Wigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices

Simple item page
dc.creatorBonilla, L. L.
dc.creatorEscobedo, R.
dc.date2005-03-04
dc.date2005-10-21
dc.date.accessioned2026-07-07T06:37:34Z
dc.date.available2026-07-07T06:37:34Z
dc.descriptionA 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.
dc.description20 pages, 1 figure, published as M3AS 15, 1253 (2005) with corrections
dc.identifierhttps://arxiv.org/abs/cond-mat/0503109
dc.identifierhttp://arxiv.org/abs/cond-mat/0503109
dc.identifierMath. Mod. Meth. Appl. Sci. 15 (8), 1253-1272 (2005).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100433
dc.subjectMesoscale and Nanoscale Physics
dc.titleWigner-Poisson and nonlocal drift-diffusion model equations for semiconductor superlattices
dc.typetext

Files

Collections

arXiv