Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 35: Low-Dimensional Systems: 2D - Theory

TT 35.2: Talk

Tuesday, March 21, 2017, 14:15–14:30, HSZ 304

Competing mass terms in Dirac fermions — •Toshihiro Sato, Martin Hohenadler, and Fakher F. Assaad — Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Germany

We numerically study the honeycomb-lattice Hubbard model at half filling coupled to a transverse Ising field. The coupling to the Ising field is such that it favors a Kekule mass term when it orders. This Kekule mass breaks translation symmetry and corresponds to a complex order parameter. The Hubbard interaction favors an antiferromagnetic state characterized by an O(3) order parameter. Using the auxiliary field quantum Monte Carlo method, we are able to map out the phase diagram in the transverse field versus Hubbard U plane so as to investigate the competition between the two aforementioned mass terms.