We present a quantum critical behavior of the renormalized single-particle Wannier function, calculated in the Gutzwiller correlated state near the insulator-metal transition (IMT) for cubic lattices. The wave function size and its maximum, as well as the system energy scale with increasing lattice parameter R as Rn. Such scaling is interpreted as the evidence of a dominant role of the Coulomb repulsion. Relation of the insulator-metal transition lattice-parameter value R=RC to the original {\em Mott criterion\} is obtained. The method is tested by comparing our results with the exact approach for the Hubbard chain.
@article{arxiv.0902.4477,
title = {Critical scaling of the renormalized single-particle wave function near the Mott-Hubbard transition},
author = {J. Spalek and J. Kurzyk and R. Podsiadly and W. Wójcik},
journal= {arXiv preprint arXiv:0902.4477},
year = {2009}
}