Scaling behavior of an Anderson impurity close to the Mott-Anderson transition

Details Scaling behavior of an Anderson impurity close to the Mott-Anderson transition Scaling behavior of an Anderson impurity close to the Mott-Anderson transition

2005-09-27

arxiv.org/abs/cond-mat/0509706v3

Phys. Rev. B 73, 115117 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 8 figures; version accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.73.115117

The scaling behavior of Anderson impurity models each of which with a different site energy epsilon_i is examined close to the Mott-Anderson transition. Depending on the impurity energy epsilon_i, in the critical regime the site turns into a local magnetic moment, as indicated by a vanishing quasiparticle weight Z -> 0, or remains nearly doubly occupied or nearly empty, corresponding to Z -> 1. In this paper, we present the scaling behavior of Z as a function of the on-site energy epsilon_i and the distance t to the transition, and interpret our result in terms of an appropriate beta function beta(Z).

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