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We study surface states in the three-dimensional topological insulatorsBi$_2$Te$_{3-x}$Se$_{x}$ (x = 0, 2, 3) by polarization resolved resonant Ramanspectroscopy. By tracking the spectral intensity of the surface phonon modeswith respect to the incident photon energy, we show that the surface phononsare qualitatively similar to their bulk counterparts. Using the resonant Ramanexcitation profile, we estimated the binding energy of the surface conductionbands relative to bulk conduction bands. In addition, we selectively excite thesurface-to-bulk electronic continuum near the Fermi energy in Bi$_2$Se$_3$ todetermine the strength of Fano interaction between the most prominent surfacephonon and the surface-to-bulk continuum.

Electronic and Vibrational Excitations on the Surface of the Three-Dimensional Topological Insulator Bi$_2$Te$_{3-x}$Se$_{x}$ (x = 0, 2, 3)