https://doi.org/10.1140/epjb/e2002-00357-8
Luttinger liquid with asymmetric dispersion
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
Corresponding author: a iucci@fisica.unlp.edu.ar
Received:
20
May
2002
Revised:
23
August
2002
Published online:
19
November
2002
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.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
