Nonlinear Electron and Spin Transport in Semiconductor Superlattices

DOI10.1137/080714312zbMath1162.82323arXiv0807.3900OpenAlexW2953135300MaRDI QIDQ5901606

Mariano Alvaro, Luigi Barletti, Luis L. Bonilla

Publication date: 30 April 2009

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3900

zbMATH Keywords

Chapman-Enskog methodRashba spin-orbit interactionpropagation of pulsesquantum BGK modelmodified Kane modelquantum drift-diffusion equationsspin oscillator

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of semiconductors (82D37) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Motion of charged particles (78A35)

Related Items (7)

Diffusive Limits for a Quantum Transport Model with a Strong Field ⋮ Numerical methods for kinetic equations in semiconductor superlattices ⋮ Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann–BGK descriptions of semiconductor superlattices ⋮ Diffusive limit of the two-band \(k\cdot p\) model for semiconductors ⋮ Self-sustained current oscillations in the kinetic theory of semiconductor superlattices ⋮ Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals ⋮ Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors

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