Antiferromagnetic gap in the Hubbard model

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.

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

References in corpus (7)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Renormalization group analysis of the 2D Hubbard model
• Renormalization Flow of Bound States
• Nonperturbative Renormalization Flow and Essential Scaling for the Kosterlitz-Thouless Transition
• Weakly correlated electrons on a square lattice: a renormalization group theory
• Spontaneous symmetry breaking in the colored Hubbard model

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