Localization in One-Dimensional Lattices in the Presence of Incommensurate Potentials

12 April 1982

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 48 (15) , 1043-1046
https://doi.org/10.1103/physrevlett.48.1043

Abstract

The density of states and the localized or extended nature of the eigenstates is investigated in one-dimensional crystals with a modulation potential incommensurate with that of the underlying lattice. Studies of the transmission coefficient

T

and of the spatial dependence of the eigenstates show that even in one dimension it is possible to have a mobility edge. The implications of these results on experimentally measured quantities are also discussed.

Keywords

This publication has 15 references indexed in Scilit:

Band structure and localization in incommensurate lattice potentials
Physical Review B, 1981
Static Conductance and Scaling Theory of Localization in One Dimension
Physical Review Letters, 1981
Electron localization in crystals with quasiperiodic lattice potentials
Physical Review B, 1980
Semiconductor superlattices by MBE and their characterization
Progress in Crystal Growth and Characterization, 1979
Quantum Particle in One-Dimensional Potentials with Incommensurate Periods
Physical Review Letters, 1979
GaAs/AlAs layered films
Thin Solid Films, 1979
Elastic neutron scattering of the "phase ordering" phase transition in ${Hg}_{3 - δ} As F_{6}$
Physical Review B, 1978
Cationic Short-Range Order in the Hollandite $K_{1.54}$ ${Mg}_{0.77}$ $T_{7.23}$ $O_{16}$ : Evidence for the Importance of Ion-Ion Interactions in Superionic Conductors
Physical Review Letters, 1976
Charge-density waves and superlattices in the metallic layered transition metal dichalcogenides
Advances in Physics, 1975
Electrical resistance of disordered one-dimensional lattices
Philosophical Magazine, 1970