Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 58: Poster Session Transport & Matter at Low Temperature
TT 58.38: Poster
Thursday, March 14, 2013, 15:00–19:00, Poster D
Interacting electrons on trilayer honeycomb lattices — Michael M. Scherer3, Stefan Uebelacker1,2, •Daniel D. Scherer4, and Carsten Honerkamp1,2 — 1Institute for Theoretical Solid State Physics, RWTH Aachen University, D-52056 Aachen, Germany — 2JARA-FIT Fundamentals of Future Information Technology — 3Institute for Theoretical Physics, Heidelberg University, D-69120 Heidelberg, Germany — 4Institute for Theoretical Physics, Leipzig University, D-04103, Leipzig, Germany
Few-layer graphene systems come in various stacking orders. Considering tight-binding models for electrons on stacked honeycomb layers, this gives rise to a variety of low-energy band structures near the charge neutrality point. Depending on the stacking order, these band structures enhance or reduce the role of electron-electron interactions. Here, we investigate the instabilities of interacting electrons on honeycomb multilayers with a focus on trilayers with ABA and ABC stackings theoretically by means of the functional renormalization group. We find different types of competing instabilities and identify the leading ordering tendencies in the different regions of the phase diagram for a range of local and non-local short-ranged interactions. The dominant instabilities turn out to be toward an antiferromagnetic spin-density wave (SDW), a charge density wave, and quantum spin Hall (QSH) order. Ab initio values for the interaction parameters put the systems at the border between SDW and QSH regimes. We thus obtain a comprehensive picture of the possible interaction-induced ground states of few-layer graphene.