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We theoretically investigate the development of unconventionalsuperconductivity in the Sb(111) thin film when its Fermi level is tuned tonear type-II Van Hove singularities (VHS), which locate at non-time-reversalinvariant momenta. Via patch renormalization group analysis, we show that theleading instability is a chiral p + ip-wave superconducting order. The originof such pairing relies on the hexagonal structure of the VHS and strongspin-orbit coupling, resulting in the anisotropy of the electron-electronscattering to provide an attractive channel. Our study hence suggests thatsuperconducting Sb thin films originated from VHS physics may host Majoranazero modes in the magnetic vortices and provides another applicationperspective to such material.

Chiral p-wave superconductivity in Sb(111) thin films close to Van Hove singularities