Back to News
quantum-computing

Wigner polarons probe the dynamics of a Wigner crystal in a monolayer semiconductor

Lifu Zhang
Loading...
11 min read
0 likes
⚡ Quantum Brief
Nature Physics (2026) Cite this article Wigner crystals—lattices made purely of electrons—provide a platform for studying correlation-driven quantum phase transitions. Despite extensive research, accessing the internal dynamics of Wigner crystals has remained challenging, with most experiments probing only static order or collective motion. Here we demonstrate optical probing and the manipulation of zero-field Wigner crystals and elucidate their static and dynamic properties in the frequency domain.
AI Audio Summary
0:00 / 0:00
Click to play
page-073-object-079.webp
Quantum News · Media Library

Nature Physics (2026) Cite this article Wigner crystals—lattices made purely of electrons—provide a platform for studying correlation-driven quantum phase transitions. Despite extensive research, accessing the internal dynamics of Wigner crystals has remained challenging, with most experiments probing only static order or collective motion. Here we demonstrate optical probing and the manipulation of zero-field Wigner crystals and elucidate their static and dynamic properties in the frequency domain. We observe optical resonances that we identify as Wigner polarons—quasiparticles formed when the electron lattice is locally distorted by exciton–Wigner crystal coupling. We further achieve all-optical control of spins in the Wigner crystal, thereby directly probing valley-dependent Wigner polaron scattering well above the magnetic ordering temperature and in the absence of any external magnetic field. Finally, we show optical melting of the Wigner crystal and observe different responses of the umklapp (static) and Wigner polaron (dynamic) resonances to optical excitation. Our results provide an avenue for understanding electron dynamics and achieving ultrafast optical control of interaction-driven quantum phase transitions in strongly correlated electron systems. This is a preview of subscription content, access via your institution Access Nature and 54 other Nature Portfolio journals Get Nature+, our best-value online-access subscription $32.99 / 30 days cancel any timeSubscribe to this journal Receive 12 print issues and online access $259.00 per yearonly $21.58 per issueBuy this articleUSD 39.95Prices may be subject to local taxes which are calculated during checkoutSource data are provided with this paper.Basov, D., Averitt, R. & Hsieh, D. Towards properties on demand in quantum materials. Nat. Mater. 16, 1077–1088 (2017).Article Google Scholar De La Torre, A. et al. Colloquium: nonthermal pathways to ultrafast control in quantum materials. Rev. Mod. Phys. 93, 041002 (2021).Article ADS Google Scholar Borsch, M., Meierhofer, M., Huber, R. & Kira, M. Lightwave electronics in condensed matter. Nat. Rev. Mater. 8, 668–687 (2023).Article Google Scholar Basov, D. N., Averitt, R. D., Van Der Marel, D., Dressel, M. & Haule, K. Electrodynamics of correlated electron materials. Rev. Mod. Phys. 83, 471–541 (2011).Article ADS Google Scholar Smoleński, T. et al. Signatures of Wigner crystal of electrons in a monolayer semiconductor. Nature 595, 53–57 (2021).Article ADS Google Scholar Zhou, Y. et al. Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure. Nature 595, 48–52 (2021).Article ADS Google Scholar Chen, S.-D. et al. Terahertz electrodynamics in a zero-field Wigner crystal. Preprint at https://arxiv.org/abs/2509.10624 (2025).Chen, Y. P. et al. Melting of a 2D quantum electron solid in high magnetic field. Nat. Phys. 2, 452–455 (2006).Article Google Scholar Tsui, Y.-C. et al. Direct observation of a magnetic-field-induced Wigner crystal. Nature 628, 287–292 (2024).Article ADS Google Scholar Kosterlitz, J. M. & Thouless, D. J. Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C 6, 1181 (1973).Article ADS Google Scholar Platzman, P. & Fukuyama, H. Phase diagram of the two-dimensional electron liquid. Phys. Rev. B 10, 3150 (1974).Article ADS Google Scholar Chakravarty, S., Kivelson, S., Nayak, C. & Voelker, K. Wigner glass, spin liquids and the metal-insulator transition. Philos. Mag. B 79, 859–868 (1999).Article ADS Google Scholar Benenti, G., Waintal, X. & Pichard, J.-L. New quantum phase between the Fermi glass and the Wigner crystal in two dimensions. Phys. Rev. Lett. 83, 1826 (1999).Article ADS Google Scholar Spivak, B. & Kivelson, S. A. Phases intermediate between a two-dimensional electron liquid and Wigner crystal. Phys. Rev. B 70, 155114 (2004).Article ADS Google Scholar Ortiz, G., Harris, M. & Ballone, P. Zero temperature phases of the electron gas. Phys. Rev. Lett. 82, 5317 (1999).Article ADS Google Scholar Ma, M. K. et al. Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid. Phys. Rev. Lett. 125, 036601 (2020).Article ADS Google Scholar Andrei, E. et al. Observation of a magnetically induced Wigner solid. Phys. Rev. Lett. 60, 2765 (1988).Article ADS Google Scholar Williams, F. et al. Conduction threshold and pinning frequency of magnetically induced Wigner solid. Phys. Rev. Lett. 66, 3285 (1991).Article ADS Google Scholar Ye, P. et al. Correlation lengths of the Wigner-crystal order in a two-dimensional electron system at high magnetic fields. Phys. Rev. Lett. 89, 176802 (2002).Article ADS Google Scholar Tiemann, L., Rhone, T., Shibata, N. & Muraki, K. NMR profiling of quantum electron solids in high magnetic fields. Nat. Phys. 10, 648–652 (2014).Article Google Scholar Yoon, J., Li, C., Shahar, D., Tsui, D. & Shayegan, M. Wigner crystallization and metal–insulator transition of two-dimensional holes in GaAs at B = 0. Phys. Rev. Lett. 82, 1744 (1999).Article ADS Google Scholar Shapir, I. et al. Imaging the electronic Wigner crystal in one dimension. Science 364, 870–875 (2019).Article ADS Google Scholar Xiang, Z. et al. Imaging quantum melting in a disordered 2D Wigner solid. Science 388, 736–740 (2025).Article ADS Google Scholar Shimazaki, Y. et al. Optical signatures of periodic charge distribution in a Mott-like correlated insulator state. Phys. Rev. X 11, 021027 (2021).

