Self-sustained current oscillations in the kinetic theory of semiconductor superlattices

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Cebrian, E.²  Bonilla, L. L.¹  Carpio, A.³ 

[1] Univ Carlos III Madrid, G Millan Inst Fluid Dynam Nanosci & Ind Math, Leganes 28911, Spain

[2] Univ Burgos, Dept Matemat & Computac, Burgos 09001, Spain

[3] Univ Complutense Madrid, Dept Matemat Aplicada, Fac Matemat, E-28040 Madrid, Spain

关键词: Semiconductor superlattice;    Boltzmann-BGK-Poisson kinetic equation;    Contact boundary conditions;    Self-sustained current oscillations;    Particle methods;   

DOI  :  10.1016/j.jcp.2009.07.008

来源: Elsevier

【 摘 要 】

We present the first numerical solutions of a kinetic theory description of self-sustained current oscillations in n-doped semiconductor superlattices. The governing equation is a single-miniband Boltzmann-Poisson transport equation with a BGK (Bhatnagar-Gross-Krook) collision term. Appropriate boundary conditions for the distribution function describe electron injection in the contact regions. These conditions seamlessly become Ohm's law at the injecting contact and the zero charge boundary condition at the receiving contact when integrated over the wave vector. The time-dependent model is numerically solved for the distribution function by using the deterministic Weighted Particle Method. Numerical simulations are used to ascertain the convergence of the method. The numerical results confirm the validity of the Chapman-Enskog perturbation method used previously to derive generalized drift-diffusion equations for high electric fields because they agree very well with numerical solutions thereof. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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