Topological p+ip superconductivity in doped graphene-like single-sheet materials BC${}_3$

Abstract

We theoretically study exotic superconducting phases in graphenelike single-sheet material BC${}_3$ doped to its type-II Van Hove singularity whose saddle point momenta are {\it not} time-reversal-invariant. From combined renormalization group analysis and RPA calculations, we show that the dominant superconducting instability induced by weak repulsive interactions is in the time-reversal-invariant $p+ip$ pairing channel because of the interplay among dominant ferromagnetic fluctuations, subleading spin fluctuations at finite momentum, and spin-orbit coupling. Such time-reversal-invariant $p+ip$ superconductivity has nontrivial ${\mathbb{Z}}_2$ topological invariant. Our results show that doped BC${}_3$ provides a promising route to realize a genuine 2D helical $p+ip$ superconductor.

5.2 pages + appendix, 3 figures, published version

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