DYNAMICAL CORRELATION-FUNCTIONS OF ONE-DIMENSIONAL SUPERCONDUCTORS AND PEIERLS AND MOTT INSULATORS

I construct the spectral function of the Lu-ther-Emery model which des cribes one-dimensional fermions with one gapless and one gapped degree of freedom, i.e. superconductors and Peierls and Mott insulators, by using symmetries, relations to other models, and known limits. Dependi ng on the relative magnitudes of the charge and spin velocities, and o n whether a charge or a spin gap is present, I find spectral functions differing in the number of singularities and presence or absence of a nomalous dimensions of fermion operators. I find, for a Peierls system , one singularity with anomalous dimension and one finite maximum; for a superconductor two singularities with anomalous dimensions; and for a Mott insulator one or two singularities without anomalous dimension . In addition, there are strong shadow bands. I generalize the constru ction to arbitrary dynamical multi-particle correlation functions. The main aspects of this work are in agreement with numerical and Bethe A nsatz calculations by others. I also discuss the application to photoe mission experiments on 1D Mott insulators and on the normal state of 1 D Peierls systems, and propose the Luther-Emery model as the generic d escription of 1D charge density wave systems with important electronic correlations.