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• W2079747239 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 ${(ensuremath{epsilon}ensuremath{-}ensuremath{mu})}^{frac{1}{d}}$ law where ($ensuremath{epsilon}ensuremath{-}ensuremath{mu}$) is the energy above the Fermi energy and $d$ is the dimensionality. At finite temperatures this becomes a ${T}^{frac{1}{d}+1}$ 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." @default.
• W2079747239 created "2016-06-24" @default.
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• W2079747239 date "1980-03-15" @default.
• W2079747239 modified "2023-10-05" @default.
• W2079747239 title "Interactions and the Anderson transition" @default.
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• W2079747239 doi "https://doi.org/10.1103/physrevb.21.2366" @default.
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