Emergent gravity in graphene

[摘要] We reconsider monolayer graphene in the presence of elastic deformations. It is described by the tight - binding model with varying hopping parameters. We demonstrate, that the fermionic quasiparticles propagate in the emergent 2D Weitzenbock geometry and in the presence of the emergent U(1) gauge field. Both emergent geometry and the gauge field are defined by the elastic deformation of graphene.

[发布机构] University of Western Ontario, Department of Applied Mathematics, London; ON; N6A 5B7, Canada^1;ITEP, B.Cheremushkinskaya 25, Moscow; 117259, Russia^2;Low Temperature Laboratory, School of Science and Technology, Aalto University, P.O. Box 15100, AALTO; FI-00076, Finland^3;L. D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow; 119334, Russia^4

[关键词] Fermionic quasiparticles;Gauge fields;Hopping parameters;Tight binding model