Refinement of the criterion for strong localization of electrons on a semiconductor surface
Abstract
Possibility of strong localization of the two-dimensional electron gas on the surface of the highly doped semiconductor is analyzed. Analytical formula for cross-section of low-energy scattering of surface electrons with take into account Fermi – Dirac’s distribution was obtained. Is noted about substantial feature of the point EF = 0 in quasi two-dimensional electrons systems than in its three-dimensional analogs. On the basis of Ioffe – Regel’s rule and formula obtained for average cross-section of scattering more precise realistic criterion of strong localization was obtained than it which has been obtained in other quoted articles.
References
- Bondarenko V. B., Kuzmin M. V., Korablev V. V. [An analysis of as-grown inhomogeneities peculiar to the surface potential of the impurity semiconductor]. Fiz. Tekh. Poluprovodn. [Semiconductors]. 2001. Vol. 35, issue 8. P. 964–968 (in Russ.).
- Gantmakher V. F. Elektrony v neuporyadochennykh sredakh [Electrons in disordered mediums]. Moscow : Fizmatlit, 2013 (in Russ.).
- Landau L. D., Lifshits E. M. Teoreticheskaya fizika [Theoretical physics] : in 10 vols. Moscow : Nauka, 1989. Vol. 3 : Kvantovaya mekhanika (nerelyativistskaya teoriya) [Quantum mechanics (nonrelativistic theory)] (in Russ.).
- Bondarenko V. B., Filimonov A. V. [A criterion for strong localization on a semiconductor surface in the Thomas – Fermi approximation]. Fiz. Tekh. Poluprovodn. [Semiconductors]. 2017. Vol. 51, issue 10. P. 1372–1375 (in Russ.). DOI: 10.21883/FTP.2017. 10.45015.8507.
- Askerov B. M. Kineticheskie effekty v poluprovodnikakh [Kinetic effects in semiconductors]. Leningrad : Nauka, 1970 (in Russ.).
- Benemanskaya G. V., Jmeric V. N., Lapushkin M. N., et al. Accumulation nano-layer – 2D-electron channel of ultrathin interfaces Cs /n-InGaN. Fiz. Tverd. Tela. 2009. Vol. 51, issue 2. P. 372–376. PACS: 73.20-r, 73.21.Fg, 79.60.Dp (in Russ.).
- Nikiforov A. F., Uvarov V. B. Spetsialʼnye funktsii matematicheskoi fiziki [Special functions of mathematical physics]. Moscow : Nauka, 1978 (in Russ.).
Copyright (c) 2018 Journal of the Belarusian State University. Physics

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)