Response functions in multicomponent Luttinger liquids

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.

16 pages, two EPS figures

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Cited by in corpus (3)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Dimensional crossover in a Fermi gas from one to effective six dimensions and a cross-dimensional Tomonaga-Luttinger model