I give an introduction to quantum diffusion and localization properties of eigenvectors of random band matrices. I give a short overview of the Anderson model, followed by a more in-depth discussion of random band matrices. After a survey of recent results, I sketch the main ideas of the proofs. I focus on two approaches: perturbative renormaliz...
Creator:
Knowles, Antti (Harvard University)
Created:
2012-06-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.