Observation of a Topological Transition in the Bulk of a Non-Hermitian System

Quantum Spin Hall Effect in Graphene

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A topological Dirac insulator in a quantum spin Hall phase

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Photonic Floquet topological insulators

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Observation of unidirectional backscattering-immune topological electromagnetic states

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Quantum mechanics (non relativistic theory)

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Topological robustness of a high-power narrow linewidth semiconductor laser based on the Su–Schrieffer–Heeger model

Dai, Y., Fu, T., Chen, J., Tang, C. G., Wang, X., Wang, Y., & Zheng, W. (2025) · Applied Optics · doi:10.1364/ao.559654 · Cited by 2

Non-Lumped Microwave Topolectrical Resonator Based on the Su–Schrieffer–Heeger Model

Yu, C., & Zhang, X. (2025) · Chinese Physics Letters · doi:10.1088/0256-307x/42/7/070704 · Cited by 2

Homodyne measurement of a non-Hermitian qubit undergoing spontaneous emission

Nongthombam, R., & Sarma, A. K. (2026) · Physical Review A · doi:10.1103/gv74-cktg · Cited by 2

Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features

Chang, C.-K., Saito, K., Ōkuma, N., Kao, H.-C., & Hsu, C.-H. (2026) · Physical Review Research · doi:10.1103/v5k2-1vj9 · Cited by 2

Nonadiabatic dynamics in non-Hermitian quantum systems from the quantum metric perspective

Zhang, X., Hu, K., & Li, F. (2025) · Physical review. B./Physical review. B · doi:10.1103/f5k4-l93p · Cited by 2

Helical metasurfaces based on topological surface states in three-dimensional photonic topological insulators

Zhirihin, D. V., Sidorenko, M. S., Rozenblit, A. D., Kurganov, G. D., Gorlach, M. A., Filonov, D., Kivshar, Y. S., & Slobozhanyuk, A. P. (2026) · Nature Materials · doi:10.1038/s41563-026-02488-8 · Cited by 3

Topological Protection of Quantum States in Silicon

Blanco‐Redondo, A., Bell, B. A., Collins, M. J., Rechstman, M., Segev, M., & Eggleton, B. J. (2016) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_at.2016.jth4a.1 · Cited by 2

Optical evidence for non-Hermitian topological phases of two-dimensional Dirac fermions

Jiang, P., Wang, W., Liu, J.-F., & Ma, Z. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.245407 · Cited by 2

Impact of PT -symmetric imaginary potentials on edge states of one-dimensional rhombus lattice

Kong, Z.-X., Li, J., Zhang, S.-F., & Zhang, L.-L. (2022) · Results in Physics · doi:10.1016/j.rinp.2022.105674 · Cited by 1

Transport characteristics of a $${\mathcal {PT}}$$-symmetric non-Hermitian system: effect of environmental interaction

Ganguly, S., Roy, S., & Maiti, S. K. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-03016-8 · Cited by 2

Mixed state behavior of Hermitian and non-Hermitian topological models with extended couplings

Kartik, Y. R., & Sarkar, S. (2023) · Scientific Reports · doi:10.1038/s41598-023-33449-9 · Cited by 2

Edge states and skin effect dependent electron transport properties of non-Hermitian Su-Schrieffer-Heeger chain

Yang, Y.-L., Duan, Z.-L., & Xue, H.-B. (2023) · Acta Physica Sinica · doi:10.7498/aps.72.20231286 · Cited by 2

PT -symmetric non-Hermitian Hopf metal

Pak, S., Yeom, C. H., Verma, S., & Park, M. J. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.l012053 · Cited by 2

Reentrant localized bulk and localized-extended edge in quasiperiodic non-Hermitian systems

Guo, G.-F., Bao, X.-X., Tan, L., & Liu, W. (2024) · Acta Physica Sinica · doi:10.7498/aps.74.20240933 · Cited by 2

Acoustic Su–Schrieffer–Heeger chain with phase nonreciprocal couplings

Guo, T., Cao, L., Assouar, B. M., Vincent, B., & Merkel, A. (2025) · Journal of Applied Physics · doi:10.1063/5.0254537 · Cited by 2

Local non-Hermitian Hamiltonian formalism for dissipative fermionic systems and loss-induced population increase in Fermi superfluids

Xiao, T., & Gentaro Watanabe, A. (2025) · iScience · doi:10.1016/j.isci.2025.112641 · Cited by 3

Non-Hermitian Hopf insulators

Nakamura, D., & Kawabata, K. (2025) · Physical review. B./Physical review. B · doi:10.1103/ygz9-xjyx · Cited by 2

