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Graphene is a novel material that features a quasi-relativistic linear energy dispersion with the quantum mechanical motion of electrons obeying the massless Dirac equation. In this dissertation, we study the many-body effects in graphene due to Coulomb interaction and electron-phonon interaction. Interaction effects can appear in both transport and electronic properties. For many-body effects in transport, we formulate the theory for Coulomb drag in double-layer graphene. We calculate the drag resistivity and study its dependence on temperature, density and interlayer spacing, finding zero drag if one of the graphene layers is intrinsic (i.e., undoped) and a non-zero drag exhibiting a similar behavior to regular bilayer drag if both graphene layers are extrinsic (i.e., doped). For many-body effects in electronic properties, we formula...
Comment: Minor typo in the vertical-axis label of Fig. 1 corrected; accepted version in PRL (in press)
Comment: 14 pages, 5 figures. This work expands on our previous papers [Phys. Rev. Lett. 105, 057401 (2010); Phys. Rev. B 82, 161104(R) (2010)] by including thick topological insulator films and layered quantized Hall systems in general, as well as the effects of bulk conduction, substrate, and oblique light incidence that are relevant to experiments
Comment: 4.2 pages
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