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In the presence of spin-orbit coupling (SOC), achieving both spin and valleypolarized Dirac state is significant to promote the fantastic integration ofDirac physics, spintronics and valleytronics. Based on ab initio calculations,here we demonstrate that a class of spin-valley-coupled Dirac semimetals(svc-DSMs) in the functionalized SbAs monolayers (MLs) can host such desiredstate. Distinguished from the graphene-like 2D Dirac materials, the Dirac conesin svc-DSMs hold giant spin-splitting induced by strong SOC under inversionsymmetry breaking. In the 2.3% strained SbAsH2 ML, the Dirac fermions ininequivalent valleys have opposite Berry curvature and spin moment, giving riseto Dirac spin-valley Hall effect with constant spin Hall conductivity as wellas massless and dissipationless transport. Topological analysis reveals thatthe svc-DSM emerges at the boundary between trivial and 2D topologicalinsulators, which provides a promising platform for realizing the flexible andcontrollable tuning among different quantum states.

Two-dimensional spin-valley-coupled Dirac semimetals in functionalized SbAs monolayers