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
Contributeur : Edmond Orignac
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Soumis le : jeudi 10 janvier 2013 - 13:27:18
Dernière modification le : jeudi 19 avril 2018 - 14:54:03
Edmond Orignac, Roberta Citro. Response functions in multicomponent Luttinger liquids. Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2012, 2012 (12), pp.P12020. 〈10.1088/1742-5468/2012/12/P12020〉. 〈ensl-00772338〉
