LOCALIZED STATES OF BASIC ELEMENTARY CHARGES IN ULTRATHIN CRYSTALLINE FILM-STRUCTURES

XIV International Conference on Industrial Engineering and Environmental Protection – IIZS 2024, str. 186-190

 

АУТОР / AUTHOR(S): Nikola R. Vojnović , Dušan I. Ilić , Jovan P. Šetrajčić

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DOI: 10.46793/IIZS24.186V

САЖЕТАК / ABSTRACT:

The dispersion law of basic elementary charges (electrons or holes, in the following text: charges) in contemporary nanodimension crystalline film-structures (ultrathin film-structures) was evaluated by the method of two-time temperature dependent Green’s functions. In variance from unbounded structures, the energy spectrum of charges in film posses the top and bottom gap and the band of charge energies is narrower and strictly discrete. The conditions for the appearance and existence of the localized charge states were found and analized as a function of the size (i.e. value) of the boundary parameters.

КЉУЧНЕ РЕЧИ / KEYWORDS:

Crystals, film-structures, elementary charges, Green´s functions, energy states

ЛИТЕРАТУРА / REFERENCES:

  1. Cottam, M.G., Tilley, D.R.: Introduction to Surface and Superlattice Excitations, University Press, Cambridge, 1989.
  2. Chang, L.L., Esaki, L.: Semiconductor Quantum Heterostructures, Today, 45/10, pp. 36-43, 1992.
  3. Šetrajčić, J.P., Jaćimovski, S.K., Stojković, S.M.: The Influence of the Electronic Subsystem on the Special Features of Crystalline Nanostructures, Academy of Criminal Investigation and Police Studies, Zemun – Belgrade, 2018. – in Serbian.
  4. Kittel, C.: Quantum Theory of Solids, Wiley & Sons, New York, 1963.
  5. Mahan, G.: Many-Particle Physics, Plenum, London, 1983.
  6. Jones, W., March, N.H.: Theoretical Solid State Physics, Dover Publ., New York, 1985.
  7. Rickayzen, G.: Green’s Functions and Condensed Matter, Academic Press,  London, 1980. 
  8. Sajfert, V.D., Šetrajčić, J.P.: Application of Green’s Functions and Difference Equations in Theoretical Analyses of Nanostructures, In: Topics in Nanoscience – Part I, World Scientific, Singapore,
  9. Šetrajčić, J.P., Vučenović, S.M., Ilić, D.I., Jaćimovski S.K.: Applications of Green’s Function Methods for Research of Crystal Structures, Proceedings – 15th International Conference: Contemporary Materials, , pp. 99-116, Banja Luka,
  10. Mitrinović, D.S., Mihailović, D., Vasić, P.M., Linear Algebra, Polynomials and Analytical Geometry, 13th ed., Građevinska knjiga, Belgrade 1990 – in Serbian.
  11. Tošič, B.S., Šetrajčić, J.P., Jaćimovski S.K.: Methods of Theoretical Physics, Academy of Criminal Investigation and Police Studies, Zemun – Belgrade, 2018. – in Serbian
  12. Šetrajčić, J.P., Stojković, S.M., Mirjanić, D.Lj., Vučenović, S.M., Popov, : Influence of Boundary Conditions to the Electron Properties of Thin Films with Two Sublattices, Materials Science Forum,  413, 33-38, 2003.