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 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.
Highlights
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
Let us postulate Eq (2) using the scattering rates derived taking into account the high-order quantum effects. To do it we use the results of Refs. [5,6,7,8]. In these studies the scattering rates in GaAs quantum wires have been calculated taking into consideration the collisional broadening of the initial electron quantum states
The expressions for calculation of the rates of elastic Wel and inelastic We/a electron scattering derived in the framework of the approximation of stable one-particle quantum states in the one-dimensional electron gas in the quantum limit and thermodynamic equilibrium are presented in the following explicit form: WielðEÞ 1⁄4 CielqðE; DEðEÞÞ Miel=fðk0ðDEðEÞ=2ÞÞ2þ Mei l=bðk0ðE þ DEðEÞ=2ÞÞ2!ð1 À fFðEÞÞ; ð9Þ
Summary
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. At the same time while developing a similar model of electron transport in nanowires, taking into account the high-order quantum effects (the collisional broadening and the quantum correlations between scattering events)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
