Skip to main content

Advertisement

Influence of scattering processes on electron quantum states in nanowires

Article metrics

  • 1272 Accesses

  • 5 Citations

Abstract

In the framework of quantum perturbation theory the self-consistent method of calculation of electron scattering rates in nanowires with the one-dimensional electron gas in the quantum limit is worked out. The developed method allows both the collisional broadening and the quantum correlations between scattering events to be taken into account. It is an alternativeper se to the Fock approximation for the self-energy approach based on Green’s function formalism. However this approach is free of mathematical difficulties typical to the Fock approximation. Moreover, the developed method is simpler than the Fock approximation from the computational point of view. Using the approximation of stable one-particle quantum states it is proved that the electron scattering processes determine the dependence of electron energy versus its wave vector.

[119]

References

  1. 1.

    Haque A, Quddus MR: Solid-State Electron. 2001, 45: 519. COI number [1:CAS:528:DC%2BD3MXislKqs70%3D] 10.1016/S0038-1101(01)00030-2

  2. 2.

    Rotkin SV, Hess K: Appl. Phys. Lett. 2004, 84: 3139. ; COI number [1:CAS:528:DC%2BD2cXjtFyhtL4%3D]; Bibcode number [2004ApPhL..84.3139R] 10.1063/1.1710717

  3. 3.

    Pozdnyakov DV, Galenchik VO, Komarov FF, Borzdov VM: Physica E. 2006, 33: 336. ; COI number [1:CAS:528:DC%2BD28Xmslals78%3D]; Bibcode number [2006PhyE...33..336P] 10.1016/j.physe.2006.03.158

  4. 4.

    Briggs S, Mason BA, Leburton JP: Phys Rev B. 1989, 40: 12001. Bibcode number [1989PhRvB..4012001B] 10.1103/PhysRevB.40.12001

  5. 5.

    Borzdov AV, Pozdnyakov DV, Galenchik VO, Borzdov VM, Komarov FF: Phys. Stat. Sol. (b). 2005, 242: R134. ; COI number [1:CAS:528:DC%2BD2MXhtleqt7vN]; Bibcode number [2005PSSBR.242R.134B] 10.1002/pssb.200541036

  6. 6.

    Pozdnyakov DV, Galenchik VO: Phys Low-Dim Struct. 2006, 1: 17.

  7. 7.

    Pozdnyakov DV, Galenchik VO, Borzdov VM, Komarov FF, Zhevnyak OG: Phys. Low-Dim Struct.. 2006, 1: 19.

  8. 8.

    Pozdnyakov DV, Galenchik VO, Borzdov AV: Phys. Low-Dim Struct.. 2006, 2: 87.

  9. 9.

    Davydov AS: Quantum Mechanics. Nauka, Moscow in Russian; 1973.

  10. 10.

    Bohm D: Quantum Theory. Prentice-Hall, New York; 1952.

  11. 11.

    L.P. Kadanoff, G. Baym, Quantum Statistical Mechanics. Green’s Function Methods in Equilibrium and Nonequilibrium Problems (W. A. Benjamin, New York, 1962)

  12. 12.

    Jacoboni C, Lugli P: The Monte Carlo Method for Semiconductor Device Simulation. Springer-Verlag Wien, New York; 1989.

  13. 13.

    Hess K: Monte Carlo Device Simulation: Full Band and Beyond. Kluwer Academic Publishers, Boston Dordrecht London; 1991.

  14. 14.

    Ziman JM: Electrons and Phonons The Theory of Transport Phenomena in Solids. Oxford University Press, Oxford; 2001.

  15. 15.

    Stroscio MA, Dutta M: Phonons in Nanostructures. Cambridge University Press, Cambridge; 2001.

  16. 16.

    Mensky MB: Quantum Measurements and Decoherence Models and Phenomenology. Kluwer Academic Publishers, Boston Dordrecht London; 2000.

  17. 17.

    Pozdnyakov DV, Borzdov VM: Phys Solid State. 2003, 45: 2348. COI number [1:CAS:528:DC%2BD3sXpvFeit7w%3D] 10.1134/1.1635510

  18. 18.

    Feynman RP, Hibbs AR: Quantum Mechanics and Path Integrals. McGraw-Hill Book Company, New York; 1965.

  19. 19.

    Hertel T, Moos G: Phys. Rev. Lett.. 2000, 84: 5002. ; COI number [1:CAS:528:DC%2BD3cXjs1SltLc%3D]; Bibcode number [2000PhRvL..84.5002H] 10.1103/PhysRevLett.84.5002

Download references

Author information

Correspondence to Dmitry Pozdnyakov.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Pozdnyakov, D., Galenchik, V., Borzdov, A. et al. Influence of scattering processes on electron quantum states in nanowires. Nanoscale Res Lett 2, 213 (2007) doi:10.1007/s11671-007-9055-7

Download citation

Keywords

  • Nanowire
  • Electron scattering
  • Electron quantum states
  • Collisional broadening
  • Quantum correlations