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The crystal structure of the layered material Bi₄Te₃, a member of the adaptive series of crystals (Bi₂)_m(Bi₂Te₃)_n, forms a superlattice of alternating Bi₂ and Bi₂Te₃ layers. Recent experimental results indicate the presence of unusual surface states in this material and our calculations show that Bi₄Te₃ possesses topological surface states. In this work, we perform ab initio density functional theory calculations of bulk and slab geometries to further investigate the surface states of Bi₄Te₃. We additionally study the effects of charge transfer at the surface using tight binding calculations.