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Twist-induced non-Hermitian topology of exciton–polaritons

Abstract

Non-Hermitian physics has recently transformed our understanding of topology by uncovering a range of effects that are unique to systems with gain and loss. The realization of non-Hermitian topology in strongly coupled light–matter systems not only offers degrees of freedom for the enhanced manipulation of topological phenomena, but is also promising for developing on-chip active photonic devices. Exciton–polaritons—strongly coupled quasiparticles from excitons and photons—emerge as a promising candidate with intrinsic non-Hermitian features. However, limited by the challenges in achieving non-reciprocity, the experimental observation of non-Hermitian topology and its associated transport features has remained elusive. Here we experimentally demonstrate the non-Hermitian topology of exciton–polaritons induced by a twist degree of freedom in a liquid-crystal-filled CsPbBr3 perovskite microcavity at room temperature. The geometric twist between birefringent perovskites and liquid crystals acts as a degree of freedom to tailor the polaritonic complex spectra, leading to non-Hermitian bands with spectral winding topology and non-reciprocity. Furthermore, the induced non-Hermitian topology gives rise to the non-Hermitian exciton–polariton skin effect in real space, manifesting as polariton accumulation at open boundaries. Our findings open new perspectives on tunable non-Hermitian phenomena and the development of on-chip polaritonic devices with enhanced functionalities.

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Fig. 1: Theoretical description of non-Hermitian topologically trivial exciton–polaritons.
Fig. 2: Experimental demonstration of non-Hermitian topologically trivial exciton–polaritons.
Fig. 3: CD in twisted structures.
Fig. 4: Twist-induced non-Hermitian topological polariton bands with spectral winding.
Fig. 5: Observation of the NHSE with exciton–polaritons.

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Data availability

The data that support the plots within this Article are available via Zenodo (https://doi.org/10.5281/zenodo.17389879)60. All other data related to this study are available from the corresponding author upon request.

Code availability

The codes are available from the corresponding author upon request.

References

  1. Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).

    Article  ADS  Google Scholar 

  2. Lu, L., Joannopoulos, J. D. & Soljačić, M. Topological photonics. Nat. Photon. 8, 821–829 (2014).

    Article  ADS  Google Scholar 

  3. Yang, Z. et al. Topological acoustics. Phys. Rev. Lett. 114, 114301 (2015).

    Article  ADS  Google Scholar 

  4. Tokura, Y., Yasuda, K. & Tsukazaki, A. Magnetic topological insulators. Nat. Rev. Phys. 1, 126–143 (2019).

    Article  Google Scholar 

  5. Ma, G., Xiao, M. & Chan, C. T. Topological phases in acoustic and mechanical systems. Nat. Rev. Phys. 1, 281–294 (2019).

    Article  Google Scholar 

  6. Bahari, B. et al. Nonreciprocal lasing in topological cavities of arbitrary geometries. Science 358, 636–640 (2017).

    Article  ADS  Google Scholar 

  7. Bandres, M. A. et al. Topological insulator laser: experiments. Science 359, eaar4005 (2018).

    Article  Google Scholar 

  8. El-Ganainy, R. et al. Non-Hermitian physics and PT symmetry. Nat. Phys. 14, 11–19 (2018).

    Article  Google Scholar 

  9. Miri, M.-A. & Alù, A. Exceptional points in optics and photonics. Science 363, eaar7709 (2019).

    Article  MathSciNet  Google Scholar 

  10. Bergholtz, E. J., Budich, J. C. & Kunst, F. K. Exceptional topology of non-Hermitian systems. Rev. Mod. Phys. 93, 015005 (2021).

    Article  ADS  MathSciNet  Google Scholar 

  11. Yao, S. & Wang, Z. Edge states and topological invariants of non-Hermitian systems. Phys. Rev. Lett. 121, 086803 (2018).

    Article  ADS  Google Scholar 

  12. Xiao, L. et al. Non-Hermitian bulk–boundary correspondence in quantum dynamics. Nat. Phys. 16, 761–766 (2020).

    Article  Google Scholar 

  13. Chen, W., Kaya Özdemir, Ş, Zhao, G., Wiersig, J. & Yang, L. Exceptional points enhance sensing in an optical microcavity. Nature 548, 192–196 (2017).

    Article  ADS  Google Scholar 

  14. Hodaei, H. et al. Enhanced sensitivity at higher-order exceptional points. Nature 548, 187–191 (2017).

    Article  ADS  Google Scholar 

  15. Yin, X., Jin, J., Soljačić, M., Peng, C. & Zhen, B. Observation of topologically enabled unidirectional guided resonances. Nature 580, 467–471 (2020).

    Article  ADS  Google Scholar 

  16. Peng, B. et al. Loss-induced suppression and revival of lasing. Science 346, 328–332 (2014).

    Article  ADS  Google Scholar 

  17. Shen, Z. et al. Reconfigurable optomechanical circulator and directional amplifier. Nat. Commun. 9, 1797 (2018).

    Article  ADS  Google Scholar 

  18. Shelykh, I. A., Pavlovic, G., Solnyshkov, D. D. & Malpuech, G. Proposal for a mesoscopic optical Berry-phase interferometer. Phys. Rev. Lett. 102, 046407 (2009).

