%0 Journal Article %T Discrete solitons in graphene metamaterials %A Yuliy V. Bludov %A Daria A. Smirnova %A Yuri S. Kivshar %A Nuno M. R. Peres %A Mikhail I. Vasilevskiy %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevB.91.045424 %X We study nonlinear properties of multilayer metamaterials created by graphene sheets separated by dielectric layers. We demonstrate that such structures can support localized nonlinear modes described by the discrete nonlinear Schr\"{o}dinger equation and that its solutions are associated with stable discrete plasmon solitons. We also analyze the nonlinear surface modes in truncated graphene metamaterials being a nonlinear analog of surface Tamm states. %U http://arxiv.org/abs/1410.4823v2