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Critical properties of the half-filled Hubbard model in three dimensions
By means of the dynamical vertex approximation (DA) 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 non-local 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
N\'eel temperature () by for the onset of antiferromagnetic
order. Finally, we give a quantitative estimate of the deviation of the spectra
between DA and DMFT in different regions of the phase-diagram.Comment: 4 pages, 3 figures; accepted for publication in Phys. Rev. Let
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