Critical properties of the half-filled Hubbard model in three dimensions

Details Critical properties of the half-filled Hubbard model in three dimensions Critical properties of the half-filled Hubbard model in three dimensions

2011-04-11

arxiv.org/abs/1104.1919v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures; accepted for publication in Phys. Rev. Lett

Scientific paper

By means of the dynamical vertex approximation (D$\Gamma$A) 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 ($T_N$) by $\sim 30%$ for the onset of antiferromagnetic order. Finally, we give a quantitative estimate of the deviation of the spectra between D$\Gamma$A and DMFT in different regions of the phase-diagram.

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