Universal Luttinger Liquid Relations in the 1D Hubbard Model
Mathematical Physics
2011-06-03 v1 Strongly Correlated Electrons
math.MP
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
Cite
@article{arxiv.1106.0356,
title = {Universal Luttinger Liquid Relations in the 1D Hubbard Model},
author = {Giuseppe Benfatto and Pierluigi Falco and Vieri Mastropietro},
journal= {arXiv preprint arXiv:1106.0356},
year = {2011}
}
Comments
50 pages