About this paper

Appears in:
Pages: 1404-1410
Publication year: 2013
ISBN: 978-84-616-2661-8
ISSN: 2340-1079

Conference name: 7th International Technology, Education and Development Conference
Dates: 4-5 March, 2013
Location: Valencia, Spain

STUDY OF QUANTUM SUPERLATTICES BASED ON THE FIBONACCI SEQUENCE

J.C. Castro-Palacio, F. Giménez, B. Marí, J.A. Monsoriu

Universitat Politècnica de Valencia (SPAIN)
The transfer matrix method (TMM) has been used to obtain the reflection coefficient spectrum in aperiodic quantum superlattices using a one-dimensional Fibonacci sequence like potential. Results have been explained comparatively to the case when an equivalent finite periodic potential is used. Results indicate that Fibonacci superlattices also yield electronic bandgaps which exhibit a self-similar behavior. The TMM has been found appropriate for computational Physics laboratory in quantum mechanics courses since it allows solving problems related to particle scattering problems at constant piecewise potentials. At the same time the students learn the Physics concepts they are involved with Mathematical concepts and tools, such as: sequences, non conventional geometries, matrices and numerical methods. In this work, students can find a real application of the Fibonacci sequence to the superlattices of research interest nowadays. The golden ratio which is present in the generalized Bragg´s condition is such a "magic number" which has been widely used in Mathematics and in Arts. Additional lectures, including these Fibonacci based structures, are currently given within the course "Condensed Matter Physics" of the Official Master's Degree in Sensors for Industrial Applications at the Universitat Politècnica de València, Spain.
@InProceedings{CASTROPALACIO2013STU,
author = {Castro-Palacio, J.C. and Gim{\'{e}}nez, F. and Mar{\'{i}}, B. and Monsoriu, J.A.},
title = {STUDY OF QUANTUM SUPERLATTICES BASED ON THE FIBONACCI SEQUENCE},
series = {7th International Technology, Education and Development Conference},
booktitle = {INTED2013 Proceedings},
isbn = {978-84-616-2661-8},
issn = {2340-1079},
publisher = {IATED},
location = {Valencia, Spain},
month = {4-5 March, 2013},
year = {2013},
pages = {1404-1410}}
TY - CONF
AU - J.C. Castro-Palacio AU - F. Giménez AU - B. Marí AU - J.A. Monsoriu
TI - STUDY OF QUANTUM SUPERLATTICES BASED ON THE FIBONACCI SEQUENCE
SN - 978-84-616-2661-8/2340-1079
PY - 2013
Y1 - 4-5 March, 2013
CI - Valencia, Spain
JO - 7th International Technology, Education and Development Conference
JA - INTED2013 Proceedings
SP - 1404
EP - 1410
ER -
J.C. Castro-Palacio, F. Giménez, B. Marí, J.A. Monsoriu (2013) STUDY OF QUANTUM SUPERLATTICES BASED ON THE FIBONACCI SEQUENCE, INTED2013 Proceedings, pp. 1404-1410.
User:
Pass: