Luttinger liquid with asymmetric dispersion

V FERNÁNDEZ; C IUCCI; C NAÓN

EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS

EDP SCIENCES S A

Año: 2002 vol. 30 p. 53 - 56

1286-0042

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particleshave 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 velocitydifference $\epsilon$ and the strength of the interaction $\beta$. This allows us to identify a novel restricted region in theparameter space in which the system keeps the main features of a Luttinger liquid but with an unusualbehavior of the density of states and the static charge compressibility $\kappa$. In particular $\kappa$ diverges on theboundary of the restricted region, indicating the occurrence of a phase transition.