A. Tsuruta et al., INFRARED DIVERGENCE AND NON-FERMI LIQUID IN MULTICHANNEL DEGENERATE ANDERSON MODEL - II, Journal of the Physical Society of Japan, 67(7), 1998, pp. 2346-2362
In the previous studies, we examined roles of infrared divergences in
pseudo-particle spectra in the impurity Anderson models with use of th
e expansion from the limit of the large spin-orbital degeneracy (1/N-e
xpansion). Here, such studies are extended to obtain renormalized form
s of frequency-/temperature-dependence of physical quantities such as
scattering rate of conduction electrons and spin-, pseudo-spin- and ch
arge-susceptibility? where the pseudo-spin represents the channel's de
gree of freedom, hy collecting the most infrared-divergent terms in th
e 1/N-expansion. The results reconfirm that in single channel models t
he infrared divergent terms in the pseudo-particle spectra are complet
ely cancelled hy the vertex corrections at each order of the 1/N-expan
sion, while in multichannel models the cancelation becomes incomplete
and the terms remain in the physical quantities.