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TT: Fachverband Tiefe Temperaturen

TT 2: Graphene: Theory
(Joint session of DS, DY, HL, MA, O and TT organized by HL)

TT 2.8: Talk

Monday, March 7, 2016, 11:45–12:00, H17

Phase structure of graphene from Hybrid Monte-Carlo simulations — •Pavel Buividovich1, Lorenz von Smekal2, Dominik Smith2, and Maksim Ulybyshev11Regensburg University, Institute for Theoretical Physics, D-93053 Regensburg, Universitatstr. 31 — 2Giessen University, Institute for Theoretical Physics, D-35392 Gießen, Heinrich-Buff-Ring 16

We study the phase structure of monolayer graphene in the parametric space of on-site and nearest-neighbour interactions using the Hybrid Monte-Carlo algorithm similar to those used in lattice QCD simulations. Our simulation code allows us to perform ab-initio simulations on lattices as big as 36x36 unit cells. We numerically determine the boundaries of the charge density wave, spin density wave and the Kekule distortion phases. We also confront the results with analytic studies based on Schwinger-Dyson equations, which allow to reach even larger lattice sizes, up to 5000x5000 unit cells.

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