Skin-effect localization and maximal-order exceptional points in reciprocal Floquet lattices

Apostolidis, A. G., Nye, N. S., Kantartzis, N. V., Christodoulides, D. N., & Pyrialakos, G. G. (2025) · Communications Physics · doi:10.1038/s42005-025-02279-8 · Cited by 2

Topological invariants of nonunitary quantum walk with chiral symmetry

Wang, Q., & Li, Z.-J. (2022) · Results in Physics · doi:10.1016/j.rinp.2022.105279 · Cited by 2

Controllable asymmetric diffraction grating with PT symmetry in quantum dot molecules

Hu, Y., Sun, R., Cheng, G., & Chen, A. (2022) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-022-02877-3 · Cited by 2

Reconfigurable topological phases in photoexcited graphene nanoribbon arrays

Zhang, W., Wu, T., & Zhang, X. (2018) · Journal of Optics · doi:10.1088/2040-8986/aada5b · Cited by 2

Viewpoint: Non-Hermitian Topological Systems

Bandres, M. A., & Segev, M. (2018) · Cited by 2

Topological phase transition in cavity optomechanical system with periodical modulation

Zhang, Z.-X., Qi, L., Cui, W., Zhang, S., & Wang, H. (2022) · Chinese Physics B · doi:10.1088/1674-1056/ac4a6a · Cited by 2

Band structure of the one-dimensional spin–orbit-coupled Su–Schrieffer–Heeger lattice with PT -symmetric onsite imaginary potentials

Li, J., Wang, Z., & Zhang, L.-L. (2022) · Annals of Physics · doi:10.1016/j.aop.2022.169165 · Cited by 2

The second-order coherence analysis of number state propagation through dispersive non-Hermitian multilayered structures

Pilehvar, E., Amooghorban, E., & Moravvej‐Farshi, M. K. (2024) · Scientific Reports · doi:10.1038/s41598-024-55777-0 · Cited by 2

Coherent transfer of topological interface states

Comaron, P., Shahnazaryan, V., & Matuszewski, M. (2020) · Optics Express · doi:10.1364/oe.409715 · Cited by 2

Floquet Spectrum and Dynamics for Non-Hermitian Floquet One-Dimension Lattice Model

Zhang, Y., Xu, S., Liu, H.-D., & Yi, X. X. (2021) · International Journal of Theoretical Physics · doi:10.1007/s10773-020-04699-4 · Cited by 2

Observation of the topological phase transition from the spatial correlation of a biphoton in a one-dimensional topological photonic waveguide array

Yang, Y. H., & Cao, D. (2022) · Optics Express · doi:10.1364/oe.471703 · Cited by 1

基于非厄密拓扑效应的无线传能与传感研究

Zhiwei, 郭. G., Shengyu, 胡. H., Haiyan, 张. Z., Yuqian, 王. W., Lijuan, 董. D., Yong, 孙. S., Yunhui, 李. L., Haitao, 江. J., Yaping, 羊. Y., & Hong, 陈. C. (2023) · Acta Optica Sinica · doi:10.3788/aos230850 · Cited by 1

Topological Photonic Crystal in Microwave Region Based on Coupled Superconducting Resonators

Zheng, T., Chang, X., Huang, J. Q., Liu, Y., Wei, J., & Guo, Q. (2024) · Symmetry · doi:10.3390/sym16040453 · Cited by 2

Band structure of the one-dimensional tetrameric Kitaev chain induced by imaginary potentials

Song, W.-D., Li, J., Song, Y.-S., Chen, J., & Gong, W. (2024) · Annals of Physics · doi:10.1016/j.aop.2024.169693 · Cited by 1

Integrated topological photonics in one dimension

Hotte-Kilburn, A., & Bianucci, P. (2025) · Advances in Physics X · doi:10.1080/23746149.2025.2476417 · Cited by 2

Topological Metal‐Insulator Phase Transition in A Square Lattice Model

Liu, L., Hu, K., Zhang, Z., Cao, J., Cui, W., Zhang, S., & Wang, H. (2025) · Advanced Quantum Technologies · doi:10.1002/qute.202500381 · Cited by 1

Flux‐Driven Circular Current in a Non‐Hermitian Dimerized Aharonov–Bohm Ring: Impact of Physical Gain and Loss

Roy, S., & Maiti, S. K. (2025) · Annalen der Physik · doi:10.1002/andp.202500217 · Cited by 1

