Electrons in disordered systems and the theory of localization

DJ Thouless - Physics Reports, 1974 - Elsevier
This paper gives a review of the theory of noninteracting electrons in a static disordered
lattice. The introductory section gives a brief survey of the main aspects of the problem and …

The theory and properties of randomly disordered crystals and related physical systems

RJ Elliott, JA Krumhansl, PL Leath - Reviews of modern physics, 1974 - APS
We review the methods which have been developed over the past several years to
determine the behavior of solids whose properties vary randomly at the microscopic level …

Lyapunov exponent, mobility edges, and critical region in the generalized Aubry-André model with an unbounded quasiperiodic potential

YC Zhang, YY Zhang - Physical Review B, 2022 - APS
In this work, we investigate the Anderson localization problems of the generalized Aubry-
André model (Ganeshan-Pixley-Das Sarma's model) with an unbounded quasiperiodic …

[BUCH][B] Green's functions in quantum physics

EN Economou - 2006 - books.google.com
The main part of this book is devoted to the simplest kind of Green's functions, namely the
solutions of linear differential equations with a-function source. It is shown that these familiar …

A selfconsistent theory of localization

R Abou-Chacra, DJ Thouless… - Journal of Physics C …, 1973 - iopscience.iop.org
A new basis has been found for the theory of localization of electrons in disordered systems.
The method is based on a selfconsistent solution of the equation for the self energy in …

Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials

JB Sokoloff - Physics Reports, 1985 - Elsevier
The subject of electronic and phonon states in crystals with incommensurate periodic
potentials is reviewed. The emphasis is on the physics behind the various theoretical …

Percolation theory and conductivity of strongly inhomogeneous media

BI Shklovskiĭ, AL Éfros - Soviet Physics Uspekhi, 1975 - iopscience.iop.org
Percolation theory is the name given a new mathematical discipline, initiated in 1957 and
found to be unusually productive in the physics of inhomogeneous systems. The main …

The anderson transition

NF Mott, M Pepper, S Pollitt… - Proceedings of the …, 1975 - royalsocietypublishing.org
An outline is given of the electrical properties expected in a disordered solid or fluid which
shows a metal-insulator transition of Anderson type. This is one in which the Fermi energy of …

Nuclear magnetic relaxation and the internal geometry of sedimentary rocks

MH Cohen, KS Mendelson - Journal of Applied Physics, 1982 - pubs.aip.org
In this paper we study nuclear magnetic relaxation in the pore fluid within a detrital
sedimentary rock. Bloch equations are introduced for the magnetization and solved for the …

[BUCH][B] Principles of the theory of lattice dynamics

H Böttger - 1983 - books.google.com
Much progress has been achieved during the last two decades in the theoretical
understanding of dynamical properties of solids, especially of disordered and anharmonic …