Response functions in multicomponent Luttinger liquids
arXiv:1209.3874 · doi:10.1088/1742-5468/2012/12/P12020
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