Finite Size Scaling Analysis of the Anderson Transition

Details Finite Size Scaling Analysis of the Anderson Transition Finite Size Scaling Analysis of the Anderson Transition

2010-04-02

arxiv.org/abs/1004.0285v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 1 figure. "Fifty Years of Anderson localization", edited by E. Abrahams (World Scientific, Singapore, 2010)

Scientific paper

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.

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