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Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 39: Transport: Graphene 1 (jointly with MA, HL, DY, DS, O)

TT 39.5: Talk

Thursday, March 29, 2012, 10:30–10:45, BH 334

The Hubbard model on the bilayer honeycomb lattice with Bernal stacking — •Thomas C. Lang1, Stefan Übelacker1, Zi Yang Meng2, Michael Scherer1, Carsten Honerkamp1, Alejandro Muramatsu3, Fakher F. Assaad4, and Stefan Wessel11RWTH Aachen, Aachen, Germany — 2Louisiana State University, Baton Rouge, USA — 3Universität Stuttgart, Stuttgart, Germany — 4Universität Würzburg, Würzburg, Germany

Using a combination of quantum Monte Carlo, the functional renormalization group and mean-field theory we study the Hubbard model on the bilayer honeycomb as a model for interacting electrons on bilayer graphene. The free bands consisting of two Fermi points with quadratic dispersions lead to a finite density of states, which triggers the antiferromagnetic instability and spontaneously breaks sublattice and spin rotational symmetry once a local Coulomb repulsion is introduced. We show that the antiferromagnetic instability is insensitive to the inclusion of extended Coulomb interactions and discuss effects on the sublattice magnetization and of finite size systems in numerical approaches.

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