Recent progress in electronics has largely been associated with controlled fabrication of low-dimensional nanostructures, so there is much interest in the transport, materials, photonic and plasmonic properties of small electronic nanodevices. Further technological breakthrough is expected by implementing novel materials such as magnetic semiconductors, carbon-based nanostructures and materials with strong spin-orbit coupling. Among a number of potential candidates for basic elements of future nanotechnology, graphene and topological insulators occupy a worthy place. Several established researchers with complementary experience unite in the project to tackle the key challenges in understanding intriguing interaction phenomena in new materials. Within this project we focus on transport and magnetortansport properties of graphene, graphene plasma-wave THz electronics, and interaction- and disorder-induced effects in topological insulators. We will uncover new physics originating in the inter-band transitions in these materials and demonstrate how to take advantage of new physical phenomena in making electronic and optical devices.