Luttinger liquid with asymmetric dispersion |
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Authors: | VI Fernández A Iucci CM Naón |
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Institution: | (1) Instituto de Física La Plata, Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, CC 67, 1900 La Plata, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina, AR |
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Abstract: | We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities.
We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge compressibility
and conductivity as functions of both the velocity difference ε and the strength of the interaction β. This allows us to identify
a novel restricted region in the parameter space in which the system keeps the main features of a Luttinger liquid but with
an unusual behavior of the density of states and the static charge compressibility κ. In particular κ diverges on the boundary
of the restricted region, indicating the occurrence of a phase transition.
Received 20 May 2002 / Received in final form 23 August 2002 Published online 19 November 2002 |
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Keywords: | PACS 71 10 Pm Fermions in reduced dimensions (anyons composite fermions Luttinger liquid etc ) |
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