Journal of Physical Chemistry, Vol.98, No.10, 2503-2507, 1994
Models of Anderson Localization
Anderson localization is the phenomenon whereby static disorder in a single-particle Hamiltonian for an infinite system causes eigenstates to be localized in space. The localization threshold is defined as the amount of disorder at which all states become localized. In this article we consider a variety of disordered tight-binding models, where the disorder is in the site energies or in the positions of the sites. These include lattice and continuum models with and without correlated disorder. For each model we use the finite-size scaling/quantum connectivity approach to calculate the localization threshold. The results for different models are contrasted and compared.
Keywords:METAL-INSULATOR-TRANSITION;MULTIFRACTAL WAVE-FUNCTIONS;ELECTRONIC EXCITATIONS;3-DIMENSIONAL SYSTEMS;DISORDERED-SYSTEMS;PERCOLATION;RENORMALIZATION;ABSENCE;SOLIDS;PHONON