Electronic spectrum of the two-dimensional Fibonacci lattice

Authors
Vekilov, YK Isaev, EI Gordeev, IA
Citation
Yk. Vekilov et al., Electronic spectrum of the two-dimensional Fibonacci lattice, MAT SCI E A, 294, 2000, pp. 553-555
Citations number
3
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Material Science & Engineering
Journal title
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
ISSN journal
09215093 → ACNP
Volume
294
Year of publication
2000
Pages
553 - 555
Database
ISI
SICI code
0921-5093(200012)294:<553:ESOTTF>2.0.ZU;2-E
Abstract
The electron spectrum and wave functions of the two-dimensional Fibonacci l attice with "central" and "vertex" decorations are considered. The energy s pectrum contains a singular parr hut does not contain a hierarchical gap st ructure. The measure of permittable states of the spectrum (the Lebesgue me asure) is not equal to zero and in the case of central decoration is close to unity. Most of the wave functions are critical. (C) 2000 Elsevier Scienc e B.V. All rights reserved.