Localization in different models for one-dimensional incommensurate systems
- 15 March 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 29 (6) , 3111-3116
- https://doi.org/10.1103/physrevb.29.3111
Abstract
We have studied the localization properties of one-dimensional incommensurate systems within the tight-binding approximation with first-neighbor interactions for several modulation functions: sawtooth, zigzag, and solitonlike functions. We show that the localization properties are strongly dependent on the type of modulation used. In the case of a solitonlike system we also studied the charge distribution, finding that electronic charge has the tendency to localize on dislocations.Keywords
This publication has 8 references indexed in Scilit:
- Electronic density of states of incommensurate-disordered systemsPhysical Review B, 1983
- Localization Problem in One Dimension: Mapping and EscapePhysical Review Letters, 1983
- Localization in an Incommensurate Potential: An Exactly Solvable ModelPhysical Review Letters, 1982
- Localization in One-Dimensional Lattices in the Presence of Incommensurate PotentialsPhysical Review Letters, 1982
- Unusual band structure and exotic electrical conduction for electrons in incommensurate lattice potentialsSolid State Communications, 1981
- Statics and dynamics of incommensurate latticesPhysical Review B, 1978
- Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered SystemProgress of Theoretical Physics Supplement, 1973
- The Vibrational Properties of Disordered Systems: Numerical StudiesReviews of Modern Physics, 1972