Superconducting phase with a chiral $f$-wave pairing symmetry and Majorana fermions induced in a hole-doped semiconductor - Condensed Matter > Superconductivity

Superconducting phase with a chiral $f$-wave pairing symmetry and Majorana fermions induced in a hole-doped semiconductor - Condensed Matter > Superconductivity - Download this document for free, or read online. Document in PDF available to download.

Abstract: We show that a chiral $f+if$-wave superconducting pairing may be induced inthe lowest heavy hole band of a hole-doped semiconductor thin film throughproximity contact with an \textit{s}-wave superconductor. The chirality of thepairing originates from the $3\pi$ Berry phase accumulated for a heavy holemoving along a close path on the Fermi surface. There exist three chiralgapless Majorana edge states, in consistence with the chiral $f+if$% -wavepairing. We show the existence of zero energy Majorana fermions in vortices inthe semiconductor-superconductor heterostructure by solving theBogoliubov-de-Gennes equations numerically as well as analytically in thestrong confinement limit.

Author: Li Mao, Junren Shi, Qian Niu, Chuanwei Zhang

Source: https://arxiv.org/