Proof of antiferromagnetism in the half filled Hubbard model in infinite dimensions

S. Mahlert, F. Gebhard, E. Jeckelmann +2 more

F. Ducastelle

Peter Kopietz

We study the half-filled Hubbard model on a hypercubic lattice in infinite dimensions in the presence of a staggered magnetic field. Using the analyticity of the Anderson impurity model and assuming that for small enough on-site repulsion U the high-temperature phase is a Fermi liquid, we show that at weak coupling the nesting property of the non-interacting band-structure necessarily leads to antiferromagnetic symmetry breaking at a finite temperature.

Kenji Kobayashi, Hisatoshi Yokoyama

Mark Jarrell

An essentially exact solution of the infinite-dimensional Hubbard model is made possible by a new self-consistent Monte Carlo procedure. Near half filling antiferromagnetism and a pseudogap in the single-particle density of states are found for sufficiently large values of the intrasite Coulomb interaction. At half filling the antiferromagnetic transition temperature obtains its largest value when the intrasite Coulomb interaction U\ensuremath{\approxeq}3.

Mark Jarrell, Thomas Pruschke