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Electronic Structure of a Wide Quantum Wire in a Magnetic Field at ν = 1

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Abstract

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. In a GaAs quantum wire, a critical density has been found, below which the electron density distribution has a strong spatial inhomogeneity. The effect of the disorder potential on the electron density profile in a two-dimensional electron gas is estimated.

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References

  1. Pudalov, V.M.: JETP Lett. 116, 462 (2022)

    Article  ADS  CAS  Google Scholar 

  2. Fu, H., Wu, Y., Zhang, R., Sun, J., Shan, P., Wang, P., Zhu, Z., Pfeier, L.N., West, K.W., Liu, H., Xie, X.C.: Xi Lin. Nat. Commun. 10, 4351 (2019)

    Article  ADS  PubMed  PubMed Central  Google Scholar 

  3. Falson, J., Maryenko, D., Friess, B., Zhang, D., Kozuka, Y., Tsukazaki, A., Smet, J.H., Kawasaki, M.: Nat. Phys. 11, 347 (2015)

    Article  CAS  Google Scholar 

  4. Zhuravlev A.S., Kulik L.V., Kuznetsov V.A., Khit’ko M.A.: I.V. Kukushkin, JETP. Lett. 108, 419 (2018)

  5. Kulik, L.V., Kuznetsov, V.A., Zhuravlev, A.S., Umansky, V., Kukushkin, I.V.: Phys. Rev. Res 2, 033123 (2020)

    Article  CAS  Google Scholar 

  6. Kulik, L.V., Zhuravlev, A.S., Belozerov, E.I., Kuznetsov, V.A., Kukushkin, I.V.: JETP Lett. 112, 485 (2020)

    Article  ADS  CAS  Google Scholar 

  7. Chengyu W., A. Gupta, S. K. Singh, Y. J. Chung, L.N. Pfeiffer, K.W. West, K.W. Baldwin, R. Winkler, M.: Shayegan, Phys. Rev. Lett. 129, 156801 (2022)

  8. Dolgopolov, V.T., Melnikov, MYu., Shashkin, A.A., Huang, S.-H., Liu, C.W., Kravchenko, S.V.: JETP Lett. 107, 794 (2018)

    Article  ADS  CAS  Google Scholar 

  9. Drichko, I.L., Smirnov, IYu., Suslov, A.V., Baldwin, K.W., Pfeiffer, L.N., West, K.W., Galperin, Y.M.: Phys. Rev. B 107, 085301 (2023)

    Article  ADS  CAS  Google Scholar 

  10. Drichko, I.L., Smirnov, I.Y., Suslov, A.V., Galperin, Y.M., Pfeiffer, L.N., West, K.W.: Low Temperature Physics 43, 86 (2017)

    Article  ADS  CAS  Google Scholar 

  11. Drichko, I.L., Smirnov, I.Y., Suslov, A.V., Pfeiffer, L.N., West, K.W., Galperin, Y.M.: Phys. Rev. B 92, 205313 (2015)

    Article  ADS  Google Scholar 

  12. Maryenko, D., McCollam, A., Falson, J., Kozuka, Y., Bruin, J., Zeitler, U., Kawasaki, M.: Nat. Commun. 9, 4356 (2018)

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  13. Mikhailov S.A.: arXiv:2206.05152 (2022)

  14. Yannouleas, C., Landman, U.: Phys. Rev. B 68, 035326 (2003)

    Article  ADS  Google Scholar 

  15. Tsui, D.C., Stormer, H.L., Gossard, A.C.: Phys. Rev. Lett. 48, 1559 (1982)

    Article  ADS  CAS  Google Scholar 

  16. Vasilchenko A.A.: arXiv:2209.05601 (2022)

  17. Teneh, N., Kuntsevich, AYu., Pudalov, V.M., Reznikov, M.: Phys. Rev. Lett. 109, 226403 (2012)

    Article  ADS  CAS  PubMed  Google Scholar 

  18. Vasilchenko AA.: arXiv:2209.04724 (2022)

  19. Maksym, P.A., Chakraborty, T.: Phys. Rev. Lett. 65, 108 (1990)

    Article  ADS  CAS  PubMed  Google Scholar 

  20. Maksym, P.A., Chakraborty, T.: Phys. Rev. B 45, 1947 (1992)

    Article  ADS  CAS  Google Scholar 

  21. Maksym, P.A.: Physica B 184, 385 (1993)

    Article  ADS  Google Scholar 

  22. Yannouleas, C., Landman, U.: Phys. Rev. B 70, 235319 (2004)

    Article  ADS  Google Scholar 

  23. Yannouleas, C., Landman, U.: Phys. Rev. B 66, 115315 (2002)

    Article  ADS  Google Scholar 

  24. Reimann, S.M., Manninen, M.: Rev. Mod. Phys. 74, 1283 (2002)

    Article  ADS  CAS  Google Scholar 

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Acknowledgements

This work was supported by the State Assignment of the Ministry of Science and Higher Education of the Russian Federation (project No. FSWM-2020-0048).

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  1. National Research Tomsk State University, Tomsk, 634050, Russia

    A. A. Vasilchenko

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  1. A. A. Vasilchenko
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A.V. Writing – review & editing, Software, Investigation, Formal analysis, Data curation, Conceptualization.

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Correspondence to A. A. Vasilchenko.

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Vasilchenko, A.A. Electronic Structure of a Wide Quantum Wire in a Magnetic Field at ν = 1. Int J Theor Phys 63, 19 (2024). https://doi.org/10.1007/s10773-024-05547-5

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