Birotons and ‘dark hierarchies’ in fractional quantum Hall effect

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

A computational scheme has been developed to determine the energies of neutral excitations in fractional states of the quantum Hall effect. The fractional states are brought into a general hierarchical system (Farey-number hierarchy structure). It is shown that in addition to the well-known hierarchy of fractional states (Laughlin–Jane), there are other ‘dark hierarchies’ of fractional quantum Hall effect that are not observed experimentally in the most highly mobile samples but can have a significant impact on the thermodynamics and spectral characteristics of fractional quantum Hall effect states. The connection of the ‘dark hierarchies’ of fractional quantum Hall effect with the existing experimental data is considered.

About the authors

L. V. Kulik

Institute of Solid-State Physics of the Russian Academy of Sciences

Author for correspondence.
Email: kulik@issp.ac.ru
Russia, 142432, Chernogolovka

А. Ваньков

Федеральное государственное бюджетное учреждение науки
Институт физики твердого тела имени Ю.А. Осипьяна Российской академии наук

Email: kulik@issp.ac.ru
Россия, Черноголовка

References

  1. Bartolomei H., Kumar M., Bisognin R. et al. // Science. 2020. V. 368. No. 6487. P. 173.
  2. Nakamura J., Liang S., Gardner G.C. et al. // Nature Phys. 2020. V. 16. P. 931.
  3. Willett R.L., Pfeiffer L.N., West K.W. // Proc. National. Acad. Sci. 2009. V. 106. No. 22. P. 8853.
  4. Law K.T. // Phys. Rev. B. 2018. V. 77. Art. No. 205310.
  5. Kulik L.V., Zhuravlev A.S., Musina L.I. et al. // Nature Commun. 2021. V. 12. Art. No. 6477.
  6. Kang M., Pinczuk A., Dennis B.S. et al. // Phys. Rev. Lett. 2000. V. 84. No. 3. P. 546.
  7. Du R.R., Stormer H.L., Tsui D.C. et al. // Phys. Rev. Lett. 1993. V. 70. P. 2944.
  8. Haldane F.D.M. // Phys. Rev. Lett. 1983. V. 51. P. 605.
  9. Halperin B.I. // Phys. Rev. Lett. 1984. V. 52. P. 1583.
  10. Jain J. // Phys. Rev. B. 1990. V. 41. P. 7653.
  11. Blok B., Wen X.G. // Phys. Rev. B. 1990. V. 42. P. 8133.
  12. Zang J., Birman B. // Phys. Rev. B. 1993.V. 47. P. 305.
  13. Chung Y.J., Villegas Rosales K.A., Baldwin K.W. et al. // Nature Mater. 2021. V. 20. P. 632.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download
2.

Download (176KB)
Indexing metadata

Copyright (c) 2023 Л.В. Кулик, А.Б. Ваньков