Article

# Universal Luttinger Liquid Relations in the 1D Hubbard Model

06/2011;
Source: arXiv

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.

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### Keywords

Drude weight verify

multiplicative logarithmic corrections

non-half-filled band case

response functions

susceptibility

Ward Identities