Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Signatures of fractional charges via anyon–trions in twisted MoTe2

Abstract

Fractionalization of the electron charge e is one of the most striking phenomena arising from strong electron–electron interactions. A celebrated example is the emergence of anyons with fractional charges in fractional quantum Hall effect (FQHE) states1,2,3,4,5,6,7,8,9,10,11,12,13. Recently, zero-field fractional Chern insulators (FCIs)14,15,16,17,18,19, lattice analogues of the FQHE states that form without Landau levels, have been realized20,21. FCIs provide a unique platform to investigate anyons, yet their detection remains a challenge. Here we report the observation of anyon–trions, a new type of excitonic complex formed by binding a trion with a fractional charge in twisted MoTe2 bilayers. Photoluminescence spectroscopy of quantum-confined excitons reveals emergent peaks that appear only within slightly doped FCI states. The new spectral features are red-shifted relative to the trions in undoped FCIs, but share the same electric field, temperature and magnetic field dependence. These observations suggest their origin as trions binding with elementary quasi-particles, that is, anyon–trions. Crucially, the ratio of binding energies between the anyon–trions in the −2/3 and −3/5 FCI states matches the expected fractional charge ratio of e/3 to e/5. This provides strong evidence for fractional charges in FCI—an essential property of anyons. Our results address a fundamental question in FCI physics and establish trion spectroscopy as a powerful probe of fractionally charged excitations, complementary to transport- and tunnelling-based approaches.

This is a preview of subscription content, access via your institution

Access options

Buy this article

USD 39.95

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Probing fractional Chern insulator states using quantum-confined trions.
Fig. 2: Observation of anyon–trions.
Fig. 3: Correlation between the anyon–trion and corresponding FCI state.
Fig. 4: Scaling behaviour of the anyon–trion binding energy with fractional charges.

Similar content being viewed by others

Data availability

Source data are provided with this paper.

References

  1. Halperin, B. I. & Jain, J. K. (eds) Fractional Quantum Hall Effects: New Developments (World Scientific, 2020).

  2. Laughlin, R. B. Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett. 50, 1395 (1983).

    Article  ADS  Google Scholar 

  3. Halperin, B. I. Statistics of quasiparticles and the hierarchy of fractional quantized Hall states. Phys. Rev. Lett. 52, 1583 (1984).

    Article  ADS  Google Scholar 

  4. Arovas, D., Schrieffer, J. R. & Wilczek, F. Fractional statistics and the quantum Hall effect. Phys. Rev. Lett. 53, 722 (1984).

    Article  ADS  Google Scholar 

  5. de-Picciotto, R. et al. Direct observation of a fractional charge. Nature 389, 162–164 (1997).

    Article  CAS  ADS  Google Scholar 

  6. Reznikov, M. et al. Observation of quasiparticles with one-fifth of an electron’s charge. Nature 399, 238–241 (1999).

    Article  CAS  ADS  Google Scholar 

  7. Dolev, M. et al. Observation of a quarter of an electron charge at the ν = 5/2 quantum Hall state. Nature 452, 829–834 (2008).

    Article  CAS  PubMed  ADS  Google Scholar 

  8. Goldman, V. J. & Su, B. Resonant tunneling in the quantum Hall regime: measurement of fractional charge. Science 267, 1010–1012 (1995).

    Article  CAS  PubMed  ADS  Google Scholar 

  9. Martin, J. et al. Localization of fractionally charged quasi-particles. Science 305, 980–983 (2004).

    Article  CAS  PubMed  ADS  Google Scholar 

  10. Banerjee, M. et al. Observation of half-integer thermal Hall conductance. Nature 559, 205–210 (2018).

    Article  CAS  PubMed  ADS  Google Scholar 

  11. Bartolomei, H. et al. Fractional statistics in anyon collisions. Science 368, 173–177 (2020).

    Article  MathSciNet  CAS  PubMed  ADS  Google Scholar 

  12. Lee, J. Y. M. et al. Partitioning of diluted anyons reveals their braiding statistics. Nature 617, 277–281 (2023).

    Article  CAS  PubMed  ADS  Google Scholar 

  13. Nakamura, J. et al. Direct observation of anyonic braiding statistics. Nat. Phys. 16, 931–936 (2020).

    Article  CAS  Google Scholar 

  14. Tang, E., Mei, J.-W. & Wen, X.-G. High-temperature fractional quantum Hall states. Phys. Rev. Lett. 106, 236802 (2011).

