Flow to strong coupling in the two-dimensional Hubbard model
Abstract
We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface deformation tendencies with those towards d-wave pairing and antiferromagnetism. For a ratio of next nearest to nearest neighbor hoppings, t'/t=-0.25, and band fillings where the Fermi surface is inside the Umklapp surface, only the d-pairing susceptibility diverges at low temperatures. When the Fermi surface intersects the Umklapp surface close to the saddle points, d-wave pairing, d-density wave, antiferromagnetic and, to a weaker extent, d-wave Fermi surface deformation susceptibilities grow together when the interactions flow to strong coupling. We interpret these findings as indications for a non-trivial strongly coupled phase with short-ranged superconducting and antiferromagnetic correlations, in close analogy with the spin liquid ground state in the well-understood two-leg Hubbard ladder.
Cite
@article{arxiv.cond-mat/0204063,
title = {Flow to strong coupling in the two-dimensional Hubbard model},
author = {C. Honerkamp and M. Salmhofer and T. M. Rice},
journal= {arXiv preprint arXiv:cond-mat/0204063},
year = {2009}
}
Comments
8 pages, to appear in European Physical Journal B