  In terms of Bogoliubov-de Gennes approach, we investigate Majorana bound
state (MBS) in vortex of proximity-induced superconductivity on the surface of
topological insulator. Mapping out the local density of states (LDOS) of
quasiparticle excitations as a function of energy and distance from vortex
center, it is found that the spectral distribution evolves from "V"-shape to
"Y"-shape with emergence of MBS upon variation of chemical potential,
consistent with the STM/STS measurement in a very recent experiment [Xu et al.,
Phys. Rev. Lett. 114, 017001 (2015)] on Bi2Te3 thin layer on the top of NbSe2.
Moreover, we demonstrate that there is a "checkerboard" pattern in the relative
LDOS between spin up and down channels, which maps out directly the quantum
mechanical wave function of MBS. Therefore, spin-resolved STM/STS technique is
expected to be able to provide phase sensitive evidence for MBS in vortex core
of topological superconductor.
