Application of the renormalization group technique to the problem of phase transition in one-dimensional metallic systems. II. Response functions and the ground-state problem

Abstract

The results of the preceding paper for the invariant coupling are used to calculate some response functions in a one-dimensional metallic system. Three generalized susceptibilities, characterizing the possible superconducting or antiferromagnetic behavior of the system and the appearance of density waves, are calculated by means of the Lie equations of the renormalization group. Due to the nonsingular behavior of the invariant couplings, the response functions can diverge at ω=0 only, and this singularity is of power-law type. Depending on the sign and relative value of the bare coupling constants, the model system tends to superconducting or antiferromagnetic order at T=0. In certain cases the period of the system is doubled.