Open Access

Influence of scattering processes on electron quantum states in nanowires

  • Dmitry Pozdnyakov1Email author,
  • Vadim Galenchik1,
  • Andrei Borzdov1,
  • Vladimir Borzdov1 and
  • Fadei Komarov1
Nanoscale Research Letters20072:213

DOI: 10.1007/s11671-007-9055-7

Received: 29 December 2006

Accepted: 23 March 2007

Published: 20 April 2007


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.


Nanowire Electron scattering Electron quantum states Collisional broadening Quantum correlations


Authors’ Affiliations

Radiophysics and Electronics Department, Belarus State University


  1. Haque A, Quddus MR: Solid-State Electron. 2001, 45: 519. COI number [1:CAS:528:DC%2BD3MXislKqs70%3D] 10.1016/S0038-1101(01)00030-2View ArticleGoogle Scholar
  2. Rotkin SV, Hess K: Appl. Phys. Lett. 2004, 84: 3139. ; COI number [1:CAS:528:DC%2BD2cXjtFyhtL4%3D]; Bibcode number [2004ApPhL..84.3139R] 10.1063/1.1710717View ArticleGoogle Scholar
  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.2006.03.158View ArticleGoogle Scholar
  4. Briggs S, Mason BA, Leburton JP: Phys Rev B. 1989, 40: 12001. Bibcode number [1989PhRvB..4012001B] 10.1103/PhysRevB.40.12001View ArticleGoogle Scholar
  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.200541036View ArticleGoogle Scholar
  6. Pozdnyakov DV, Galenchik VO: Phys Low-Dim Struct. 2006, 1: 17.Google Scholar
  7. Pozdnyakov DV, Galenchik VO, Borzdov VM, Komarov FF, Zhevnyak OG: Phys. Low-Dim Struct.. 2006, 1: 19.Google Scholar
  8. Pozdnyakov DV, Galenchik VO, Borzdov AV: Phys. Low-Dim Struct.. 2006, 2: 87.Google Scholar
  9. Davydov AS: Quantum Mechanics. Nauka, Moscow in Russian; 1973.Google Scholar
  10. Bohm D: Quantum Theory. Prentice-Hall, New York; 1952.Google Scholar
  11. L.P. Kadanoff, G. Baym, Quantum Statistical Mechanics. Green’s Function Methods in Equilibrium and Nonequilibrium Problems (W. A. Benjamin, New York, 1962)Google Scholar
  12. Jacoboni C, Lugli P: The Monte Carlo Method for Semiconductor Device Simulation. Springer-Verlag Wien, New York; 1989.View ArticleGoogle Scholar
  13. Hess K: Monte Carlo Device Simulation: Full Band and Beyond. Kluwer Academic Publishers, Boston Dordrecht London; 1991.View ArticleGoogle Scholar
  14. Ziman JM: Electrons and Phonons The Theory of Transport Phenomena in Solids. Oxford University Press, Oxford; 2001.View ArticleGoogle Scholar
  15. Stroscio MA, Dutta M: Phonons in Nanostructures. Cambridge University Press, Cambridge; 2001.View ArticleGoogle Scholar
  16. Mensky MB: Quantum Measurements and Decoherence Models and Phenomenology. Kluwer Academic Publishers, Boston Dordrecht London; 2000.View ArticleGoogle Scholar
  17. Pozdnyakov DV, Borzdov VM: Phys Solid State. 2003, 45: 2348. COI number [1:CAS:528:DC%2BD3sXpvFeit7w%3D] 10.1134/1.1635510View ArticleGoogle Scholar
  18. Feynman RP, Hibbs AR: Quantum Mechanics and Path Integrals. McGraw-Hill Book Company, New York; 1965.Google Scholar
  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.84.5002View ArticleGoogle Scholar


© to the authors 2007