Progress in Superconductivity and Cryogenics (한국초전도ㆍ저온공학회논문지)

The Korean Society of Superconductivity and Cryogenics (한국초전도저온학회)
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Integer and fractional quantum Hall effect in graphene heterostructure

  • Received : 2023.03.01
  • Accepted : 2023.03.15
  • Published : 2023.03.31
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Abstract

The study of two-dimensional electron systems with extraordinarily low levels of disorder was, for a long time, the exclusive privilege of the epitaxial thin film research community. However, the successful isolation of graphene by mechanical exfoliation has truly disrupted this field. Furthermore, the assembly of heterostructures consisting of several layers of different 2D materials in arbitrary order by exploiting van der Waals forces has been a game-changer in the field of low-dimensional physics. This technique can be generalized to the large class of strictly 2D materials and offers unprecedented parameters to play with in order to tune electronic and other properties. It has led to a paradigm shift in the field of 2D condensed matter physics with bright prospects. In this review article, we discuss three device fabrication techniques towards high mobility devices: suspended structures, dry transfer, and pick-up transfer methods. We also address state-of-the-art device structures, which are fabricated by the van der Waals pick-up transfer method. Finally, we briefly introduce correlated ground states in the fractional quantum Hall regime.

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References

  1. K. v. Klitzing, G. Dorda, and M. Pepper, "New Method for HighAccuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance," Phys. Rev. Lett., vol. 45, pp. 494, 1980.
  2. D. C. Tsui, H. L. Stormer, and A. C. Gossard, "Two-Dimensional Magnetotransport in the Extreme Quantum Limit," Phys. Rev. Lett., vol. 48, pp. 1559, 1982.
  3. Cui-Zu Chang, et al., "Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator," Science, vol. 340, pp. 167-170, 2013. https://doi.org/10.1126/science.1234414
  4. C. L. Kane and E. J. Mele, "Quantum Spin Hall Effect in Graphene," Phys. Rev. Lett., vol. 95, pp. 226801, 2005.
  5. K. S. Novoselov, et al., "Electric Field Effect in Atomically Thin Carbon Films," Science, vol. 306, pp. 666-669, 2004. https://doi.org/10.1126/science.1102896
  6. Yuanbo Zhang, Yan-Wen Tan, Horst L. Stormer, and Philip Kim, "Experimental Observation of The Quantum Hall Eeffect and Berry's Phase in Graphene," Nature, vol. 438, pp. 201-204, 2005. https://doi.org/10.1038/nature04235
  7. Yuanbo Zhang, et al., "Landau-Level Splitting in Graphene in High Magnetic Fields," Phys. Rev. Lett., vol. 96, pp. 136806, 2006.
  8. K. I. Bolotin, et al., "Observation of The Fractional Quantum Hall Effect in Graphene," Nature, vol. 462, pp. 196-199, 2009. https://doi.org/10.1038/nature08582
  9. C. R. Dean, et al., "Boron Nitride Substrates for High-Quality Graphene Electronics," Nat. Nano., vol. 5, pp. 722-726, 2010. https://doi.org/10.1038/nnano.2010.172
  10. C. R. Dean, et al., "Hofstadter's Butterfly and the Fractal Quantum Hall Effect in Moire Superlattices," Nature, vol. 497, pp. 598-602, 2013. https://doi.org/10.1038/nature12186
  11. L. Wang, et al., "One-Dimensional Electrical Contact to a TwoDimensional Material," Science, vol. 342, pp. 614-617, 2013. https://doi.org/10.1126/science.1244358
  12. A. A. Zibrov, et al., "Tunable Interacting Composite Fermion Phases in a Half-Filled Bilayer-Graphene Landau Level," Nature, vol. 594, pp. 360-364, 2017. https://doi.org/10.1038/nature23893
  13. Y. Zeng, et al., "High-Quality Magnetotransport in Graphene Using the Edge-Free Corbino Geometry," Phys. Rev. Lett., vol. 122, pp. 137701, 2019.
  14. R. Ribeiro-Palau, et al., "High-Quality Electrostatically Defined Hall Bars in Monolayer Graphene," Nano. Lett., vol. 19, pp. 2583-2587, 2019. https://doi.org/10.1021/acs.nanolett.9b00351
  15. J. I. A. Li, et al., "Even-denominator Fractional Quantum Hall States in Bilayer Graphene," Science, vol. 358, pp. 648-652, 2017. https://doi.org/10.1126/science.aao2521
  16. Youngwook Kim, et al., "Even Denominator Fractional Quantum Hall States in Higher Landau Levels of Graphene," Nat. Phys., vol. 15, pp. 154-158, 2019. https://doi.org/10.1038/s41567-018-0355-x
  17. J. I. A. Li, et al., "Excitonic Superfluid Phase in Double Bilayer Graphene," Nat. Phys., vol. 13, pp. 751-755, 2017. https://doi.org/10.1038/nphys4140
  18. Xiomeng Liu, et al., "Quantum Hall Drag of Exciton Condensate in Graphene," Nat. Phys., vol. 13, pp. 746-750, 2017. https://doi.org/10.1038/nphys4116
  19. Xiomeng Liu, et al., "Crossover between Strongly Coupled and Weakly Coupled Exciton Superfluids," Science, vol. 375, pp. 205-209, 2022. https://doi.org/10.1126/science.abg1110
  20. Youngwook Kim, et al., "Odd Integer Quantum Hall States with Interlayer Coherence in Twisted Bilayer Graphene," Nano. Lett., vol. 21, pp. 4249-4254, 2021. https://doi.org/10.1021/acs.nanolett.1c00360
  21. Dohun Kim, et al., "Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene," Nano. Lett., vol. 23, pp. 163-169, 2023. https://doi.org/10.1021/acs.nanolett.2c03836
  22. J. Nakamura, et al., "Direct Observation of Anyonic Braiding Statistics," Nat. Phys., vol. 16, pp. 931-936, 2020. https://doi.org/10.1038/s41567-020-1019-1