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Tailoring Kinetics on a Topological Insulator Surface by Defect-Induced Strain: Pb Mobility on Bi2Te3

Heteroepitaxial structures based on Bi$_{2}$Te$_{3}$-type topological insulators (TIs) exhibit exotic quantum phenomena. For optimal characterization of these phenomena, it is desirable to control the interface structure during film growth on such TIs. In this process, adatom mobility is a key factor. We demonstrate that Pb mobility on the Bi$_{2}$Te$_{3}$(111) surface can be modified by the engineering local strain, ε, which is induced around the point-like defects intrinsically forming in the Bi$_{2}$Te$_{3}$(111) thin film grown on a Si(111)-7 $\times$ 7 substrate. Scanning tunneling microscopy observations of Pb adatom and cluster distributions and first-principles density functional theory (DFT) analyses of the adsorption energy and diffusion barrier E$_{d}$ of Pb adatom on Bi$_{2}$Te$_{3}$(111) surface show a significant influence of ε. Surprisingly, E$_d$ reveals a cusp-like dependence on ε due to a bifurcation in the position of the stable adsorption site at the critical tensile strain ε$_{c}$ $ \approx $ 0.8%. This constitutes a very different strain-dependence of diffusivity from all previous studies focusing on conventional metal or semiconductor surfaces. Kinetic Monte Carlo simulations of Pb deposition, diffusion, and irreversible aggregation incorporating the DFT results reveal adatom and cluster distributions compatible with our experimental observations.