Superconducting phase with a chiral f-wave pairing symmetry and Majorana fermions induced in a hole-doped semiconductor.

We show that a chiral (f+if)-wave superconducting pairing may be induced in the lowest heavy hole band of a hole-doped semiconductor thin film through proximity contact with an s-wave superconductor. The chirality of the pairing originates from the 3π Berry phase accumulated for a heavy hole moving along a close path on the Fermi surface. There exist three chiral gapless Majorana edge states, in consistence with the chiral (f+if)-wave pairing. We show the existence of zero-energy Majorana fermions in vortices in the semiconductor-superconductor heterostructure by solving the Bogoliubov-de Gennes equations numerically as well as analytically in the strong confinement limit.