Dresden 2017 – scientific programme

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DS: Fachverband Dünne Schichten

DS 41: Layer Properties: Electrical, Optical, and Mechanical Properties II

DS 41.5: Talk

Thursday, March 23, 2017, 16:00–16:15, CHE 91

Hybrid Monte-Carlo simulations at the van Hove singularity in mono-layer graphene — •Michael Körner, Dominik Smith, and Lorenz von Smekal — Institut für Theoretische Physik, Justus-Liebig-Universität Gießen

We use Hybrid Monte-Carlo (HMC) simulations to investigate the influence of long range electron-electron interactions on the electronic band structure of single layer graphene. Here we are particularly interested in the region where the fermi surface crosses the van Hove singularity, and where a topological electronic transition called a neck-disrupting Lifshitz transition occurs. We simulate with HMC a partially screened Coulomb potential and, due to the fermion sign problem, a spin-dependent chemical potential to study the influence of long range interactions on this topological transition in finite volumes and at non-vanishing temperatures. Our goal is to determine how interactions change the character of the topological transition and if there is a set of parameters for which a real phase transition in the thermodynamic sense can occur.