Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition

Details Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition Correlation Exponent and Anomalously Localized States at the Critical Point of the Anderson Transition

2004-05-18

arxiv.org/abs/cond-mat/0405387v2

J. Phys. Soc. Jpn. 73, 2164 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures

Scientific paper

10.1143/JPSJ.73.2164

We study the box-measure correlation function of quantum states at the Anderson transition point with taking care of anomalously localized states (ALS). By eliminating ALS from the ensemble of critical wavefunctions, we confirm, for the first time, the scaling relation z(q)=d+2tau(q)-tau(2q) for a wide range of q, where q is the order of box-measure moments and z(q) and tau(q) are the correlation and the mass exponents, respectively. The influence of ALS to the calculation of z(q) is also discussed.

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