Google Scholar Massignan, P. et al. Polarons in atomic gases and two-dimensional semiconductors. Rev. Mod. Phys. https://doi.org/10.1103/4nng-bb9z (2025).Sidler, M. et al. Fermi polaron-polaritons in charge-tunable atomically thin semiconductors. Nat. Phys. 13, 255–261 (2017).Article Google Scholar Efimkin, D. K. & MacDonald, A. H. Many-body theory of trion absorption features in two-dimensional semiconductors. Phys. Rev. B 95, 035417 (2017).Article ADS Google Scholar Platzman, P. & Dykman, M. Quantum computing with electrons floating on liquid helium. Science 284, 1967–1969 (1999).Article Google Scholar Knörzer, J. et al. Wigner crystals in two-dimensional transition-metal dichalcogenides: spin physics and readout. Phys. Rev. B 101, 125101 (2020).Article ADS Google Scholar Ciarrocchi, A., Tagarelli, F., Avsar, A. & Kis, A. Excitonic devices with van der Waals heterostructures: valleytronics meets twistronics. Nat. Rev. Mater. 7, 449–464 (2022).Article Google Scholar Liu, E. et al. Exciton–polaron Rydberg states in monolayer MoSe2 and WSe2. Nat. Commun. 12, 6131 (2021).Article ADS Google Scholar Courtade, E. et al. Charged excitons in monolayer WSe2: experiment and theory. Phys. Rev. B 96, 085302 (2017).Article ADS Google Scholar Schmidt, R., Enss, T., Pietilä, V. & Demler, E. Fermi polarons in two dimensions. Phys. Rev. A 85, 021602 (2012).Article ADS Google Scholar Adlong, H. S., Dizer, E., Schmidt, R., Imamoglu, A. & Christianen, A. Theory of exciton polarons in 2D Wigner crystals. Phys. Rev. Lett. https://doi.org/10.1103/bxn4-3tj3 (2025).Rasmussen, F. A. & Thygesen, K. S. Computational 2D materials database: electronic structure of transition-metal dichalcogenides and oxides. J. Phys. Chem. C 119, 13169–13183 (2015).Article Google Scholar Goryca, M. et al. Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields. Nat. Commun. 10, 4172 (2019).Article ADS Google Scholar Fallahazad, B. et al. Shubnikov–de Haas oscillations of high-mobility holes in monolayer and bilayer WSe2: Landau level degeneracy, effective mass, and negative compressibility. Phys. Rev. Lett. 116, 086601 (2016).Article ADS Google Scholar Tanatar, B. & Ceperley, D. M. Ground state of the two-dimensional electron gas. Phys. Rev. B 39, 5005 (1989).Article ADS Google Scholar Drummond, N. & Needs, R. Phase diagram of the low-density two-dimensional homogeneous electron gas. Phys. Rev. Lett. 102, 126402 (2009).Article ADS Google Scholar Imry, Y. & Ma, S.-k. Random-field instability of the ordered state of continuous symmetry. Phys. Rev. Lett. 35, 1399 (1975).Article ADS Google Scholar Ruzin, I., Marianer, S. & Shklovskii, B. Pinning of a two-dimensional Wigner crystal by charged impurities. Phys. Rev. B 46, 3999 (1992).Article ADS Google Scholar Chitra, R. & Giamarchi, T. Zero field Wigner crystal. Eur. Phys. J. B 44, 455–467 (2005).Article ADS Google Scholar Sung, J. et al. An electronic microemulsion phase emerging from a quantum crystal-to-liquid transition. Nat. Phys. 21, 437–443 (2025).Article Google