The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
Open accessAbstract
Surface impedance of a photonic material governs how an impinging light wave behaves at its surface, whereas its bulk ``band structure'' determines what wave modes can propagate in it. Is there a surface-to-bulk correspondence? A new study of one-dimensional photonic crystals indeed uncovers a rigorous fundamental relationship between the two.
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
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783
Solitons in conducting polymers
Heeger, A. J., Kivelson, S., Schrieffer, J. R., & Su, W. P. (1988) · Reviews of Modern Physics · doi:10.1103/revmodphys.60.781 · Cited by 3,818
Soliton excitations in polyacetylene
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1980) · Physical Review B · doi:10.1103/physrevb.22.2099 · Cited by 3,143
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Haldane, F. D. M., & Raghu, S. (2005) · arXiv · doi:10.48550/arxiv.cond-mat/0503588 · Cited by 2,739
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950
Chern number and edge states in the integer quantum Hall effect
Hatsugai, Y. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3697 · Cited by 1,499
Analogs of quantum-Hall-effect edge states in photonic crystals
Raghu, S., & Haldane, F. D. M. (2008) · Physical Review A · doi:10.1103/physreva.78.033834 · Cited by 1,290
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
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Topological phases in acoustic and mechanical systems
Ma, G., Xiao, M., & Chan, C. T. (2019) · Nature Reviews Physics · doi:10.1038/s42254-019-0030-x · Cited by 830
Self-citationObservation of topological edge states in parity–time-symmetric quantum walks
Xiao, L., Zhan, X., Bian, Z. H., Wang, K. K., Zhang, X., Wang, X. P., Li, J., Mochizuki, K., Kim, D., Kawakami, N., et al. (2017) · Nature Physics · doi:10.1038/nphys4204 · Cited by 576
Direct Observation of Corner States in Second-Order Topological Photonic Crystal Slabs
Chen, X.-D., Deng, W.-M., Shi, F.-L., Zhao, F.-L., Chen, M., & Dong, J.-W. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.233902 · Cited by 560
Metadata
- Authors
- Xiao, M., Zhang, Z. Q., & Chan, C. T.
- Venue
- Physical Review X
- Publisher
- American Physical Society (APS)
- Published
- 2014-04-25
- Volume
- 4
- Issue
- 2
- ISSN
- 2160-3308 (ISSN-L)
- OpenAlex
- W2024866259
- Cited by
- 548
- References
- 21
- FWCI
- 7.15
- Type
- journal article
- Language
- en
- Open access
- gold
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: Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems. https://app.cochat.ai/papers/10.1103/physrevx.4.021017
- The paper
- Xiao, M., Zhang, Z. Q., & Chan, C. T. (2014). Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems. Physical Review X. https://doi.org/10.1103/physrevx.4.021017
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.