Lyapunov stability of charge transport in miniband semiconductor superlattices
نویسندگان
چکیده
منابع مشابه
Miniband transport and oscillations in semiconductor superlattices
We present and analyse solutions of a recent derivation of a drift-diffusion model of miniband transport in strongly coupled superlattices. The model is obtained from a single-miniband Boltzmann–Poisson transport equation with a BGK (Bhatnagar–Gross–Krook) collision term by means of a consistent Chapman–Enskog expansion. The reduced drift-diffusion equation is solved numerically and travelling ...
متن کاملMaximum Entropy Closure of Balance Equations for Miniband Semiconductor Superlattices
Charge transport in nanosized electronic systems is described by semiclassical or quantum kinetic equations that are often costly to solve numerically and difficult to reduce systematically to macroscopic balance equations for densities, currents, temperatures and other moments of macroscopic variables. The maximum entropy principle can be used to close the system of equations for the moments b...
متن کاملElectron Transport in Semiconductor Superlattices
In this paper, we rigorously derive a diffusion model for semiconductor superlattices, starting from a kinetic description of electron transport at the microscopic scale. Electron transport in the superlattice is modelled by a collisionless Boltzmann equation subject to a periodic array of localized scatters modeling the periodic heterogeneities of the material. The limit of a large number of p...
متن کاملMiniband quantum transport in semiconductor nanodevices under broadband illumination
A general theoretical framework for the modelling of miniband transport in semiconductor nanostructures under broadband illumination is presented. Our approach is based on the multi-subband three-dimensional Boltzmann transport equation and allows to investigate both the steady-state and the time-dependent dynamics. The model has been succesfully applied to the problem of the design and optimiz...
متن کاملTheory of nonlinear charge transport, wave propagation, and self-oscillations in semiconductor superlattices
Nonlinear charge transport in semiconductor superlattices under strong electric fields parallel to the growth direction results in rich dynamical behaviour including the formation of electric field domains, pinning or propagation of domain walls, self-sustained oscillations of the current and chaos. Theories of these effects use reduced descriptions of transport in terms of average charge densi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2013
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.88.165304