From the integrable one-parameter Lai-Sutherland model to a strongly interacting Luttinger liquid state

Max-Planck Institut für Physik Komplexer Systeme Nöthnizer Straße 38, D-01187 Dresden, Germany

Received: 22 March 2000
Accepted: 9 October 2000

Abstract

One parameter family of the Lai-Sutherland models with hard-core repulsive potential is formulated and solved by the Bethe ansatz method in one dimension for an arbitrary core radius . The ground-state Bethe ansatz equations are analysed and solved numerically for an arbitrary electron density, several values of color components, and the core radius. The ground-state energy, the Fermi velocity, and the critical exponents describing the asymptotic behavior of the correlation functions at long distances have been calculated numerically for an arbitrary density of electrons. In contrast to the integrable models studied previously, the long-distance behavior is described by a strongly interacting Luttinger liquid state. This state is characterized by a large value of the critical exponent Θ for the momentum distribution function () and realized at a high electron density region ().