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arxiv: cond-mat/0104289 · v2 · submitted 2001-04-17 · ❄️ cond-mat.dis-nn · cond-mat.mes-hall

Critical index of Anderson transition in 3D systems

classification ❄️ cond-mat.dis-nn cond-mat.mes-hall
keywords transitionandersoncriticalindexsystemsverybetaclose
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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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