Interactions and the Anderson transition

L. Fleishman and P. W. Anderson
Phys. Rev. B 21, 2366 – Published 15 March 1980
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Abstract

We examine the effects of the electron-electron interaction on the Anderson transition. It is shown that the dimensionality of the system and the range of the interaction are crucial in determining the decay properties of a single-particle citation. For a long-range interaction we find that the appropriate one-electron excitations, when localized, decay via a (εμ)1d law where (εμ) is the energy above the Fermi energy and d is the dimensionality. At finite temperatures this becomes a T1d+1 law. The single-particle excitations are bound for short-range forces. The conditions for the persistence of the Anderson transition are presented in terms of the nature of the "m-basis" (that in which the Green's function is diagonal) and the convergence of a series for the renormalized self-energy.

  • Received 12 October 1978

DOI:https://doi.org/10.1103/PhysRevB.21.2366

©1980 American Physical Society

Authors & Affiliations

L. Fleishman* and P. W. Anderson

  • Department of Physics, Princeton University, Princeton, New Jersey 08540

  • *Current address: James Franck Institute, University of Chicago, Chicago, Ill.
  • Also at Bell Laboratories.

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Vol. 21, Iss. 6 — 15 March 1980

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