Electronic orders near the type-II van Hove singularity in BC${}_3$

Abstract

Using the functional renormalization group, we investigate the electron instability in the single-sheet BC${}_3$ when the electron filling is near a type-II van Hove singularity. For a finite Hubbard interaction, the ferromagnetic-like spin density wave order dominates in the immediate vicinity of the singularity. Elsewhere near the singularity the p-wave superconductivity prevails. We also find that a small nearest-neighbor Coulomb repulsion can enhance the superconductivity. Our results show that BC${}_3$ would be a promising candidate to realize topological $p+i{p}^{\prime }$ superconductivity, but the transition temperature is practically sizable only if the local interaction is moderately strong.

arXiv comment6 pages, 6 color figures. arXiv admin note: text overlap with arXiv:1503.00471

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• Matrix element interference in $N$-patch functional renormalization group
• Comment on "Unconventional Fermi Surface Instabilities in the Kagome Hubbard Model" by M. Kiesel, C. Platt, and R. Thomale, Phys. Rev. Lett. {\bf 110}, 126405 (2013)
• Chiral and helical $p$-wave superconductivity in doped bilayer BiH
• Spin-triplet pairing instability in a two-dimensional repulsive Hubbard model