    Article  PubMed  ADS  Google Scholar 

  15. Sun, K., Gu, Z., Katsura, H. & Das Sarma, S. Nearly flatbands with nontrivial topology. Phys. Rev. Lett. 106, 236803 (2011).

    Article  PubMed  ADS  Google Scholar 

  16. Neupert, T., Santos, L., Chamon, C. & Mudry, C. Fractional quantum Hall states at zero magnetic field. Phys. Rev. Lett. 106, 236804 (2011).

    Article  PubMed  ADS  Google Scholar 

  17. Sheng, D. N., Gu, Z.-C., Sun, K. & Sheng, L. Fractional quantum Hall effect in the absence of Landau levels. Nat. Commun. 2, 389 (2011).

    Article  CAS  PubMed  ADS  Google Scholar 

  18. Regnault, N. & Bernevig, B. A. Fractional Chern insulator. Phys. Rev. X 1, 021014 (2011).

    Google Scholar 

  19. Xiao, D., Zhu, W., Ran, Y., Nagaosa, N. & Okamoto, S. Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures. Nat. Commun. 2, 596 (2011).

    Article  PubMed  ADS  Google Scholar 

  20. Park, H. et al. Observation of fractionally quantized anomalous Hall effect. Nature 622, 74–79 (2023).

    Article  CAS  PubMed  ADS  Google Scholar 

  21. Lu, Z. et al. Fractional quantum anomalous Hall effect in multilayer graphene. Nature 626, 759–764 (2024).

    Article  CAS  PubMed  ADS  Google Scholar 

  22. Berkelbach, T. C., Hybertsen, M. S. & Reichman, D. R. Theory of neutral and charged excitons in monolayer transition metal dichalcogenides. Phys. Rev. B 88, 045318 (2013).

    Article  ADS  Google Scholar 

  23. Wójs, A. & Quinn, J. J. Energy spectra of fractional quantum Hall systems in the presence of a valence hole. Phys. Rev. B 63, 045303 (2000).

    Article  ADS  Google Scholar 

  24. Byszewski, M. et al. Optical probing of composite fermions in a two-dimensional electron gas. Nat. Phys. 2, 239–243 (2006).

    Article  CAS  Google Scholar 

  25. Cai, J. et al. Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature 622, 63–68 (2023).

    Article  CAS  PubMed  ADS  Google Scholar 

  26. Anderson, E. et al. Trion sensing of a zero-field composite Fermi liquid. Nature 635, 590–595 (2024).

    Article  CAS  PubMed  ADS  Google Scholar 

  27. Mostaan, N., Goldman, N., İmamoğlu, A. & Grusdt, F. Anyon-trions in atomically thin semiconductor heterostructures. Preprint at https://arxiv.org/abs/2507.08933v2 (2025).

  28. Wagner, G. & Neupert, T. Sensing the binding and unbinding of anyons at impurities. Preprint at https://arxiv.org/abs/2507.08928v1 (2025).

  29. Anderson, E. et al. Programming correlated magnetic states with gate-controlled moiré geometry. Science 381, 325–330 (2023).

    Article  CAS  PubMed  ADS  Google Scholar 

  30. He, Y. M. et al. Single quantum emitters in monolayer semiconductors. Nat. Nanotechnol. 10, 497–502 (2015).

    Article  CAS  PubMed  ADS  Google Scholar 

  31. Srivastava, A. et al. Optically active quantum dots in monolayer WSe2. Nat. Nanotechnol. 10, 491–496 (2015).

    Article  CAS  PubMed  ADS  Google Scholar 

  32. Chakraborty, C. et al. Voltage-controlled quantum light from an atomically thin semiconductor. Nat. Nanotechnol. 10, 507–511 (2015).

    Article  CAS  PubMed  ADS  Google Scholar 

  33. Koperski, M. et al. Single photon emitters in exfoliated WSe2 structures. Nat. Nanotechnol. 10, 503–506 (2015).

    Article  CAS  PubMed  ADS  Google Scholar 

  34. Kumar, S., Kaczmarczyk, A. & Gerardot, B. D. Strain-induced spatial and spectral isolation of quantum emitters in mono-and bilayer WSe2. Nano Lett. 15, 7567–7573 (2015).