Dynamical transition in non-Hermitian Chern insulators

Zhang, Z., Ren, Y.-H., Lu, M., & Jiang, H. W. (2025) · Physical review. B./Physical review. B · doi:10.1103/kdd6-nnrf · Cited by 1

Multiblock exceptional points in open quantum systems

Shiralieva, A., Starkov, G. A., & Trauzettel, B. (2026) · Physical Review A · doi:10.1103/gtw6-yn95 · Cited by 1

Topological enhancement of a PT -symmetric Su-Schrieffer-Heeger quantum battery

Zhou, A.-L., Xiao, Y.-W., Xu, N. X., Gao, L.-L., Li, L.-J., Zhou, H., Li, Z.-M., & Shu, C. (2026) · Physical Review A · doi:10.1103/4klp-kw27 · Cited by 1

Study on multi-bandgaps and elastic wave suppression characteristics of sawtooth-shaped acoustic metamaterials

Zhang, D., Zheng, Q., Zhao, L., & Sun, Y. (2026) · Mechanics of Advanced Materials and Structures · doi:10.1080/15376494.2025.2588809 · Cited by 1

Beyond predicting existence: Unified winding numbers for topological edge states in non-Hermitian quadripartite lattices

Wei, Y., Ruan, Y., Wu, G., Li, L., Chen, S., Lin, T., & Ni, Z. (2026) · Physical review. B./Physical review. B · doi:10.1103/h5wk-8cdl · Cited by 1

Realizing a topological staggered Su-Schrieffer-Heeger ladder with atomic momentum lattice

Mao, Y.-Y., Zeng, C., Wu, F.-F., Xie, Y.-J., Yuan, T., Chen, Y.-A., Dai, H.-N., & Pan, J.-W. (2026) · Physical Review Research · doi:10.1103/3r1y-81lc · Cited by 1

Frustrated Non‐Hermitian Skin Effect in a Floquet Photonic System

Wang, F., Wan, T., Wu, Z., Hou, X., Fleming, C., Yang, Z., & Ge, L. (2026) · Laser & Photonics Review · doi:10.1002/lpor.71723 · Cited by 1

PT symmetry breaking in the presence of random, periodic, long-range hopping

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Transmission through a one-dimensional photonic lattice modulated by the side-coupled PT-symmetric non-Hermitian Su–Schrieffer–Heeger chain

Huang, P.-P., He, J., Li, J., Wu, H., Zhang, L.-L., Jin, Z., & Gong, W. (2021) · Journal of the Optical Society of America B · doi:10.1364/josab.411989 · Cited by 1

Death and rebirth through nonlinear control

Roztocki, P., & Morandotti, R. (2021) · Science · doi:10.1126/science.abg5441 · Cited by 1

Quantum transport in nonlinear Rudner-Levitov models

Du, L., Wu, J., Artoni, M., & Rocca, G. C. L. (2022) · Physical Review A · doi:10.1103/physreva.105.052205 · Cited by 1

Topological properties of the one-dimensional \begin{document}${\cal {PT}}$\end{document} -symmetric non-Hermitian spin-orbit-coupled Su-Schrieffer-Heeger model

Li, J., Wang, Z., Xu, T., Zhang, L.-L., & Gong, W. (2022) · Acta Physica Sinica · doi:10.7498/aps.71.20220796 · Cited by 1

The size effect and analogous boundary states in a circular non-Hermitian chain

Ma, X., Guan, Y.-H., Li, Q.-N., He, A., & Qi, L. (2023) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ad1679 · Cited by 1

Band topology and symmetry in pseudo-Hermitian systems

Karami, M., Sadeghi, E., & Zamani, P. (2024) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2024.115941 · Cited by 1

光波导阵列中拓扑态及其应用的研究进展

Wei, R., Kang, J., Zhang, Q., Qiu, J., Zhongmin, Y., & Guoping, D. (2024) · Chinese Science Bulletin (Chinese Version) · doi:10.1360/tb-2023-1276

Topological phase transitions and edge-state transfer in time-multiplexed quantum walks

Wang, H., Xu, Z., & Li, Z.-J. (2025) · Physical Review A · doi:10.1103/sb89-p5rl · Cited by 1

Wave Propagation and Localization in a Complex Random Potential with Power-law Correlations: A Numerical Study

Nguyen, B. P., & Dang, H. D. (2020) · VNU Journal of Science Mathematics - Physics · doi:10.25073/2588-1124/vnumap.4498 · Cited by 1

The quantum phase transitions of dimer chain driven by an imaginary alternating field

