Premium
Renormalized perturbation theories of Anderson localization: Self‐consistent two‐particle vertices
Author(s) -
Janiš V.,
Pokorný V.
Publication year - 2011
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201100025
Subject(s) - physics , diagrammatic reasoning , perturbation theory (quantum mechanics) , vertex (graph theory) , perturbation (astronomy) , anderson impurity model , quantum mechanics , quantum , impurity , statistical physics , propagator , quantum electrodynamics , electron , mathematical physics , mathematics , graph , philosophy , linguistics , discrete mathematics
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 Wölfle and the high‐dimensional one of Janiš and Kolorenč. Finally we demonstrate, using the latter approach, the emergence of the localized phase in the Falicov‐Kimball model.