Localization in weakly coupled planes and weakly coupled wires

Autor:	Eleftherios N. Economou, Qiming Li, Costas M. Soukoulis, I. Zambetaki
Rok vydání:	1997
Předmět:	Physics Condensed matter physics Transfer-matrix method (optics) Conductance Scaling theory Anisotropy Anderson impurity model
Zdroj:	Physical Review B. 56:12221-12231
ISSN:	1095-3795 0163-1829
DOI:	10.1103/physrevb.56.12221
Popis:	We investigate the localization behavior of the Anderson model with anisotropic hopping integral t for weakly coupled planes and weakly coupled chains both numerically with the transfer matrix method and analytically within the self-consistent theory of localization. It is found that the mobility edge is independent of the propagating direction. However, the correlation j ~localization Lc) length in the extended ~localized! side of the transition can be very different for the two directions. We find that j i5t2j' and Lc '5tLc i , in agreement with the scaling theory of localization. We discuss how this can possibly explain the transport properties of high-Tc materials. The critical disorder Wc is found to vary as t 1/4 for weakly coupled planes and as t for weakly coupled chains. A discrepancy with the predictions of a diagrammatic analysis on the conductance ratio is discussed. @S0163-1829~97!03544-3#
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7897aa98efaa10ddeae0704a7cb6fb09 https://doi.org/10.1103/physrevb.56.12221 Zobrazit plný text záznamu