Quasiparticle interference on the Surface of the topological Insulator Bi$_{2}$Te$_{3}$

The quasiparticle interference of the spectroscopic imaging scanning tunneling microscopy has been investigated for the surface states of the large gap topological insulator Bi$_{2}$Te$_{3}$ through the T-matrix formalism. Both the scalar potential scattering and the spin-orbit scattering on the warped hexagonal isoenergy contour are considered. While backscatterings are forbidden by time-reversal symmetry, other scatterings are allowed and exhibit strong dependence on the spin configurations of the eigenfunctions at k points over the isoenergy contour. The characteristic scattering wavevectors found in our analysis agree well with recent experiment results. Ref: W.-C. Lee, C. Wu, D. P. Arovas, and S.-C. Zhang, arXiv:0910.1668