Nonlinear Electron and Spin Transport in Semiconductor Superlattices

@article{Bonilla2008NonlinearEA,
  title={Nonlinear Electron and Spin Transport in Semiconductor Superlattices},
  author={Luis L. Bonilla and Luigi Barletti and M. Alvaro},
  journal={SIAM J. Appl. Math.},
  year={2008},
  volume={69},
  pages={494-513}
}
Nonlinear charge transport in strongly coupled semiconductor super lattices is described by two-miniband Wigner-Poisson kinetic equations with BGK collision terms. The hyperbolic limit, in which the collision frequencies are of the same order as the Bloch frequencies due to the electric field, is investigated by means of the Chapman-Enskog perturbation technique, leading to nonlinear drift-diffusion equations for the two miniband populations. In the case of a lateral superlattice with spin… 

Figures from this paper

Two miniband model for self-sustained oscillations of the current through resonant-tunneling semiconductor superlattices

A two miniband model for electron transport in semiconductor superlattices that includes scattering and interminiband tunnelling is proposed. The model is formulated in terms of Wigner functions in a

Diffusive Limits for a Quantum Transport Model with a Strong Field

We derive semiclassical diffusive equations for the local electron densities in a semiconductor characterized by a two-band k·p Hamiltonian, under the action of a strong external field. By using a

Maximum Entropy Closure of Balance Equations for Miniband Semiconductor Superlattices

TLDR
The differences between the numerical solutions produced by numerically solving both types of balance equations for nonlinear electron transport in semiconductor superlattices are smaller than the expansion parameter used in the perturbation procedure.

Semiclassical hydrodynamics of a quantum Kane model for semiconductors

In this paper we derive a semiclassical hydrodynamic system for electron densities and currents in the two energy bands of a semiconductor. We use the semiclassical Wigner equation with a k.p

Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors

The global-in-time existence and uniqueness of bounded weak solutions to a spinorial matrix drift–diffusion model for semiconductors is proved. Developing the electron density matrix in the Pauli

Large-time asymptotics for a matrix spin drift-diffusion model

2DEG-3DEG Charge Transport Model for MOSFET Based on the Maximum Entropy Principle

TLDR
An energy-transport model based on the maximum entropy principle is derived for the simulation of a nanoscale metal-oxide-semiconductor field-effect transistor (MOSFET) and a fictitious transition from the 3D to the 2D electrons and vice versa is introduced.

Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann–BGK descriptions of semiconductor superlattices

Semiconductor superlattices (SL) may be described by a Boltzmann–Poisson kinetic equation with a Bhatnagar–Gross–Krook (BGK) collision term which preserves charge, but not momentum or energy. Under

Application of MEP to Charge Transport in Graphene

The last years have witnessed a great interest in 2D-materials for their promising applications. The most investigated one is graphene, but lately also the single-layer transition metal

References

SHOWING 1-10 OF 25 REFERENCES

Generalized drift-diffusion model for miniband superlattices

A drift-diffusion model of miniband transport in strongly coupled superlattices is derived from the single-miniband Boltzmann-Poisson transport equation with a Bhatnagar-Gross-Krook collision term.

Bloch oscillations of electrons and instability of space-charge waves in superconductor superlattices

A kinetic approach is used to investigate the instability of space-charge waves in semiconductor superlattices in a strong electric field that induces Bloch oscillations in the minibands. Solution of

WIGNER-POISSON AND NONLOCAL DRIFT-DIFFUSION MODEL EQUATIONS FOR SEMICONDUCTOR SUPERLATTICES

A Wigner–Poisson kinetic equation describing charge transport in doped semiconductor superlattices is proposed. Electrons are assumed to occupy the lowest miniband, exchange of lateral momentum is

Semiconductor superlattices: a model system for nonlinear transport

Field-domain spintronics in magnetic semiconductor multiple quantum wells

We develop a theory of nonlinear growth direction transport in magnetically doped II-VI compound semiconductor multiple-quantum-well systems. We find that the formation of electric field domains can

Numerical Methods for a Quantum Drift–diffusion Equation in Semiconductor Physics

We present the numerical methods and simulations used to solve a charge transport problem in semiconductor physics. The problem is described by a Wigner–Poisson kinetic system we have recently

Non-linear dynamics of semiconductor superlattices

In the last decade, non-linear dynamical transport in semiconductor superlattices (SLs) has witnessed significant progress in theoretical descriptions as well as in experimentally observed non-linear

Quantum Kinetics in Transport and Optics of Semiconductors

to Kinetics and Many-Body Theory.- Boltzmann Equation.- Numerical Solutions of the Boltzmann Equation.- Equilibrium Green Function Theory.- Nonequilibrium Many-Body Theory.- Contour-Ordered Green

Multi-quantum-well spin oscillator

A dc voltage biased II-VI semiconductor multi-quantum-well structure attached to normal contacts exhibits self-sustained spin polarized current oscillations if one or more of its wells are doped with

Photon-assisted transport in semiconductor nanostructures