Quantum Theory of Electron Transport in Mesoscopic Systems.

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1996
Accession Number
ADA324456

Entities

People

  • Antonio Abramo
  • Carlo Jacoboni
  • Paolo Bordone

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundaries
  • Cavity Resonators
  • Contracts
  • Dynamics
  • Electrons
  • Equations
  • Geometry
  • Military Research
  • Quantum Mechanics
  • Quantum Tunneling
  • Scattering
  • Transport Ships
  • Tunnel Diodes
  • Two Dimensional
  • Wave Functions
  • Wave Packets

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Quantum Computing