Journal
ANNALEN DER PHYSIK
Volume 523, Issue 8-9, Pages 715-723Publisher
WILEY-BLACKWELL
DOI: 10.1002/andp.201100025
Keywords
Scatterings on impurities; diagrammatic expansion for vertex functions; vanishing of diffusion
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Funding
- Academy of Sciences of the Czech Republic [AV0Z10100520]
- Charles University in Prague [SVV 261 301]
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We study effects of quantum coherence due to scatterings of electrons on impurities on two-particle vertex functions. We use the diagrammatic perturbation expansion in the impurity potential and analyze possible ways how to introduce renormalizations on the two-particle level. We discuss the differences between the low-dimensional self-consistent theory of Vollhardt and Wolfle and the high-dimensional one of Janis and Kolorene. Finally we demonstrate, using the latter approach, the emergence of the localized phase in the Falicov-Kimball model. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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