    Article  CAS  PubMed  PubMed Central  ADS  Google Scholar 

  35. Thureja, D. et al. Electrically tunable quantum confinement of neutral excitons. Nature 606, 298–304 (2022).

    Article  CAS  PubMed  ADS  Google Scholar 

  36. Xu, F. et al. Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2. Phys. Rev. X 13, 031037 (2023).

    CAS  Google Scholar 

  37. Zeng, Y. et al. Thermodynamic evidence of fractional Chern insulator in moiré MoTe2. Nature 622, 69–73 (2023).

    Article  CAS  PubMed  ADS  Google Scholar 

  38. Ji, Z. et al. Local probe of bulk and edge states in a fractional Chern insulator. Nature 635, 578583 (2024).

    Article  Google Scholar 

  39. Redekop, E. et al. Direct magnetic imaging of fractional Chern insulators in twisted MoTe2. Nature 635, 584–589 (2024).

    Article  CAS  PubMed  ADS  Google Scholar 

  40. Park, H. et al. Ferromagnetism and topology of the higher flat band in a fractional Chern insulator. Nat. Phys. 21, 549–555 (2025).

    Article  CAS  Google Scholar 

  41. Xu, F. et al. Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2. Nat. Phys. 21, 542–548 (2025).

    Article  CAS  Google Scholar 

  42. Jain, J. K. Composite Fermions (Cambridge Univ. Press, 2007).

  43. Crépel, V. & Fu, L. Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides. Phys. Rev. B 107, L201109 (2023).

    Article  ADS  Google Scholar 

  44. Anderson, E. et al. Magnetoelectric control of helical light emission in a moiré Chern magnet. Phys. Rev. X 15, 031057 (2025).

    CAS  Google Scholar 

  45. Liu, Z., Li, B. & Wu, F. Characterization of fractional Chern insulator quasiparticles in moiré transition metal dichalcogenides. Phys. Rev. B 112, 245104 (2025).

    Article  ADS  Google Scholar 

  46. Park, H. et al. Observation of high-temperature dissipationless fractional Chern insulator. Preprint at https://arxiv.org/abs/2503.10989v1 (2025).

Download references

Acknowledgements

We are deeply grateful to M. Heiblum and Y. Zheng for their thoughtful and constructive feedback on the manuscript. This project is supported mainly by the US Department of Energy (DoE), Office of Science, Basic Energy Sciences (BES), under the award DE-SC0018171. The fabrication and measurement are supported partially by a Vannevar Bush Faculty Fellowship (Award number N000142512047). Bulk MoTe2 crystal growth and characterization is supported by Programmable Quantum Materials, an Energy Frontier Research Center funded by DoE BES under award DE-SC0019443. T.C. acknowledges the support of the DoE, Office of Basic Energy Sciences, under Contract No. DE-SC0025327 for part of the theoretical analysis. D.X. acknowledges support from DoE BES under the award DE-SC0012509. K.W. and T.T. acknowledge support from the JSPS KAKENHI (grant nos. 21H05233 and 23H02052), the CREST (JPMJCR24A5), JST and World Premier International Research Center Initiative (WPI), MEXT, Japan. X.X. acknowledges support from the State of Washington funded Clean Energy Institute and from the Boeing Distinguished Professorship in Physics.

Author information

Authors and Affiliations

Authors

Contributions

X.X. and W.L. conceived the experiment. W.L. performed device fabrication and measurements, with assistance from C.W.B. W.L., A.I., T.C., D.X. and X.X. analysed and interpreted the results. T.T. and K.W. synthesized the hBN crystals. C.H. and J.-H.C. grew and characterized the bulk MoTe2 crystals. X.X., W.L. and D.X. wrote the paper with input from all authors. All authors discussed the results.

Corresponding author

Correspondence to Xiaodong Xu.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature thanks the anonymous reviewers for their contribution to the peer review of this work. Peer reviewer reports are available.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Extended data figures and tables

Extended Data Fig. 1 Real space photoluminescence (PL) and reflectance contrast mapping.

a, Spatial map of spectrally integrated PL intensity for the quantum confined trions. b, Spatial map of spectrally integrated PL intensity for the free trions. Three regions, twisted monolayer/bilayer MoTe2 (tML/BL), twisted monolayer/monolayer MoTe2 (tML/ML), and twisted bilayer/monolayer MoTe2 (tBL/ML) are marked and separated by the white dashed lines, with an uncertain of ~ 1 µm limited by the laser beam spot size. The circles indicate the spatial location of traps. The quantum confined trion emission is localized on the boundary of an area dominated by free trion PL. We do not observe trapped trions located clearly within the bulk region. c, Spatial map of lowest energy resonances in reflectance contrast spectra. The twisted trilayer regions exhibit lower energy resonances than the twisted bilayer region. d, Representative reflectance contrast spectra of twisted monolayer/bilayer MoTe2 (left), twisted monolayer/monolayer MoTe2 (middle), and twisted bilayer/monolayer MoTe2 (right) at charge neutrality. The black arrows indicate the lowest energy resonances.

