Nonuniversal spectral properties of the Luttinger model

Abstract

The one-electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite-range interactions, interesting nonuniversal spectral features emerge for momenta that differ from the Fermi points by the order of the inverse interaction range or more. For a simplified model with interactions only within the branches of right- and left-moving electrons, analytical expressions for the spectral function are presented that allow us to perform the thermodynamic limit. As in the general spinless model and the model including spin for which we present mainly numerical results, the spectral functions do not approach the noninteracting limit for large momenta. The implication of our results for recent high-resolution photoemission measurements on quasi-one-dimensional conductors are discussed.