Generalized Rauzy tilings: construction and electronic properties

Authors
Vidal, J Mosseri, R
Citation
J. Vidal et R. Mosseri, Generalized Rauzy tilings: construction and electronic properties, MAT SCI E A, 294, 2000, pp. 572-575
Citations number
15
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
572 - 575
Database
ISI
SICI code
0921-5093(200012)294:<572:GRTCAE>2.0.ZU;2-4
Abstract
We study a new class of quasiperiodic codimension one tilings based on a na tural generalization of the Fibonacci chain. These so-called generalized Ra uzy tilings allow for simple and explicit expressions of the site coordinat es, and their associated tight-binding Hamiltonians are quickly written as band (Toeplitz-like) matrices. First results are given for their electronic properties which display similar behaviors as higher codimension tilings. (C) 2000 Elsevier Science B.V. All rights reserved.