title: Critical properties of the half-filled Hubbard model in three dimensions.
abstract: By means of the dynamical vertex approximation (DΓA) we include spatial correlations on all length scales beyond the dynamical mean-field theory (DMFT) for the half-filled Hubbard model in three dimensions. The most relevant changes due to nonlocal fluctuations are (i) a deviation from the mean-field critical behavior with the same critical exponents as for the three dimensional Heisenberg (anti)ferromagnet and (ii) a sizable reduction of the Néel temperature (T(N)) by ~30% for the onset of antiferromagnetic order. Finally, we give a quantitative estimate of the deviation of the spectra between DΓA and DMFT in different regions of the phase diagram.
authors.affiliation: Institute for Solid State Physics, Vienna University of Technology, 1040 Vienna, Austria.
authors.forename: G
authors.initials: G
authors.lastname: Rohringer
authors.forename: A
authors.initials: A
authors.lastname: Toschi
authors.forename: A
authors.initials: A
authors.lastname: Katanin
authors.forename: K
authors.initials: K
authors.lastname: Held