Simple electron-electron scattering in non-equilibrium Green's function simulations

Progress in Non-equilibrium Green's Functions

Winge, David O.^1 ; Franckié, Martin^1 ; Verdozzi, Claudio^1 ; Wacker, Andreas^1 ; Pereira, Mauro F.^2

Division of Mathematical Physics, Department of Physics, Lund University, Box 118, Lund

SE-221 00, Sweden^1

Materials and Engineering Research Institute, Sheffield Hallam University, City Campus, Howard Street, Sheffield

S1 1WB, United Kingdom^2

关键词: Conduction band electrons;    Coulomb potential;    Doping concentration;    Electron-electron scattering;    Hartree-Fock levels;    Non-equilibrium Green's function;    Plasmon dispersion;    Pole approximation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/696/1/012013/pdf
DOI  :  10.1088/1742-6596/696/1/012013

来源: IOP

【 摘 要 】

In this work we include electron-electron interaction beyond Hartree-Fock level in our non-equilibrium Green's function approach by a crude form of GW through the Single Plasmon Pole Approximation. This is achieved by treating all conduction band electrons as a single effective band screening the Coulomb potential. We describe the corresponding self-energies in this scheme for a multi-subband system. In order to apply the formalism to heterostructures we discuss the screening and plasmon dispersion in both 2D and 3D systems. Results are shown for a four well quantum cascade laser with different doping concentration where comparisons to experimental findings can be made.