We derive an analytic expression for the zero temperature Fourier transform of the density{density correlation function of a multicomponent Luttinger liquid with dierent velocities. By employing a 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 nd power-law singularities and compute the corresponding exponents. Numerical results are shown for N = 3 components and implications for experiments on cold atoms are discussed.

Response functions in multicomponent Luttinger liquids

CITRO, Roberta;
2012

Abstract

We derive an analytic expression for the zero temperature Fourier transform of the density{density correlation function of a multicomponent Luttinger liquid with dierent velocities. By employing a 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 nd power-law singularities and compute the corresponding exponents. Numerical results are shown for N = 3 components and implications for experiments on cold atoms are discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3889979
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