Source Data

Extended Data Fig. 2 Reflective magnetic circular dichroism (RMCD) characterization of the ferromagnetic phase diagram.

a, RMCD signal versus filling ν and electric fields. b, ΔRMCD signal (the hysteretic component of RMCD) versus ν and magnetic fields μ0H. RMCD and ΔRMCD span from ν = −1.2 to −0.38 at zero magnetic field.

Source Data

Extended Data Fig. 3 Fan diagram obtained from integrated PL intensity over trapped trions.

a, PL intensity plot versus filling ν and photon energy at selected magnetic fields. The dashed lines are guides to the eye for FCI states at ν = −2/3, −3/5, −4/7, −4/9, −3/7, and −2/5. b, Optically detected fan diagram from spectrally integrated PL intensity versus μ0H and filling factor ν. The additional feature (−0.685 <ν < −0.675) highlighted by the white arrow is the anyon trion. c, Top panel, optically detected fan diagram from tracking the peak energy of the quantum confined trion versus v and magnetic field, reproduced from the main text Fig. 1f for comparison with b. The bottom panel shows the corresponding Wannier diagram, where the FCI states are traced and overlaid with the expected Streda slope. Linear fits yield C = −0.63(4), −0.58(4), −0.53(3), −0.43(2), −0.41(3), and −0.38(4) for ν = −2/3, −3/5, −4/7, −4/9, −3/7, and −2/5, respectively.

Source Data

Extended Data Fig. 4 Observation of anyon trions from additional potential traps.

a-f, PL of quantum confined trions from potential trap-4 to 9 versus v and photon energy. Dashed boxes highlight the FCI states with anyon-trions.

Source Data

Extended Data Fig. 5 Intensity anticorrelation between FCI-trion and anyon-trion.

a, Time trace of the normalized peak intensity of the anyon trion (blue) and FCI trion (red), plotted as their ratio to the sum of the PL intensity of anyon-trion and FCI-trion. Green (black) arrows mark the anticorrelated intensity fluctuations (overall intensity switch) between the two trion species, while the total intensity remains nearly constant. b, Another set of time-dependent PL measurements reveals correlated energy fluctuations. The FCI-trion intensity increases whereas the anyon-trion intensity weakens over time.

Source Data

Extended Data Fig. 6 Electric field dependence of FCI- and anyon-trions.

a, PL versus electric field at doping with v at -2/3 FCI-trion (left panel), and anyon-trion (middle panel), which are added together to yield the right panel. The data is from trap 2. b, c, Same as a but for trap 1 (b) and 6 (c). FCI- and anyon-trions exist in the same electric field range.

Source Data

Extended Data Fig. 7 Binding energies of anyon-trions from additional potential traps.

a-f, Left panels: PL spectra of the −2/3 anyon-trion (red, v = −0.68) and FCI-trion (blue, v = −2/3). Right panels: PL spectra of the −2/3 anyon-trion (red, v = −0.61) and FCI-trion (blue, v = −3/5). The data are from six different potential traps (traps−2, 6 to 8, 10 and 11).

Source Data

Extended Data Fig. 8 Quantum confined trions originated from multiple traps.

a,b, Optimized PL of quantum confined trions from the lower-energy trap (a, reproduced from Fig. 2e) and from both traps (b). The two appreciable trion plateaus corresponding to the −2/3 state arise from separate traps. Upon optimizing emission from both traps, two anyon-trion features (indicated by the white and green arrows) are appreciable.

Source Data

Supplementary information

Source data

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, W., Wang Beach, C., Hu, C. et al. Signatures of fractional charges via anyon–trions in twisted MoTe2. Nature (2026). https://doi.org/10.1038/s41586-026-10101-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Version of record:

  • DOI: https://doi.org/10.1038/s41586-026-10101-w

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing