FM 5-2011 (arXiv:1106.0356)

Authors: Giuseppe Benfatto, Pierlugi Falco and Vieri Mastropietro

Title: Universal Luttinger Liquid Relations in the 1D Hubbard Model
 
Abstract: We study the 1D extended Hubbard model with a weak repulsive short-range interaction in the non-half-filled band case, using non-perturbative Renormalization Group methods and Ward Identities. At the critical temperature, T=0, the response functions have anomalous power-law decay with multiplicative logarithmic corrections. The critical exponents, the susceptibility and the Drude weight verify the universal Luttinger liquid relations. Borel summability and (a weak form of) Spin-Charge separation is established.

Keywords: Luttinger liquid relations, critical exponens, Renormalization Group

Giuseppe Benfatto
Dipartimento di Matematica
Università di Roma Tor Vergata
V.le della Ricerca Scientifica 1, 00133 Roma - Italy
e-mail: benfatto AT mat DOT uniroma2 DOT it

Pierluigi Falco
Mathematics Department
California State University
Santa Susana Hall 125, Northridge - CA 91330 USA
e-mail: pierluigi DOT falco AT csun DOT edu

Vieri Mastropietro
Dipartimento di Matematica
Università di Roma Tor Vergata
V.le della Ricerca Scientifica 1, 00133 Roma - Italy
e-mail: mastropi AT mat DOT uniroma2 DOT it