Renormalization group calculation of the uniform susceptibilities in low-dimensional systems

Details Renormalization group calculation of the uniform susceptibilities in low-dimensional systems Renormalization group calculation of the uniform susceptibilities in low-dimensional systems

2006-01-10

arxiv.org/abs/cond-mat/0601197v2

Physics

Condensed Matter

Strongly Correlated Electrons

Second version. Contribution to the conference "Renormalization Group 2005", which took place in Helsinki, Finland

Scientific paper

10.1088/0305-4470/39/25/S12

We analyze the one-dimensional (1D) and the two-dimensional (2D) repulsive Hubbard models (HM) for densities slightly away from half-filling through the behavior of two central quantities of a system: the uniform charge and spin susceptibilities. We point out that a consistent renormalization group treatment of them can only be achieved within a two-loop approach or beyond. In the 1D HM, we show that this scheme reproduces correctly the metallic behavior given by the well-known Luttinger liquid fixed-point result. Then, we use the same approach to deal with the more complicated 2D HM. In this case, we are able to show that both uniform susceptibilities become suppressed for moderate interaction parameters as one take the system towards the Fermi surface. Therefore, this result adds further support to the interpretation that those systems are in fact insulating spin liquids. Later, we perform the same calculations in 2D using the conventional random phase approximation, and establish clearly a comparison between the two schemes.

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