We study theoretical properties of robust low energy electronic excitations associated with topological insulators and superconductors. The bulk materials are described by non-interacting single particle band Hamiltonians with a finite excitation gap. Their topological phases are classifed according to symmetries and dimensions, characterized by discrete bulk invariants, and correspond to topol...

We show theoretically that periodically driven systems with short range Hubbard interactions offer a feasible platform to experimentally realize fractional Chern insulator states. We exemplify the procedure for both the driven honeycomb and the square lattice, where we derive the effective steady state band structure of the driven system by using the Floquet theory and subsequently study the in...

Title of Document: ELECTRONIC TRANSPORT IN DIRAC MATERIALS: GRAPHENE AND A TOPOLOGICAL INSULATOR(Bi2Se3) Sungjae Cho, Doctor of Philosophy, 2011 Directed By: Professor, Michael S. Fuhrer, Department of Physics Materials with Dirac electronic spectra (“Dirac materials”) have attracted much interest since the first successful electronic transport measurement in graphene in 2004. Dirac quasipartic...