Finite Size Scaling Analysis of the Anderson Transition
Mesoscale and Nanoscale Physics
2015-05-18 v1 Disordered Systems and Neural Networks
Abstract
This chapter describes the progress made during the past three decades in the finite size scaling analysis of the critical phenomena of the Anderson transition. The scaling theory of localisation and the Anderson model of localisation are briefly sketched. The finite size scaling method is described. Recent results for the critical exponents of the different symmetry classes are summarised. The importance of corrections to scaling are emphasised. A comparison with experiment is made, and a direction for future work is suggested.
Cite
@article{arxiv.1004.0285,
title = {Finite Size Scaling Analysis of the Anderson Transition},
author = {Bernhard Kramer and Angus MacKinnon and Tomi Ohtsuki and Keith Slevin},
journal= {arXiv preprint arXiv:1004.0285},
year = {2015}
}
Comments
12 pages, 1 figure. "Fifty Years of Anderson localization", edited by E. Abrahams (World Scientific, Singapore, 2010)