Charge-Spin Separation and the Spectral Properties of Luttinger Liquids

Abstract

We compute the spectral function p(q, ω) of the one-dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with correlation strength. Charge-spin separation shows up in finite spectral weight at frequencies between υσ q and υp q where υ p and υσ are the velocities of charge and spin fluctuations, while spectral weight above υp q and below -υp q is generated by the hybridization of the Fermi surface at ±k F by interactions. There are nonuniversal power-law singularities at these spectral frequencies. We discuss the consistency of recent photoemission experiments on low-dimensional conductors with a Luttinger liquid picture which then would suggest very strong long range interactions.KeywordsFermi SurfaceSpectral FunctionAnomalous DimensionHubbard ModelSpectral WeightThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.