SELF-SIMILAR BEHAVIOR IN SEMICONDUCTOR SUPERLATTICES

Author:

CASTRO-PALACIO JUAN C.1,VILLATORO FRANCISCO R.2,MENDOZA-YERO OMEL3,VELÁZQUEZ-ABAD LUISBERIS4,MONSORIU JUAN A.5

Affiliation:

1. Departamento de Física, Universidad de Pinar del Río, Martí 270, Esq. 27 de Noviembre, Pinar del Río, Cuba. CP-20100, Cuba

2. Departamento de Lenguajes y Ciencias de la Computación, Universidad de Málaga, E-29071 Málaga, Spain

3. GROC UJI, Departament de Física, Universitat Jaume I, E12080 Castelló, Spain

4. Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile

5. Centro de Tecnologías Físicas, Universitat Politècnica de València, E-46022 Valencia, Spain

Abstract

The scattering of particles in fractal superlattices has been analyzed by means of the transfer matrix method. The fractal superlattice consists of alternating layers of semiconductor materials following the rule of a Cantor set. This problem can be represented by a model of quantum particles scattering in piecewise constant potential wells. Fractal properties of the reflection coefficient versus the particle energy curves are examined comparatively to the curves when using the corresponding periodic potentials. The degree of self-similarity of the output variables has been quantified by means of the correlation function.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Reference25 articles.

1. High-Speed Heterostructure Devices

2. Man‐made quantum wells: A new perspective on the finite square‐well problem

3. P. S. Zory Jr., Quantum Well Lasers (Academic Press, New York, 1993) pp. 1–13.

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