Luttinger liquid with asymmetric dispersion

V. I. FERNÁNDEZ; A. IUCCI; C. NAÓN

EUROPEAN PHYSICAL JOURNAL B - CONDENSED MATTER

EDP Sciences, Societá Italiana di Fisica, Springer-Verlag

Año: 2002 vol. 30 p. 53 - 56

1434-6028

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 and the strength of the interaction. 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 K. In particular K diverges on the boundary of the restricted region, indicating the ocurrence of a phase transition.