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We study the stability and electronic structure of previously unexploredtwo-dimensional (2D) ternary compounds BNP$_2$ and C$_2$SiS. Using $ab$$initio$ density functional theory, we have identified four stable allotropesof each ternary compound and confirmed their stability by calculated phononspectra and molecular dynamics simulations. Whereas all BNP$_2$ allotropes aresemiconducting, we find C$_2$SiS, depending on the allotrope, to besemiconducting or semimetallic. The fundamental band gaps of the semiconductingallotropes we study range from $1.4$ eV to $2.2$ eV at the HSE06 level $0.5$ eVto $1.4$ eV at the PBE level and display carrier mobilities as high as$1.5{\times}10^5$ cm$^2$V$^{-1}$s$^{-1}$. Such high mobilities are quiteuncommon in semiconductors with so wide band gaps. Structural ridges in thegeometry of all allotropes cause a high anisotropy in their mechanical andtransport properties, promising a wide range of applications in electronics andoptoelectronics.

Low-symmetry two-dimensional BNP$_2$ and C$_2$SiS structures with high and anisotropic carrier mobilities