Acoustic and electronic properties of one-dimensional quasicrystals
- 15 August 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (4), 2207-2211
- https://doi.org/10.1103/physrevb.34.2207
Abstract
We study the acoustic and electronic properties of one-dimensional quasicrystals. Both numerical (nonperturbative) and analytical (perturbative) results are shown. The phonon and electronic spectra exhibit a self-similar hierarchy of gaps and many localized states in the gaps. We study quasiperiodic structures with any number of layers and several types of boundary conditions. We discuss the connection between our phonon model and recent experiments on quasiperiodic GaAs-AlAs superlattices. We predict the existence of many gap states localized at the surfaces.This publication has 11 references indexed in Scilit:
- Quasiperiodic GaAs-AlAs HeterostructuresPhysical Review Letters, 1985
- Indexing problems in quasicrystal diffractionPhysical Review B, 1985
- Pentagonal and Icosahedral Order in Rapidly Cooled MetalsScience, 1985
- Comment on "Quasicrystals: A New Class of Ordered Structures"Physical Review Letters, 1985
- Quasicrystals: A New Class of Ordered StructuresPhysical Review Letters, 1984
- Metallic Phase with Long-Range Orientational Order and No Translational SymmetryPhysical Review Letters, 1984
- Renormalization-group analysis of the discrete quasiperiodic Schrödinger equationPhysical Review B, 1984
- Wavefunction scaling in a quasi-periodic potentialJournal of Physics A: General Physics, 1983
- Localization Problem in One Dimension: Mapping and EscapePhysical Review Letters, 1983
- TheQR andQL algorithms for symmetric matricesNumerische Mathematik, 1968