Diffusion models for spin transport derived from the spinor Boltzmann equation

DOI10.4310/CMS.2014.v12.n3.a9zbMath1310.35185OpenAlexW2325168513MaRDI QIDQ743938

Raymond El Hajj

Publication date: 2 October 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2014.v12.n3.a9

zbMATH Keywords

spin-orbit couplingdiffusion limitdecoherence limitspin-flip interactionsspin-vector drift-diffusion modelspinor Boltzmann equationtwo-component drift-diffusion model

Mathematics Subject Classification ID

Diffusion (76R50) Statistical mechanics of semiconductors (82D37) Spinor and twistor methods applied to problems in quantum theory (81R25) Boltzmann equations (35Q20)

Related Items (13)

Macroscopic limit of the kinetic Bloch equation ⋮ Formal derivation of quantum drift-diffusion equations with spin-orbit interaction ⋮ Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation ⋮ The Bloch-Torrey limit of a kinetic transport system ⋮ Analysis of a drift-diffusion model with velocity saturation for spin-polarized transport in semiconductors ⋮ A kinetic equation for spin polarized Fermi systems ⋮ Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system ⋮ A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors ⋮ Global weak solutions to Landau-Lifshtiz systems with spin-polarized transport ⋮ Large-time asymptotics for a matrix spin drift-diffusion model ⋮ Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors ⋮ Quantum drift-diffusion modeling of spin transport in nanostructures ⋮ Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction

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