%0 Journal Article %T Termination dependent topological surface states of the natural superlattice phase Bi$_4$Se$_3$ %A Q. D. Gibson %A L. M. Schoop %A A. P. Weber %A Huiwen Ji %A S. Nadj-Perge %A I. K. Drozdov %A H. Beidenkopf %A J. T. Sadowski %A A. Fedorov %A A. Yazdani %A T. Valla %A R. J. Cava %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevB.88.081108 %X We describe the topological surface states of Bi$_4$Se$_3$, a compound in the infinitely adaptive Bi$_2$-Bi$_2$Se$_3$ natural superlattice phase series, determined by a combination of experimental and theoretical methods. Two observable cleavage surfaces, terminating at Bi or Se, are characterized by angle resolved photoelectron spectroscopy and scanning tunneling microscopy, and modeled by ab-initio density functional theory calculations. Topological surface states are observed on both surfaces, but with markedly different dispersions and Kramers point energies. Bi$_4$Se$_3$ therefore represents the only known compound with different topological states on differently terminated surfaces. %U http://arxiv.org/abs/1305.3558v3