Scholar Ge, Z. et al. Visualizing the impact of quenched disorder on 2D electron Wigner solids. Nature 654, 902–908 (2026).Article Google Scholar Valenti, A. et al. Quantum geometry driven crystallization: a neural-network variational Monte Carlo study. Preprint at https://arxiv.org/abs/2512.07947 (2025).Liu, E. et al. Exciton-polaron umklapp scattering in Wigner crystals. Preprint at https://arxiv.org/abs/2601.11914 (2026).Bernu, B., Cândido, L. & Ceperley, D. Exchange frequencies in the 2D Wigner crystal. Phys. Rev. Lett. 86, 870 (2001).Article ADS Google Scholar Zhang, Y.-H., Sheng, D. & Vishwanath, A. SU(4) chiral spin liquid, exciton supersolid, and electric detection in moiré bilayers. Phys. Rev. Lett. 127, 247701 (2021).Article ADS Google Scholar Hao, K., Shreiner, R., Kindseth, A. & High, A. A. Optically controllable magnetism in atomically thin semiconductors. Sci. Adv. 8, eabq7650 (2022).Article ADS Google Scholar Yang, M. et al. Relaxation and darkening of excitonic complexes in electrostatically doped monolayer WSe2: roles of exciton–electron and trion–electron interactions. Phys. Rev. B 105, 085302 (2022).Article ADS Google Scholar Jones, A. M. et al. Excitonic luminescence upconversion in a two-dimensional semiconductor. Nat. Phys. 12, 323–327 (2016).Article Google Scholar Liu, E. et al. Multipath optical recombination of intervalley dark excitons and trions in monolayer WSe2. Phys. Rev. Lett. 124, 196802 (2020).Article ADS Google Scholar Tang, Y., Mak, K. F. & Shan, J. Long valley lifetime of dark excitons in single-layer WSe2. Nat. Commun. 10, 4047 (2019).Article ADS Google Scholar Zhou, Y., Esterlis, I. & Smoleński, T. Electronic crystals in layered materials. npj 2D Mater. Appl. https://doi.org/10.1038/s41699-026-00713-1 (2026).Qi, R. et al. An exciton crystal in a moiré excitonic insulator. Nat. Phys. 22, 514–520 (2026).Ma, L. et al. Strongly correlated excitonic insulator in atomic double layers. Nature 598, 585–589 (2021).Article ADS Google Scholar Smoleński, T. et al. Interaction-induced Shubnikov–de Haas oscillations in optical conductivity of monolayer MoSe2. Phys. Rev. Lett. 123, 097403 (2019).Article ADS Google Scholar Laturia, A., Van de Put, M. L. & Vandenberghe, W. G. Dielectric properties of hexagonal boron nitride and transition metal dichalcogenides: from monolayer to bulk. npj 2D Mater. Appl. 2, 6 (2018).Article Google Scholar Popert, A. et al. Optical sensing of fractional quantum Hall effect in graphene. Nano Lett. 22, 7363–7369 (2022).Article ADS Google Scholar Liu, E. et al. Landau-quantized excitonic absorption and luminescence in a monolayer valley semiconductor. Phys. Rev. Lett. 124, 097401 (2020).Article ADS Google Scholar Download referencesThis research is primarily supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences Early Career Research Program (Award No. DE-SC-0022885). The fabrication of samples was supported by National Science Foundation CAREER Award (No. DMR-2145712) and Army Research Office W911NF2510066.

