We study numerically Majorana fermions (MFs) induced by a charged impurity in
topological superconductors. It is revealed from the relevant Bogoliubov-de
Gennes equations that (i) for quasi-one dimensional systems, a pair of MFs are
bounded at the two sides of one charge impurity and well separated; and (ii)
for a two dimensional square lattice, the charged-impurity-induced MFs are
similar to the known pair of vortex-induced MFs, in which one MF is bounded by
the impurity while the other appears at the boundary. Moreover, the
corresponding local density of states is explored, demonstrating that the
presence of MF states may be tested experimentally.Comment: 5 pages, 5 figure