Luttinger liquid with asymmetric dispersion

V. FERNÁNDEZ; C IUCCI; C NAÓN

Dresden

Workshop; Functional Renormalization in Interacting Quantum Many-Body Problems; 2003

Max Planck Institut fur Physik Komplexer Systeme

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 Greens functions, momentum- distributions, density of states, charge compressibility and conductivity as functions of both the velocity difference epsilon 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.