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Influence of scattering processes on electron quantum states in nanowires

Dmitry Pozdnyakov*, Vadim Galenchik, Andrei Borzdov, Vladimir Borzdov and Fadei Komarov

Author Affiliations

Radiophysics and Electronics Department, Belarus State University, Nezavisimosty av. 4, 220030, Minsk, Belarus

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Nanoscale Research Letters 2007, 2:213-218  doi:10.1007/s11671-007-9055-7

The electronic version of this article is the complete one and can be found online at:

Received:29 December 2006
Accepted:23 March 2007
Published:20 April 2007

© 2007 to the authors


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 seto 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

Nano Express



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