Localization of electronic states in amorphous materials: recursive Green's function method and the metal-insulator transition at E<>0
Abstract
In this paper we will investigate whether the scaling assumptions made in previous studies for the transition at energies outside the band centre can be reconfirmed in numerical calculations, and in particular whether the conductivity sigma follows a power law close to the critical energy E_c. For this purpose we will use the recursive Green's function method to calculate the four-terminal conductance of a disordered system for fixed disorder strength at temperature T=0. Applying the finite-size scaling analysis we will compute the critical exponent and determine the mobility edge, i.e. the MIT outside the band centre.
Keywords
Cite
@article{arxiv.cond-mat/0602300,
title = {Localization of electronic states in amorphous materials: recursive Green's function method and the metal-insulator transition at E<>0},
author = {Alexander Croy and Rudolf A. Roemer and Michael Schreiber},
journal= {arXiv preprint arXiv:cond-mat/0602300},
year = {2020}
}
Comments
24 LaTeX pages in Springer Lecture Notes format (sv* files enclosed), 13 figures, paper will appear as a chapter in "Lecture Notes in Computational Science and Engineering" (Springer, Berlin)