    Article  ADS  Google Scholar 

  19. Nalitov, A. V., Solnyshkov, D. D. & Malpuech, G. Polariton Z topological insulator. Phys. Rev. Lett. 114, 116401 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  20. Bardyn, C.-E., Karzig, T., Refael, G. & Liew, T. C. H. Topological polaritons and excitons in garden-variety systems. Phys. Rev. B 91, 161413 (2015).

    Article  ADS  Google Scholar 

  21. Solnyshkov, D. D., Nalitov, A. V. & Malpuech, G. Kibble-Zurek mechanism in topologically nontrivial zigzag chains of polariton micropillars. Phys. Rev. Lett. 116, 046402 (2016).

    Article  ADS  Google Scholar 

  22. St-Jean, P. et al. Lasing in topological edge states of a one-dimensional lattice. Nat. Photon. 11, 651–656 (2017).

    Article  ADS  Google Scholar 

  23. Klembt, S. et al. Exciton-polariton topological insulator. Nature 562, 552–556 (2018).

    Article  ADS  Google Scholar 

  24. Hu, G. et al. Topological polaritons and photonic magic angles in twisted α-MoO3 bilayers. Nature 582, 209–213 (2020).

    Article  ADS  Google Scholar 

  25. Liu, W. et al. Generation of helical topological exciton-polaritons. Science 370, 600–604 (2020).

    Article  MathSciNet  Google Scholar 

  26. Guddala, S. et al. Topological phonon-polariton funneling in midinfrared metasurfaces. Science 374, 225–227 (2021).

    Article  ADS  Google Scholar 

  27. Li, M. et al. Experimental observation of topological Z2 exciton-polaritons in transition metal dichalcogenide monolayers. Nat. Commun. 12, 4425 (2021).

    Article  ADS  Google Scholar 

  28. Su, R., Ghosh, S., Liew, T. C. H. & Xiong, Q. Optical switching of topological phase in a perovskite polariton lattice. Sci. Adv. 7, eabf8049 (2021).

    Article  ADS  Google Scholar 

  29. Li, M. et al. Topologically reconfigurable magnetic polaritons. Sci. Adv. 8, eadd6660 (2022).

    Article  ADS  Google Scholar 

  30. Hu, H. et al. Doping-driven topological polaritons in graphene/α-MoO3 heterostructures. Nat. Nanotechnol. 17, 940–946 (2022).

    Article  ADS  Google Scholar 

  31. Wu, J. et al. Higher-order topological polariton corner state lasing. Sci. Adv. 9, eadg4322 (2023).

    Article  Google Scholar 

  32. Smirnova, D. et al. Polaritonic states trapped by topological defects. Nat. Commun. 15, 6355 (2024).

    Article  ADS  Google Scholar 

  33. Peng, K. et al. Topological valley Hall polariton condensation. Nat. Nanotechnol. 19, 1283–1289 (2024).

    Article  ADS  Google Scholar 

  34. Jin, F. et al. Observation of perovskite topological valley exciton-polaritons at room temperature. Nat. Commun. 15, 10563 (2024).

    Article  ADS  Google Scholar 

  35. Jin, F., Mandal, S., Wang, X., Zhang, B. & Su, R. Perovskite topological exciton-polariton disclination laser at room temperature. Nat. Commun. 16, 6002 (2025).

    Article  ADS  Google Scholar 

  36. Deng, H., Haug, H. & Yamamoto, Y. Exciton-polariton Bose-Einstein condensation. Rev. Mod. Phys. 82, 1489–1537 (2010).

    Article  ADS  Google Scholar 

  37. Byrnes, T., Kim, N. Y. & Yamamoto, Y. Exciton–polariton condensates. Nat. Phys. 10, 803–813 (2014).

    Article  Google Scholar 

  38. Amo, A. et al. Superfluidity of polaritons in semiconductor microcavities. Nat. Phys. 5, 805–810 (2009).

    Article  Google Scholar 

  39. Lerario, G. et al. Room-temperature superfluidity in a polariton condensate. Nat. Phys. 13, 837–841 (2017).

    Article  Google Scholar 

  40. Peng, K. et al. Room-temperature polariton quantum fluids in halide perovskites. Nat. Commun. 13, 7388 (2022).

    Article  ADS  Google Scholar 

  41. Ballarini, D. et al. All-optical polariton transistor. Nat. Commun. 4, 1778 (2013).

    Article  ADS  Google Scholar 

  42. Zasedatelev, A. V. et al. A room-temperature organic polariton transistor. Nat. Photon. 13, 378–383 (2019).

    Article  ADS  Google Scholar 

  43. Sannikov, D. A. et al. Room temperature, cascadable, all-optical polariton universal gates. Nat. Commun. 15, 5362 (2024).

    Article  ADS  Google Scholar 

  44. Gao, T. et al. Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard. Nature 526, 554–558 (2015).

    Article  ADS  Google Scholar 

  45. Gao, T. et al. Chiral modes at exceptional points in exciton-polariton quantum fluids. Phys. Rev. Lett. 120, 065301 (2018).

