Casimir interactions in graphene systems
Division of Theory and Modeling, Department of Physics, Chemistry and Biology, Linköping University SE-581 83 Linköping, Sweden, EU
Accepted: 18 July 2011
The non-retarded Casimir interaction (van der Waals interaction) between two free-standing graphene sheets as well as between a graphene sheet and a substrate is determined. We present several different derivations of the interaction. An exact analytical expression is given for the dielectric function of graphene along the imaginary frequency axis within the random phase approximation for arbitrary frequency, wave vector, and doping.
PACS: 73.21.-b – Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems / 71.10.-w – Theories and models of many-electron systems / 73.22.Pr – Electronic structure of graphene
© EPLA, 2011