Critical index of Anderson transition in 3D systems

Details Critical index of Anderson transition in 3D systems Critical index of Anderson transition in 3D systems

2001-04-17

arxiv.org/abs/cond-mat/0104289v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 1 figure

Scientific paper

Anderson transition in three-dimensional systems is investigated using
renormalization group theory. $\beta$-function of a very simple form is derived
from a self-consistent consideration, and it gives a value $1+1/\sqrt{3}=1.58$
for the critical index of the transition, which is very close to those obtained
by numerical studies.

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