Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 86: Correlated Electrons: (General) Theory 2
TT 86.2: Talk
Thursday, March 19, 2015, 09:45–10:00, H 3005
Antiferromagnetic phase transition in the Hubbard model from diagrammatic multi-scale perspective — •Daniel Hirschmeier1, Hartmut Hafermann2, Emanuel Gull3, Alexander Lichtenstein1, and Andrey Antipov3 — 1Universität Hamburg, I. Institut für Theoretische Physik, Hamburg, Deutschland — 2University of Michigan, Ann Arbor, USA — 3Institut de Physique Theorique (IPhT), Gif-sur-Yvette, France
We have studied the phase diagram of the antiferromagnetic transition of the Hubbard model in three dimensions, employing the ladder dual fermion approach. This diagrammatic extension of dynamical mean field theory embeds the non-local correlations into the problem and allowed us to extract universal, Heisenberg like critical exponents of the spin susceptibility and the correlation length for large and intermediate values of the Coulomb repulsion. This critical behaviour is coincident with the opening of a gap in the density of states, reflecting a relation between single- and two-particle quantities. Furthermore we discuss the impact of the gap in the density of states on the critical properties of the phase transition.