An analytical and numerical investigation of the dissipative chaos in semiconductor superlattices

HEIDARI, A. and BEG, Osman (2011). An analytical and numerical investigation of the dissipative chaos in semiconductor superlattices. International Journal of Applied Mathematics and Mechanics, 7 (18), 22-37.

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Abstract

The transport of electrons in a semiconductor superlattice miniband under the influence of electrical and magnetic fields, which are applied in different directions on the superlattice, is investigated. The time series diagrams and the Lyapunov exponent are computed using the fourth-order Runge-Kutta method. The numerical computations show that for particular values of the parameters, which depend on the superlattice characteristics and the fields applied on them, electrons show chaotic behaviors. In addition, for some other parameter values these behaviors become regular and non-chaotic. The presence of a magnetic field, perpendicular to the electrical field, is shown to reduce the chaotic areas in the motion of the electron. An alteration in electron average energy and velocity is attributed to application of the external fields, carrier scattering from other carriers, and the phonons’ and lattices’ faults. The study has important applications in computational physics and semi-conductor chaotic simulations.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Depositing User:	Helen Garner
Date Deposited:	24 Oct 2011 12:14
Last Modified:	24 Oct 2011 13:02
URI:	http://shura.shu.ac.uk/id/eprint/3926

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