Diffusion models for spin transport derived from the spinor Boltzmann equation
type: Item
instance of: scholarly article
title: Diffusion models for spin transport derived from the spinor Boltzmann equation
zbMATH Open document ID: 1310.35185
author: Raymond El Hajj
published in: Communications in Mathematical Sciences
publication date: 2014-10-02T00:00:00Z
review text: The aim of this paper is to derive and analyse diffusion models for semiconductor spintronics. We begin by presenting and studying the so called ``spinor'' Boltzmann equation. Starting then from a rescaled version of linear Boltzmann equation with different spin-flip and non spin-flip collision operators, different continuum (drift-diffusion) models are derived. By comparing the strength of the spin-orbit scattering with the scaled mean free paths, we explain how some models existing in the literature (like the two-component models) can be obtained from the spinor Boltzmann equation. A new spin-vector drift-diffusion model keeping spin relaxation and spin precession effects due to the spin-orbit coupling in semiconductor structures is derived and some of its mathematical properties are checked.
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 82D37
zbMATH DE Number: 6351201
zbMATH Keywords: spinor Boltzmann equation
zbMATH Keywords: spin-orbit coupling
zbMATH Keywords: spin-flip interactions
zbMATH Keywords: diffusion limit
zbMATH Keywords: decoherence limit
zbMATH Keywords: two-component drift-diffusion model
zbMATH Keywords: spin-vector drift-diffusion model
MaRDI profile type: Publication
full work available at URL: cms.2014.v12.n3.a9
OpenAlex ID: W2325168513
DOI: 10.4310/CMS.2014.V12.N3.A9
description: scientific article; zbMATH DE number 6351201