Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Electrically Induced Bulk and Edge Excitations in the Fractional Quantum Hall Regime

Quentin France1,2, Yunhyeon Jeong1, Akinori Kamiyama1, Takaaki Mano3, Ken-ichi Sasaki4, Masahiro Hotta1,5, and Go Yusa1

Phys. Rev. Lett. 135, 066203 – Published 5 August, 2025

DOI: https://doi.org/10.1103/4bp5-9ryg

Abstract

We apply a voltage pulse to electrically excite the incompressible region of a two-dimensional electron liquid in the ν=2/3 fractional quantum Hall state and investigate the collective excitations in both the bulk and edge via photoluminescence spectral energy shifts. Introducing an offset in the voltage pulse significantly enhances the excitation signal. Real-space and time-resolved measurements reveal the dynamics of the bulk excitations, with an estimated group velocity of approximately 3×104  m/s. These bulk excitations align well with the magnetoplasmon model. Because bulk and edge magnetoplasmons are composed of two polarization degrees of freedom of the gauge field, our results highlight a connection that could serve as a resource for their entanglement—similar to the polarization of a photon—and offer a novel approach to exploring solid-state analogs of quantum gravity.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (45)

  1. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
  2. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
  3. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982).
  4. S. Girvin, A. MacDonald, and P. Platzman, Phys. Rev. B 33, 2481 (1986).
  5. A. Pinczuk, B. Dennis, L. Pfeiffer, and K. West, Phys. Rev. Lett. 70, 3983 (1993).
  6. H. Davies, J. Harris, J. Ryan, and A. Turberfield, Phys. Rev. Lett. 78, 4095 (1997).
  7. I. V. Kukushkin, J. H. Smet, V. W. Scarola, V. Umansky, and K. von Klitzing, Science 324, 1044 (2009).
  8. J. Liang, Z. Liu, Z. Yang, Y. Huang, U. Wursbauer, C. R. Dean, K. W. West, L. N. Pfeiffer, L. Du, and A. Pinczuk, Nature (London) 628, 78 (2024).
  9. F. Haldane, Phys. Rev. Lett. 107, 116801 (2011).
  10. S. Golkar and S. Sethi, J. High Energy Phys. 05 (2016) 001.
  11. R. Ashoori, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. West, Phys. Rev. B 45, 3894 (1992).
  12. H. Kamata, T. Ota, K. Muraki, and T. Fujisawa, Phys. Rev. B 81, 085329 (2010).
  13. M. Matsuura, T. Mano, T. Noda, N. Shibata, M. Hotta, and G. Yusa, Appl. Phys. Lett. 112, 063104 (2018).
  14. D. Yoshioka, The Quantum Hall Effect (Springer Science & Business Media, New York, 2013), Vol. 133.
  15. M. Hotta, Phys. Rev. A 80, 042323 (2009).
  16. G. Yusa, W. Izumida, and M. Hotta, Phys. Rev. A 84, 032336 (2011).
  17. M. Hotta, J. Matsumoto, and G. Yusa, Phys. Rev. A 89, 012311 (2014).
  18. M. Hotta, Y. Nambu, Y. Sugiyama, K. Yamamoto, and G. Yusa, Phys. Rev. D 105, 105009 (2022).
  19. Y. Nambu and M. Hotta, Phys. Rev. D 107, 085002 (2023).
  20. R. Yoshimoto and Y. Nambu, Phys. Lett. A 529, 130100 (2025).
  21. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
  22. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, Phys. Rev. Lett. 130, 076205 (2023).
  23. F. Lafont, A. Rosenblatt, M. Heiblum, and V. Umansky, Science 363, 54 (2019).
  24. A. Kamiyama, M. Matsuura, J. N. Moore, T. Mano, N. Shibata, and G. Yusa, Phys. Rev. Res. 4, L012040 (2022).
  25. A. Kamiyama, M. Matsuura, J. N. Moore, T. Mano, N. Shibata, and G. Yusa, Appl. Phys. Lett. 122 (2023).
  26. A. MacDonald, H. Oji, and S. Girvin, Phys. Rev. Lett. 55, 2208 (1985).
  27. C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, Phys. Rev. B 34, 4129 (1986).
  28. G. Le Breton, R. Delagrange, Y. Hong, M. Garg, K. Watanabe, T. Taniguchi, R. Ribeiro-Palau, P. Roulleau, P. Roche, and F. D. Parmentier, Phys. Rev. Lett. 129, 116803 (2022).
  29. J. Smet, R. Deutschmann, W. Wegscheider, G. Abstreiter, and K. von Klitzing, Phys. Rev. Lett. 86, 2412 (2001).
  30. B. Verdene, J. Martin, G. Gamez, J. Smet, K. Von Klitzing, D. Mahalu, D. Schuh, G. Abstreiter, and A. Yacoby, Nat. Phys. 3, 392 (2007).
  31. J. Hayakawa, K. Muraki, and G. Yusa, Nat. Nanotechnol. 8, 31 (2013).
  32. J. N. Moore, J. Hayakawa, T. Mano, T. Noda, and G. Yusa, Phys. Rev. Lett. 118, 076802 (2017).
  33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/4bp5-9ryg for additional experimental data.
  34. J. H. Davies, The Physics of Low-Dimensional Semiconductors: An Introduction (Cambridge University Press, Cambridge, England, 1998).
  35. N. J. M. Horing and M. M. Yildiz, Ann. Phys. (N.Y.) 97, 216 (1976).
  36. T. N. Theis, Surf. Sci. 98, 515 (1980).
  37. V. Volkov and S. A. Mikhailov, Sov. Phys. JETP 67, 1639 (1988).
  38. K. Sasaki, S. Murakami, Y. Tokura, and H. Yamamoto, Phys. Rev. B 93, 125402 (2016).
  39. The wavelength in the horizontal plane, k−1, also corresponds to the localization length in the vertical plane. We assume that k−1 is on the order of a micrometer. For very small values of k that satisfy ωc>ck, the gauge field can radiate out of the 2DEG as a Landau emission, causing the magnetoplasmon to become unstable [40].

  40. F. Inamura, G. Ueda, S. Kim, M. Patrashin, I. Hosako, S. Komiyama, and K. Ikushima, APL Photonics 9, 116101 (2024).
  41. O. Madelung, Semiconductors–Basic Data (Springer Science & Business Media, Berlin, 2012).
  42. S. Adachi, Physical Properties of III-V Semiconductor Compounds (Wiley, New York, 1992).
  43. L. Susskind, J. Math. Phys. (N.Y.) 36, 6377 (1995).
  44. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).
  45. T. Hartman, K. Murata, T. Nishioka, and A. Strominger, J. High Energy Phys. 04 (2009) 019.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation