English

Antiferromagnetic gap in the Hubbard model

Strongly Correlated Electrons 2009-11-10 v3 Superconductivity High Energy Physics - Theory

Abstract

We compute the temperature dependence of the antiferromagnetic order parameter and the gap in the two dimensional Hubbard model at and close to half filling. Our approach is based on truncations of an exact functional renormalization group equation. The explicit use of composite bosonic degrees of freedom permits a direct investigation of the ordered low temperature phase. We show that the Mermin--Wagner theorem is not practically applicable for the spontaneous breaking of the continuous spin symmetry in the antiferromagnetic state. The critical behavior is dominated by the fluctuations of composite Goldstone bosons.

Keywords

Cite

@article{arxiv.cond-mat/0308591,
  title  = {Antiferromagnetic gap in the Hubbard model},
  author = {T. Baier and E. Bick and C. Wetterich},
  journal= {arXiv preprint arXiv:cond-mat/0308591},
  year   = {2009}
}

Comments

new discussion of critical behavior 4 pages,2 figures, LaTex

R2 v1 2026-07-22T10:54:03.057Z