Renormalization of the 2-point function of the Hubbard model at half-filling

Details Renormalization of the 2-point function of the Hubbard model at half-filling Renormalization of the 2-point function of the Hubbard model at half-filling

2004-09-09

arxiv.org/abs/cond-mat/0409231v2

Physics

Condensed Matter

Strongly Correlated Electrons

45 pages, 28 figures

Scientific paper

10.1007/s00023-005-0213-0

We prove that the two dimensional Hubbard model at finite temperature T and half-filling is analytic in the coupling constant in a radius at least $c/(\log T)^2$. We also study the self-energy through a new two-particle irreducible expansion and prove that this model is not a Fermi liquid, but a Luttinger liquid with logarithmic corrections. The techniques used are borrowed from constructive field theory so the result is mathematically rigorous and completely non-perturbative. Together with earlier results on the existence of two dimensional Fermi liquids, this new result proves that the nature of interacting Fermi systems in two dimensions depends on the shape of the Fermi surface.

Affiliated with

Also associated with

No associations

Rating

Renormalization of the 2-point function of the Hubbard model at half-filling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Renormalization of the 2-point function of the Hubbard model at half-filling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of the 2-point function of the Hubbard model at half-filling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229107