Fermi Liquid and Non-Fermi Liquid in Anderson Lattice

Abstract

We investigate electronic states in M -channel Anderson lattice model using expansion from the limit of large spin-orbital degeneracy N (1/ N -expansion). Inclusion of the self-energy in O ( N 0 ) leads to heavy electrons with degeneracy of channel and spin-orbit. Then we include higher order terms in power of 1/ N . What we find are: in the single channel case, we show that the imaginary part of the self-energy of conduction electrons is given by a form proportional to ω 2 +(π T ) 2 which is due to the intersite correlation effects. In the multichannel case, we find a T -linear term in the imaginary part of the self-energy at the Fermi level, in contrast to a T 2 -term in the Fermi liquid or a constant term in the non-Fermi liquid found in infinite dimensions. The disappearance of the imaginary part at T =0 is due to the intersite correlation effects that reflect the translational invariance. The results are compared with those obtained in infinite dimensions. The Luttinger sum rule is proved to hold.