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Topological superconductors (TSC) become a focus of research due to theaccompanying Majorana fermions. However, the experimentally reported TSC areextremely rare. The recent experiments reported the kagome TSC AV$_{3}$Sb$_{5}$(A=K, Rb, Cs), which exhibit unique superconductivity, topological surfacestates (TSS), and Majorana bound states. More recently, the firsttitanium-based kagome superconductor CsTi$ _{3} $Bi$ _{5} $ with nontrivialtopology was successfully synthesized as a perspective TSC. Given that Cscontributes little to the electronic structures of CsTi$ _{3} $Bi$ _{5} $ andbinary compounds may be easier to be synthesized, here, by density functionaltheory calculations, we predict five stable non-magnetic kagome compounds Ti$_{6} $X$ _{4} $ (X = Bi, Sb, Pb, Tl, In) which exhibit superconductivity withcritical temperature Tc = 3.8$ - $5.1 K, nontrivial $\mathbb{Z}$$_2$ bandtopology, and TSS close to the Fermi level. In addition, the large intrinsicspin Hall effect is obtained in Ti$ _{6} $X$ _{4} $, which is caused by gappedDirac nodes and nodal lines due to a strong spin-orbit coupling. This workoffers new platforms for TSC and spintronic devices.

Topological superconductivity and large spin Hall effect in the kagome family Ti6X4 (X = Bi, Sb, Pb, Tl, In)