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arXiv · 1104.1919

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

G. Rohringer·A. Toschi·A. A. Katanin·K. Held
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Abstract

By means of the dynamical vertex approximation (D$Γ$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 Néel 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$Γ$A and DMFT in different regions of the phase-diagram.

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G. Rohringer, A. Toschi, A. A. Katanin, K. Held. 2011-11-05. Critical properties of the half-filled Hubbard model in three dimensions. https://doi.org/10.1103/physrevlett.107.256402

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