Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex

Abstract

We numerically show that the zero-energy Majorana surface states are suppressed around a vortex in the three-dimensional topological superconductors such as Cu${}_x$Bi${}_2$Se${}_3$ and Sn${}_{1-x}$In${}_x$Te. On the other hand, the zero-energy Majorana bound states along the vortex line are robust against cut by the surface. The suppression of the surface bound states is similar to that with a magnetic impurity on the surface of the topological insulator. The suppression of the surface-bound states around a vortex can be observed as the unconventional energy dependence of imaging of the scanning tunneling microscopy/spectroscopy.

4 pages, 4 figures, Accepted for publication in J. Phys. Soc. Jpn

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