Quasiparticle electronic structure of bulk and slab Bi$_{2}$Se$_{3}$ and Bi$_{2}$Te$_{3}$

We present ab initio calculations of the quasiparticle electronic band structure of three-dimensional topological insulator materials Bi$_{2}$Se$_{3}$ and Bi$_{2}$Te$_{3}$. The mean-field DFT calculation is performed with fully relativistic pseudopotentials, generating spinor wavefunctions in a plane-wave basis. Quasiparticle properties are computed with a one-shot ab initio GW calculation. We use both bulk and slab forms of the materials to better understand the quasiparticle band gaps and Fermi velocities of the topological surface states of these materials.