Abstract
Continous transitions between a Mott insulator and a correlated metal are studied with the scaling theory. The validity of hyperscaling analysis is examined. As an example of the criticality, two-dimensional 3He systems near the Mott transition observed experimentally are analyzed in favor of the mass singularity in the form m ∗ α δ −1 where δ is the density of 3He measured from the Mott insulator. Several consequences of the scaling theory are derived when the metallic state is described by the Femi liquid. The breakdown of the Femi liquid towards the transition point is figured out in this framework.
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