Critical index of Anderson transition in 3D systems

Arisato Kawabata

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arXiv · cond-mat/0104289

Critical index of Anderson transition in 3D systems

Arisato Kawabata

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Abstract

Anderson transition in three-dimensional systems is investigated using renormalization group theory. $β$-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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Arisato Kawabata. 2001-05-12. Critical index of Anderson transition in 3D systems. https://arxiv.org/abs/cond-mat/0104289

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