Quantitative measure of the electron localization in disordered systems with long-range hopping
- 15 May 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 27 (10) , 6158-6165
- https://doi.org/10.1103/physrevb.27.6158
Abstract
Exact numerical solution of a chain of 340 atoms has been obtained to study the electron localization in a disordered system with long-range hopping. The moment and the inverse participation ratio are calculated to check the electron localization and then compared with the end component ratio. In contrast to the random system with short-range hopping, we discover that the states in the bulk part of the density of states are mostly localized while those in the tail are mostly extended.Keywords
This publication has 11 references indexed in Scilit:
- Electron localisation in finite quasi-one-dimensional systemsJournal of Physics C: Solid State Physics, 1981
- Microscopic Calculation of Localized Electron States in an Intrinsic GlassPhysical Review Letters, 1981
- Numerical studies on the anderson localization problemZeitschrift für Physik B Condensed Matter, 1979
- Numerical results for electron localization with site-diagonal and off-diagonal disorderSolid State Communications, 1979
- Numerical Study of Electron Localization in Anderson Model for Disordered Systems: Spatial Extension of WavefunctionJournal of the Physics Society Japan, 1977
- New numerical approach to the Anderson localization problemJournal of Physics C: Solid State Physics, 1976
- Compton-effect cross section for the electron gas: collective to single-particle transitionJournal of Physics C: Solid State Physics, 1974
- Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered SystemProgress of Theoretical Physics Supplement, 1973
- Localized states in disordered systemsJournal of Physics C: Solid State Physics, 1971
- Localization of normal modes in vitreous silica, germania and beryllium fluorideJournal of Physics C: Solid State Physics, 1970