Robust Gap less Surface State and Rashba-Splitting Bands upon Surface Deposition of Magnetic Cr on Bi2Se3

The interaction between magnetic impurities and the gapless surface state is of Critical importance for realizing novel quantum phenomena and new functionalities. in topological insulators. By combining angle-resolved photoemission-spectroscopic experiments with density functional theory calculations; we show that surface deposition of Cr atoms on Bi2Se3 does not lead to gap opening of the surface state at the Dirac point, indicating the absence :Of long-range out-of-plane ferromagnetism down to our measurement temperature of 15 K. This is in sharp contrast to bulk Cr doping; and the origin is attributed to different Cr occupation sites. These results highlight the importance of nanoscale configuration of doped magnetic impurities in determining the electronic and magnetic properties of topological insulators.