Advertisement

Pramana

, Volume 35, Issue 4, pp 383–388 | Cite as

Donor electron in a quantum well under the influence of an electric field

  • B Sukumar
  • K Navaneethakrishnan
Article

Abstract

The ionization energies and the polarizabilities of a donor in an isolated well of a quasi two dimensional (Q2D) GaAs/Ga1−x Al x As heterostructure have been obtained for different well widths including electron-lattice coupling. A wave function that properly reduces to the hydrogenic function in the limiting case has been used. For fields of the order of 105 V/m, the ionization energies decrease slightly with electric fields for all well widths (10 nm to 50 nm) studied. Also for a given electric field, as the well width increases, the ionization energy decreases. For fields of the order of 107 V/m and for smaller well widths (<10 nm), the ionization energy generally increases with electric field. The results also show that for electric fields of this order, no donor bound state associated with the lowest subband is possible for well widths greater than 20 nm. The polarizabilities estimated using the expression for the dipole operator show that as the well width increases, the polarizability values also increase and do not show any abnormal behaviour.

Keywords

Quantum well Q2D system donor energy polarizability electron-lattice coupling 

PACS Nos

71.55 71.38 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahn D and Chuang SL 1987IEEE. J. Quantum Electron. 23 2196CrossRefADSGoogle Scholar
  2. Ando T, Fowler B and Stern F 1982Rev. Mod. Phys. 54 437CrossRefADSGoogle Scholar
  3. Bastard G 1981Phys. Rev. B24 4714ADSGoogle Scholar
  4. Bastard G, Mendez E E, Chang L L and Esaki L 1983Phys. Rev. B28 3241ADSGoogle Scholar
  5. Berggren K F 1988Int. J. Quantum Chem. 33 217CrossRefGoogle Scholar
  6. Brown J W and Spector H N 1986J. Appl. Phys. 59 1179CrossRefADSGoogle Scholar
  7. Brum J A, Priester C and Allan G 1985Phys. Rev. B32 2378ADSGoogle Scholar
  8. Delalande C 1987Physica B146 112 (Also see references given therein)Google Scholar
  9. Elangovan A and Navaneethakrishnan K 1982Solid State Commun. 42 189CrossRefADSGoogle Scholar
  10. Ercelebi A and Tomak M 1985Solid State Commun. 54 883CrossRefADSGoogle Scholar
  11. Greene R L and Bajaj K K 1983Solid State Commun. 45 825CrossRefADSGoogle Scholar
  12. Greene R L and Bajaj K K 1985Phys. Rev. B31 913ADSGoogle Scholar
  13. Meseguer F, Maan J C and Ploog K 1987Phys. Rev. B35 2505ADSGoogle Scholar
  14. Schiff L I 1968Quantum mechanics (Kogakusha: McGraw-Hill) III ed. p 265Google Scholar
  15. Sukumar B and Navaneethakrishnan K 1989Solid State Commun. 71 681CrossRefADSGoogle Scholar
  16. Sukumar B and Navaneethakrishnan K 1990Phys. Status Solidi 158 193CrossRefGoogle Scholar
  17. Xu Wang, Xi Xia Liang and Kan Chang 1988Solid State Commun. 65 83CrossRefADSGoogle Scholar

Copyright information

© Indian Academy of Sciences 1990

Authors and Affiliations

  • B Sukumar
    • 1
  • K Navaneethakrishnan
    • 1
  1. 1.School of PhysicsMadurai Kamaraj UniversityMaduraiIndia

Personalised recommendations