    Article  ADS  Google Scholar 

  46. Su, R. et al. Direct measurement of a non-Hermitian topological invariant in a hybrid light-matter system. Sci. Adv. 7, eabj8905 (2021).

    Article  Google Scholar 

  47. Krol, M. et al. Annihilation of exceptional points from different Dirac valleys in a 2D photonic system. Nat. Commun. 13, 5340 (2022).

    Article  ADS  Google Scholar 

  48. Mandal, S., Banerjee, R., Ostrovskaya, E. A. & Liew, T. C. H. Nonreciprocal transport of exciton polaritons in a non-Hermitian chain. Phys. Rev. Lett. 125, 123902 (2020).

    Article  ADS  Google Scholar 

  49. Xu, H. et al. Nonreciprocal exciton-polariton ring lattices. Phys. Rev. B 104, 195301 (2021).

    Article  ADS  Google Scholar 

  50. Kokhanchik, P., Solnyshkov, D. & Malpuech, G. Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling. Phys. Rev. B 108, L041403 (2023).

    Article  ADS  Google Scholar 

  51. Bao, R., Xu, H., Verstraelen, W. & Liew, T. C. H. Topological enhancement of exciton-polariton coherence with non-Hermitian morphing. Phys. Rev. B 108, 235305 (2023).

    Article  ADS  Google Scholar 

  52. Rechcińska, K. et al. Engineering spin-orbit synthetic Hamiltonians in liquid-crystal optical cavities. Science 366, 727–730 (2019).

    Article  ADS  Google Scholar 

  53. Łempicka-Mirek, K. et al. Electrically tunable Berry curvature and strong light-matter coupling in liquid crystal microcavities with 2D perovskite. Sci. Adv. 8, eabq7533 (2022).

    Article  ADS  Google Scholar 

  54. Liang, J. et al. Polariton spin Hall effect in a Rashba–Dresselhaus regime at room temperature. Nat. Photon. 18, 357–362 (2024).

    Article  ADS  Google Scholar 

  55. Wen, W. et al. Trembling motion of exciton polaritons close to the Rashba-Dresselhaus regime. Phys. Rev. Lett. 133, 116903 (2024).

    Article  ADS  Google Scholar 

  56. Hu, Y. M. R., Ostrovskaya, E. A. & Estrecho, E. Wave-packet dynamics in a non-Hermitian exciton-polariton system. Phys. Rev. B 108, 115404 (2023).

    Article  ADS  Google Scholar 

  57. Zhu, H. & Yakobson, B. I. Creating chirality in the nearly two dimensions. Nat. Mater. 23, 316–322 (2024).

    Article  ADS  Google Scholar 

  58. Longhi, S. Non-Hermitian skin effect beyond the tight-binding models. Phys. Rev. B 104, 125109 (2021).

    Article  ADS  Google Scholar 

  59. Feng, L., El-Ganainy, R. & Ge, L. Non-Hermitian photonics based on parity–time symmetry. Nat. Photon. 11, 752–762 (2017).

    Article  ADS  Google Scholar 

  60. Liang, J. Data for ‘Twist-induced non-Hermitian topology of exciton polaritons’. Zenodo https://doi.org/10.5281/zenodo.17389879 (2025).

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Acknowledgements

R.S. and T.C.H.L. gratefully acknowledge funding support from the Singapore Ministry of Education via the AcRF Tier 2 grant (MOE-T2EP50222-0008), AcRF Tier 3 grant (MOE-MOET32023-0003) ‘Quantum Geometric Advantage’ and Tier 1 grant (RG80/23). R.S. also gratefully acknowledges funding support from Nanyang Technological University via a Nanyang Assistant Professorship start-up grant and the Singapore Ministry of Education via Tier 1 grant (RG 90/25). R.S. and B.Z. gratefully acknowledge funding support from the Singapore National Research Foundation via a Competitive Research Program (grant number NRF-CRP23-2019-0007). K.D. and T.C.H.L. gratefully acknowledge funding support from the Singapore National Research Foundation (NRF2023-ITC004-001). M.K. and E.A.O. acknowledge support from the Australian Research Council through the Discovery Project scheme (DP230102603). E.E. acknowledges support from the ARC Discovery Early Career Researcher Award (DE220100712).

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R.S. designed the research and supervised the whole project. J.L., H.Z. and F.J. prepared the samples and conducted the optical spectroscopy measurements. H.Z. performed the modelling and theoretical calculations with inputs from T.C.H.L., R.B. and K.D. E.E., M.K. and E.A.O. developed the initial theoretical model and calculations. J.R. and Y.L. provided help on the sample fabrication. B.Z. provided valuable insight and suggestions. R.S., J.L. and H.Z. wrote the paper with the inputs from all authors.

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Correspondence to Rui Su.

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Liang, J., Zheng, H., Jin, F. et al. Twist-induced non-Hermitian topology of exciton–polaritons. Nat. Phys. 22, 151–157 (2026). https://doi.org/10.1038/s41567-025-03115-0

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