Quantum drift-diffusion modeling of spin transport in nanostructures

DOI10.1063/1.3380530zbMath1310.82041OpenAlexW1975388838MaRDI QIDQ5249533

Florian Méhats, Luigi Barletti

Publication date: 6 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c8a8d4dd15552e8827321ba1055d203d3b6cc3f0

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Diffusion processes (60J60) Transport processes in time-dependent statistical mechanics (82C70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (16)

Formal derivation of quantum drift-diffusion equations with spin-orbit interaction ⋮ Diffusive Limits for a Quantum Transport Model with a Strong Field ⋮ Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit ⋮ Mathematical Analysis of a Nonparabolic Two-Band Schrödinger-Poisson Problem ⋮ Hydrodynamic models with quantum corrections ⋮ Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics ⋮ A quantum drift-diffusion model and its use into a hybrid strategy for strongly confined nanostructures ⋮ Quantum electronic transport in graphene: A kinetic and fluid-dynamic approach ⋮ Diffusive limit of the two-band \(k\cdot p\) model for semiconductors ⋮ An inverse problem in quantum statistical physics ⋮ A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors ⋮ Large-time asymptotics for a matrix spin drift-diffusion model ⋮ 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 ⋮ Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction ⋮ Quantum Atomistic Approach for Interacting Spins

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