Quantum Theory of Electron Transport in Mesoscopic Systems.
Final rept. May 95-Apr 96,
ISTITUTO NAZIONALE PER LA FISICA DELLA MATERIA GENOA (ITALY)
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The purpose of the work done under this contract has been to develop a general approach to the analysis of quantum transport in mesoscopic structures, allowing the extension to the quantum case of the methodologies assessed in the field of semiclassical electron transport. This aim has been pursued in the frame of the Wigner function formalism. The main feature of the chosen approach is to include the potential profile in the unperturbed Hamiltonian, leaving to the perturbed one the scattering terms only. This goal has been already partially achieved in the one dimensional case, while for the two dimensional one, only the coherent unperturbed dynamics has been investigated so far. As for the one dimensional case, the dynamics of a travelling wave packet subject to a single phonon scattering has been investigated. Furthermore, the iterative solution at first order in the electron-phonon interaction of the resulting Wigner dynamics has been analyzed for an open boundary one dimensional system. Finally, coherent transport in open boundary two dimensional system has been widely investigated. In this report we will illustrate the principal theoretical achievements obtained during this contract period, together with the main application results.
- Quantum Theory and Relativity