We present a numerically accurate procedure for the study of the electronic structure of one-dimensional incommensurate systems. Our method is used to infer the localized or extended nature of the electronic states by considering, at the same time, both diagonal and off-diagonal matrix elements of an appropriate effective Hamiltonian; we work out a convenient expression of the Lyapunov coefficient in terms of the off-diagonal effective matrix elements. With the further implementation of separately processing (though interdependently) the appropriate segments of the infinite chain, we provide a simple method to reach any desired numerical precision, so that physical aspects can be clearly worked out. Our procedure is tested on an incommensurate potential that exhibits mobility edges.
|Autori:||FARCHIONI R; GROSSO G; PASTORI PARRAVICINI G|
|Titolo:||ELECTRONIC-STRUCTURE IN INCOMMENSURATE POTENTIALS OBTAINED USING A NUMERICALLY ACCURATE RENORMALIZATION SCHEME|
|Anno del prodotto:||1992|
|Digital Object Identifier (DOI):||10.1103/PhysRevB.45.6383|
|Appare nelle tipologie:||1.1 Articolo in rivista|