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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00772338
Contributor : Edmond Orignac
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Submitted on : Thursday, January 10, 2013 - 1:27:18 PM
Last modification on : Thursday, July 18, 2019 - 10:30:05 AM
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⟩
