Abstract : We derive an analytic expression for the zero temperature Fourier transform of the density-density correlation function of a multicomponent Luttinger liquid with different velocities. By employing Schwinger identity and a generalized Feynman identity exact integral expressions are derived, and approximate analytical forms are given for frequencies close to each component singularity. We find power-like singularities and compute the corresponding exponents. Numerical results are shown for the case of three components.
Edmond Orignac, Roberta Citro. Response functions in multicomponent Luttinger liquids. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2012, 2012 (12), pp.P12020. ⟨10.1088/1742-5468/2012/12/P12020⟩. ⟨ensl-00772338⟩
