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Wigner crystals in flat band 2D electron systems

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Wigner crystals — ordered arrays of electrons — have been recently found in various 2D materials, but the first studies of these crystals in 2D electron systems (2DESs) date back from the 1980s. Mansour Shayegan gives a brief history of Wigner crystals and highlights future prospects.

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Fig. 1: Bilayer system used for probing a Wigner crystal using composite fermions.

References

  1. Zhou, Y. et al. Bilayer Wigner crystals in a transition metal dichalcogenide heterostructure. Nature 595, 48–52 (2021).

    Article  ADS  Google Scholar 

  2. Smoleński, T. et al. Signatures of Wigner crystal of electrons in a monolayer semiconductor. Nature 595, 53–57 (2021).

    Article  ADS  Google Scholar 

  3. Li, H. et al. Imaging two-dimensional generalized Wigner crystals. Nature 597, 650–654 (2021).

    Article  ADS  Google Scholar 

  4. Shayegan, M. in Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-dimensional Semiconductor Structures (eds Sarma, S. D. & Pinczuk, A.) 343–384 (Wiley, 1996).

  5. Deng, H. et al. Commensurability oscillations of composite fermions induced by the periodic potential of a Wigner crystal. Phys. Rev. Lett. 117, 096601 (2016).

    Article  ADS  Google Scholar 

  6. Zhao, J., Zhang, Y. & Jain, J. K. Crystallization in the fractional quantum Hall regime induced by Landau-level mixing. Phys. Rev. Lett. 121, 116802 (2018).

    Article  ADS  Google Scholar 

  7. Villegas Rosales, K. A. et al. Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing. Phys. Rev. Res. 3, 013181 (2021).

    Article  Google Scholar 

  8. Shingla, V., Myers, S. A., Pfeiffer, L. N., Baldwin, K. W. & Csathy, G. A. Particle-hole symmetry and the reentrant integer quantum Hall Wigner solid. Commun. Phys. 4, 204 (2021).

    Article  Google Scholar 

  9. Yoon, J., Li, C. C., Shahar, D., Tsui, D. C. & Shayegan, M. Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs at B = 0. Phys. Rev. Lett. 82, 1744–1747 (1999).

    Article  ADS  Google Scholar 

  10. Hossain, M. S. et al. Observation of spontaneous ferromagnetism in a two-dimensional electron system. Proc. Natl Acad. Sci. USA 117, 32244 (2020).

    Article  ADS  Google Scholar 

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  1. Princeton University, Princeton, NJ, USA

    Mansour Shayegan

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  1. Mansour Shayegan
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Correspondence to Mansour Shayegan.

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Shayegan, M. Wigner crystals in flat band 2D electron systems. Nat Rev Phys 4, 212–213 (2022). https://doi.org/10.1038/s42254-022-00444-4

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