Liu, C. S. (2021) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2021.114871 · Cited by 1

Non-Hermitian off-diagonal magnetic response of Dirac fermions

Kiss, R. Z., Sticlet, D., Moca, C. P., & Dóra, B. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.165411 · Cited by 1

Controlling scattering of light through topological transitions in all-dielectric metasurfacesPreprint

Gorlach, M. A., Ni, X., Smirnova, D. A., Korobkin, D., Slobozhanyuk, A. P., Zhirihin, D. V., Belov, P. A., Alù, A., & Khanikaev, A. B. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1705.04236 · Cited by 1

Simulation and bulk detection of topological phases of matter

Maffei, M. (2019) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-129268 · Cited by 1

A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systemsPreprint

Ghatak, A., & Das, T. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1907.07333 · Cited by 1

Tunable tachyon mass in the PT-broken massive Thirring modelPreprint

Liégeois, B., Chitra, R., & Defenu, N. (2022) · arXiv (Cornell University) · doi:10.3929/ethz-b-000649782 · Cited by 1

Light Confinement by Local Index Tailoring in Inhomogeneous Dielectrics

Krešić, I., Makris, K. G., & Rotter, S. (2021) · Laser & Photonics Review · doi:10.1002/lpor.202100115 · Cited by 3

Topological Phase Transitions and Thouless Pumping of Light in Photonic LatticesPreprint

Ke, Y., Qin, X., Mei, F., Zhong, H., Kivshar, Y. S., & Lee, C. (2016) · arXiv (Cornell University)

Topological Optical Waveguiding in Silicon and Beating between Trivial and Topological Defect Modes

Blanco‐Redondo, A., Andonegui, I., Collins, M. J., Harari, G., Lumer, Y., Rechtsman, M. C., Eggleton, B. J., & Segev, M. (2016) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2016.fm3a.5

Topological optical waveguiding in SOI structures

Andonegui, I., Blanco‐Redondo, A., Collins, M. J., Harari, G., Lumer, Y., Rechtsman, M. C., Eggleton, B. J., Segev, M., & García-Adeva, Á. J. (2016) · International Conference on Transparent Optical Networks · doi:10.1109/icton.2016.7550431

Measuring the Topological Phase Through the Interface States Between Metasurfaces and Photonic Crystals

Wang, Q., Xiao, M., Liu, H., Zhu, S. N., & Chan, C. T. (2016) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2016.ff1d.7

Exploring topological phases in quantum walks of twisted light

Cardano, F. (2017) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.2251367

Extending edge modes with non-Hermitian forcing

Sheinfux, H. H., Lustig, E., Lumer, Y., Pltonik, Y., & Segev, M. (2017) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_qels.2017.fm1g.4

Computing eigenfunctions and eigenvalues of boundary-value problems with the orthogonal spectral renormalization method

Cartarius, H., Musslimani, Z. H., Schwarz, L., & Wunner, G. (2018) · Physical Review A · doi:10.1103/physreva.97.032134

Analytic theory of coupled waveguide transformation under randomly perturbationsPreprint

Saygin, M. Y. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1805.03889

Seeing Topological Order and Band Inversion in Optical Diatomic ChainPreprint

Jiang, J., Guo, Z., Zhu, W., Long, Y., Jiang, H., Ren, J., & Chen, H. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1809.04986

Engineering zero modes, Fano resonance and Tamm surface states of 'bound states in the gapped continuum'Preprint

Yang, Y. H., & Pan, Y. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1811.12209

Topology with broken parity-time symmetryPreprint

Xiao, L., Qiu, X., Wang, K., Sanders, B. C., Yi, W., & Xue, P. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1906.07468 · Cited by 2

Non-Abelian Berry Gauge Field and Topological Invariant in Parity-Time Symmetric Non-Hermitian Spin-1/2 Quantum SystemsPreprint

Ghatak, A., & Das, T. (2019) · arXiv (Cornell University)

Topological Insulator Laser

Harari, G., Bandres, M. A., Wittek, S., Parto, M., Christodoulides, D. N., Khajavikhan, M., & Segev, M. (2019) · Microoptics Conference · doi:10.23919/moc46630.2019.8982765

Nonlinear, non-Hermitian and high-dimensional classical topological systems

Wang, Y. (2019) · DR-NTU (Nanyang Technological University) · doi:10.32657/10356/137124

Artificial Magnetism and Topological Phenomena in Optics

Parto, M. (2019) · Journal of International Crisis and Risk Communication Research

