Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 15: Dual-Method Approaches to Quantum Many-Body Systems I
TT 15.4: Vortrag
Montag, 12. März 2018, 15:45–16:00, H 0104
Functional RG investigation of the antiferromagnetic phase diagram of the three dimensional Hubbard model — •Jannis Ehrlich1,2, Carsten Honerkamp2, and Stefan Blügel1 — 1Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — 2Institut für Theoretische Festkörperphysik, RWTH Aachen, Otto-Blumenthal-Straße, 52074 Aachen, Germany
The phase diagram of the three dimensional Hubbard model shows a phase transition to an antiferromagnetic ground state for repulsive interactions. While the Néel temperature can be obtained by Hartree Fock and the Heisenberg model for the limit of weak and strong interactions respectively, the intermediate range of interactions is subject of recent investigations.
We use the recently developed truncated unity functional renormalization group (TUfRG) approach, which has been used successfully to study the phase diagram of the extended 2D Hubbard model. This approach enables us to study this model on a fine momentum grid in an unbiased form, i.e. including the particle-particle and both particle-hole channels. We compare the resulting Néel temperature curve to those from previous studies using DΓA, DCA, QMC and dual fermion approaches.