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- W4301517177 abstract "An implicit Euler finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors is analyzed. The model consists of strongly coupled parabolic equations for the electron density matrix or, alternatively, of weakly coupled equations for the charge and spin-vector densities, coupled to the Poisson equation for the elec-tric potential. The equations are solved in a bounded domain with mixed Dirichlet-Neumann boundary conditions. The charge and spin-vector fluxes are approximated by a Scharfetter-Gummel discretization. The main features of the numerical scheme are the preservation of positivity and L $infty$ bounds and the dissipation of the discrete free energy. The existence of a bounded discrete solution and the monotonicity of the discrete free energy are proved. For undoped semiconductor materials, the numerical scheme is uncon-ditionally stable. The fundamental ideas are reformulations using spin-up and spin-down densities and certain projections of the spin-vector density, free energy estimates, and a discrete Moser iteration. Furthermore, numerical simulations of a simple ferromagnetic-layer field-effect transistor in two space dimensions are presented." @default.
- W4301517177 created "2022-10-05" @default.
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- W4301517177 date "2015-02-19" @default.
- W4301517177 modified "2023-10-16" @default.
- W4301517177 title "A Finite-Volume Scheme for a Spinorial Matrix Drift-Diffusion Model for Semiconductors" @default.
- W4301517177 doi "https://doi.org/10.48550/arxiv.1502.05639" @default.
- W4301517177 hasPublicationYear "2015" @default.
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