable non-Hermitian extensions of the Su-Schrieffer-Heeger model and Chern insulators.
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
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Making sense of non-Hermitian Hamiltonians
Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
Quantized electric multipole insulators
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Science · doi:10.1126/science.aah6442 · Cited by 2,029
Colloquium : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587
Biorthogonal quantum mechanics
Brody, D. C. (2014) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/47/3/035305 · Cited by 573
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
Self-citationNon-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 Topological Invariants in Real Space
Song, F., Yao, S., & Wang, Z. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.246801 · Cited by 482
Classification of Exceptional Points and Non-Hermitian Topological Semimetals
Kawabata, K., Bessho, T., & Sato, M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.066405 · Cited by 404
Non-Hermitian Topological Sensors
Budich, J. C., & Bergholtz, E. J. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.180403 · Cited by 394
Self-citation
Metadata
- Authors
- Kunst, F. K., Edvardsson, E., Budich, J. C., & Bergholtz, E. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-07-11
- Volume
- 121
- Issue
- 2
- Pages
- 026808-026808
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2804805963
- Cited by
- 1,341
- References
- 6
- FWCI
- 52.11
- Type
- journal article
- Language
- en
- Open access
- green
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: Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems. https://app.cochat.ai/papers/10.1103/physrevlett.121.026808
- The paper
- Kunst, F. K., Edvardsson, E., Budich, J. C., & Bergholtz, E. J. (2018). Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.121.026808
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.