Large Chern numbers in a dissipative dice modelPreprint

Cheng, S., & Xianlong, G. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2009.05763

Waveguide Arrays and Optical Analogies

Quandt, A., Pelwan, C. D., & Warmbier, R. (2020) · International Conference on Transparent Optical Networks · doi:10.1109/icton51198.2020.9203041

Study on several novel topological phases in classical wave systems

Xue, H. (2020) · DR-NTU (Nanyang Technological University) · doi:10.32657/10356/145825

High winding number of topological phase in non-unitary periodic quantum walk*

Jia, Y., & Li, Z.-J. (2021) · Chinese Physics B · doi:10.1088/1674-1056/abf554

Shannon Entropy and Diffusion Coefficient in Parity-Time Symmetric Quantum Walks

Tian, Z.-Y., Liu, Y., & Luo, L. (2021) · Entropy · doi:10.3390/e23091145

Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplingsPreprint

Zhang, Y., Nie, W., & Liu, Y.-X. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2109.04694

Topological Classical Wave Systems With Modulations, Interactions, and Higher-order Topological States

Li, M. (2021) · CUNY Academic Works (City University of New York)

Dimerization induced mobility edges and multiple localization transitions in non-Hermitian quasicrystalsPreprint

Han, W., & Zhou, L. (2021) · arXiv (Cornell University)

Observing multifarious topological phase transitions with real‐space indicator

Lu, Y., Wang, Y., Mei, F., Chang, Y., Zheng, H., Jia, S., & Jin, X. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0559

Photonic quantum Hall effects

Leykam, D., & Smirnova, D. A. (2022) · Elsevier eBooks · doi:10.1016/b978-0-323-90800-9.00125-6 · Cited by 1

Non-Hermitian photonics physics and application

Liu, D. (2023) · doi:10.32657/10356/166330

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Quantum Entanglement in Non-Hermitian Hubbard ModelPreprint

Lima, L. S. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4496907

Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description

Dóra, B., & Moessner, R. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.l121105

The size effect and analogous boundary states in a periodic non-Hermitian chainPreprint

Ma, X., Li, Q.-N., Guan, Y.-H., Qi, L., & He, A. (2023) · Research Square · doi:10.21203/rs.3.rs-3316182/v1

Report on 2207.12427v2

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Report on 2207.12427v2

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Report on 2207.12427v3

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Localization with non-Hermitian off-diagonal disorder

Saha, A., & Rakshit, D. (2026) · Physica B Condensed Matter · doi:10.1016/j.physb.2026.418289

PT− symmetric tight-binding 1D chains: Coupling to the continuum and superradiance transition

Moreno-Rodríguez, L. A., Mendez-Bermudez, J. A., & Izrailev, F. M. (2024) · Optics Communications · doi:10.1016/j.optcom.2024.130500

Long-term evolution of non-Hermitian systems in quantum-walk dynamics

Yu, X., Huang, P.-L., Fu, P.-H., & Wu, J. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.115158

Utilizing lagging-phase analysis to identify topological phase transitions in 1D chains

Qiao, S. (2024) · Journal of Applied Physics · doi:10.1063/5.0208710

Anderson localized transport in non-Hermitian spoof surface plasmon polariton structures

Sahoo, H., Vijay, R., & Mujumdar, S. A. (2024) · AIP Advances · doi:10.1063/5.0209855

Non-Hermitian Phase Transition in All-Dielectric Apodized One-Dimensional Photonic Crystals

Sharma, S., Mondal, A., & Das, R. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-981-97-6164-7_5

Observation of topology of non-Hermitian systems without chiral symmetry

王, S. 硕. W., 康, Z. 正. K., 李, H. 浩. L., 李, J. 姣. L., Zhang, Y., & Luo, Z. (2025) · Chinese Physics B · doi:10.1088/1674-1056/addcc1

Band structure of the one-dimensional longer-range Su–Schrieffer–Heeger model regulated by multiple non-Hermitian mechanisms

Wang, J.-H., Zheng, H.-N., Li, J., & Zhang, L.-L. (2025) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-025-06631-3

Self-attention assistant classification of non-Hermitian phases on a two-dimensional lattice

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Probing topological invariants in the bulk of a non-Hermitian optical systemPreprint

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Observation of non-Hermitian topology and its bulk-edge correspondencePreprint

Ghatak, A., Brandenbourger, M., van Wezel, J., & Coulais, C. (2019) · arXiv (Cornell University) · Cited by 33

Topological states of non-Hermitian systems

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Topological Phase Transition in the Non-Hermitian Coupled Resonator Array

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