Abstract
Renormalization group arguments are applied to an ensemble of disordered electronic systems (without electron-electron interaction). The renormalization group procedure consists of a sequence of transformations of the length and the energy scales, and of orthogonal transformations of the electronic states. Homogeneity and power laws are obtained for various one and two-particle correlations and for the low-temperature conductivity in the vicinity of the mobility edge. Two types of fixed point ensembles are proposed, a homogeneous ensemble which is roughly approximated by a cell model, and an inhomogeneous ensemble.
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Wegner, F.J. Electrons in disordered systems. Scaling near the mobility edge. Z Physik B 25, 327–337 (1976). https://doi.org/10.1007/BF01315248
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DOI: https://doi.org/10.1007/BF01315248