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.
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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
Analytic Properties of Bloch Waves and Wannier Functions
Kohn, W. (1959) · Physical Review · doi:10.1103/physrev.115.809 · Cited by 1,132
Optical Waves in Crystals: Propagation and Control of Laser Radiation
Yariv, A., & Yeh, P. (1983) · Cited by 1,100
Rudner, M. S., Lindner, N. H., Berg, E., & Levin, M. (2013) · Physical Review X · doi:10.1103/physrevx.3.031005 · Cited by 911
Regnault, N., & Bernevig, B. A. (2011) · Physical Review X · doi:10.1103/physrevx.1.021014 · Cited by 608
Introductory Quantum Mechanics
Liboff, R. L. (2025) · Royal Society of Chemistry eBooks · doi:10.1039/9781837678785-00354 · Cited by 606
Manifestations of Berry's phase in molecules and condensed matter
Resta, R. (2000) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/12/9/201 · Cited by 318
Hatsugai, Y., Fukui, T., & Aoki, H. (2006) · Physical Review B · doi:10.1103/physrevb.74.205414 · Cited by 202
Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem
Raman, A., & Fan, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.087401 · Cited by 199
Supersymmetry in heterojunctions: Band-inverting contact on the basis of Pb1xSnxTe and Hg1xCdxTe
Pankratov, O. A., Pakhomov, S. V., & Volkov, B. A. (1987) · Solid State Communications · doi:10.1016/0038-1098(87)90934-3 · Cited by 184
Introductory quantum mechanics
Oppermann, R. H. (1939) · Journal of the Franklin Institute · doi:10.1016/s0016-0032(39)90376-5 · Cited by 168
Photonic-crystal surface modes found from impedances
Lawrence, F. J., Botten, L. C., Dossou, K. B., McPhedran, R. C., & de Sterke, C. M. (2010) · Physical Review A · doi:10.1103/physreva.82.053840 · Cited by 37
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
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