This research used the Quantum Material Press at the Center for Functional Nanomaterials, which is a US Department of Energy Office of Science User Facility at Brookhaven National Laboratory (Contract No. DE-SC0012704). I.E. was supported by the National Science Foundation through the University of Wisconsin Materials Research Science and Engineering Center (Grant No. DMR-2309000). K.W. and T.T. acknowledge support from the CREST (Grant No. JPMJCR24A5), JST and World Premier International Research Center Initiative, MEXT, Japan. E.D. and R.S. acknowledge support from the German Research Foundation (Project ID 273811115 – SFB 1225 ISOQUANT) and Germany’s Excellence Strategy (Grant No. EXC 2181/1 - 390900948 for the Heidelberg STRUCTURES Excellence Cluster). A.C. is supported by an ETH Fellowship.Department of Materials Science and Engineering, University of Maryland, College Park, MD, USALifu Zhang, Liuxin Gu, Ruihao Ni, Rundong Ma & You ZhouInstitute for Quantum Electronics, ETH Zürich, Zurich, SwitzerlandHaydn S. Adlong, Arthur Christianen & Atac ImamogluInstitute for Theoretical Physics, ETH Zürich, Zurich, SwitzerlandHaydn S. Adlong & Arthur ChristianenInstitut für Theoretische Physik, Universität Heidelberg, Heidelberg, GermanyEugen Dizer & Richard SchmidtCenter for Functional Nanomaterials, Brookhaven National Laboratory, Upton, NY, USASuji Park & Houk JangResearch Center for Electronic and Optical Materials, National Institute for Materials Science, Tsukuba, JapanTakashi TaniguchiResearch Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba, JapanKenji WatanabeDepartment of Physics, University of Wisconsin-Madison, Madison, WI, USAIlya EsterlisSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarSearch author on:PubMed Google ScholarY.Z. and L.Z. conceived the project. L.Z. fabricated the samples and performed the experiments. L.G., R.N., R.M., S.P. and H.J. assisted with sample fabrication. L.G. and R.M. helped with the optical measurements. H.S.A., A.C., E.D., A.I. and R.S. contributed to the theoretical interpretation of the data. L.Z., I.E. and Y.Z. contributed to the data analysis. T.T. and K.W. provided hBN samples. L.Z. and Y.Z. wrote the Article with extensive input from the other authors.Correspondence to You Zhou.The authors declare no competing interests.Nature Physics thanks the anonymous reviewers for their contribution to the peer review of this work. Peer reviewer reports are available.Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.Supplementary Discussions 1 and 2 and Figs. 1–12.Statistical source data.Statistical source data.Statistical source data.Statistical source data.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 permissionsZhang, L., Gu, L., Adlong, H.S. et al. Wigner polarons probe the dynamics of a Wigner crystal in a monolayer semiconductor. Nat. Phys. (2026). https://doi.org/10.1038/s41567-026-03398-xDownload citationReceived: 10 December 2025Accepted: 30 June 2026Published: 11 August 2026Version of record: 11 August 2026DOI: https://doi.org/10.1038/s41567-026-03398-xAnyone you share the following link with will be able to read this content:Sorry, a shareable link is not currently available for this article. Provided by the Springer Nature SharedIt content-sharing initiative

Read Original

Source Information

Source: Nature Physics – Quantum

Discussion

0 professional contributions

Sign in to join this professional discussion.

Be the first to add a constructive contribution.