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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2012

Response functions in multicomponent Luttinger liquids

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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.

Dates and versions

ensl-00772338 , version 1 (10-01-2013)

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Edmond Orignac, Roberta Citro. Response functions in multicomponent Luttinger liquids. Journal of Statistical Mechanics: Theory and Experiment, 2012, 2012 (12), pp.P12020. ⟨10.1088/1742-5468/2012/12/P12020⟩. ⟨ensl-00772338⟩
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