Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-03-04
Math. Mod. Meth. Appl. Sci. 15 (8), 1253-1272 (2005).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
20 pages, 1 figure, published as M3AS 15, 1253 (2005) with corrections
Scientific paper
A Wigner-Poisson kinetic equation describing charge transport in doped semiconductor superlattices is proposed. Electrons are supposed to occupy the lowest miniband, exchange of lateral momentum is ignored and the electron-electron interaction is treated in the Hartree approximation. There are elastic collisions with impurities and inelastic collisions with phonons, imperfections, etc. The latter are described by a modified BGK (Bhatnagar-Gross-Krook) collision model that allows for energy dissipation while yielding charge continuity. In the hyperbolic limit, nonlocal drift-diffusion equations are derived systematically from the kinetic Wigner-Poisson-BGK system by means of the Chapman-Enskog method. The nonlocality of the original quantum kinetic model equations implies that the derived drift-diffusion equations contain spatial averages over one or more superlattice periods. Numerical solutions of the latter equations show self-sustained oscillations of the current through a voltage biased superlattice, in agreement with known experiments.
Bonilla Luis L.
Escobedo Ramón
No associations
LandOfFree
Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-200867