Volume 41, Number 3, february I 1998
|Page(s)||321 - 326|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Giant electronic stop bands in one-dimensional comblike structures
Laboratoire de Dynamique et Structures des Matériaux
Moléculaires, URA CNRS No. 801, UFR de Physique, Université de Lille I,
F-59655 Villeneuve d'Ascq Cedex, France
2 Institute of Physics, University of Puebla, P.O. Box J-48, Puebla 72570, Mexico
Accepted: 12 December 1997
We report the existence of gaps in the band structure of a comblike structure of a one-dimensional electronic waveguide with N' dangling side branches grafted at N equidistant sites. These gaps originate both from the periodicity of the system and the resonance states of the grafted branches (which play the role of resonators). The width of the gaps depends on the length of the resonators as well as on the numbers N and N'. We stress on the tailoring of widths of the passbands (and hence the stop bands) owing to the variation of N and N'. Analytic expressions are given for the band structure for large N and for the transmission coefficients for an arbitrary value of N and N'. Analytical as well as numerical results demonstrate the opening-up of giant gaps in the band structure which are found to be justifiable from the transmission spectra.
PACS: 73.20.Dx – Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers) / 73.23.Ps – Other electronic properties of mesoscopic systems / 73.20.At – Surface states, band structure, electron density of states
© EDP Sciences, 1998
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