E. Kochetov et al., ADIABATIC APPROXIMATION FOR LOCALIZED-ELECTRONS IN PERIODIC ANDERSON MODEL, Physica. C, Superconductivity, 296(3-4), 1998, pp. 298-306
The partition function of the periodic Anderson model for an infinite
U-term is represented by the path integral over the Grassmann variable
s for band s-electrons and supercoherent SU(2\1) variables for localiz
ed d-electrons. The effective electron action is obtained for d-electr
ons with a level E<0 through the averaging of the thermal distribution
over the s-electron trajectories. Due to the spinon-charge separation
in the path integral over the d-variables, the low-temperature and sp
in mean-field approximations are introduced and are shown to lead to t
he adiabatic approximation suggested earlier. Non-linear dependence of
the chemical potential mu on the electron concentration Is < 1 is est
ablished for the narrow s-electron band w much less than \E\ and the K
ondo-like temperature behavior is found for n > 1 in wide w much great
er than \E\ s-electron band. (C) 1998 Elsevier Science B.V.