Superconductivity in the transition metal silicide Zr 2 Ru 3 Si 4 single crystals

Single crystals of the ternary transition metal silicide ${\mathrm{Zr}}_{2}{\mathrm{Ru}}_{3}{\mathrm{Si}}_{4}$ were successfully grown using flux method, and their superconducting properties were systematically investigated. ${\mathrm{Zr}}_{2}{\mathrm{Ru}}_{3}{\mathrm{Si}}_{4}$ crystallizes in a monoclinic structure featuring a quasi-one-dimensional structural framework. Electrical resistivity, magnetic susceptibility, and specific-heat measurements reveal bulk superconductivity with a transition temperature ${T}_{c}$ of 5.0 K. The temperature dependence of the upper critical field exhibits nearly isotropic behavior for different field orientations, indicating weak anisotropy in the superconducting state. Analysis of specific-heat data suggests a fully gapped $s$-wave superconducting order parameter. The electron-phonon coupling constant estimated from the McMillan equation indicates moderately strong coupling. Additional superconducting parameters, including the coherence length, penetration depth, and Ginzburg-Landau parameter, confirm that ${\mathrm{Zr}}_{2}{\mathrm{Ru}}_{3}{\mathrm{Si}}_{4}$ is a type-II superconductor in the dirty limit. These results provide detailed experimental insight into the superconducting behavior of single-crystalline ${\mathrm{Zr}}_{2}{\mathrm{Ru}}_{3}{\mathrm{Si}}_{4}$ and offer a valuable experimental basis for future studies of its electronic band structure and the potential interplay between superconductivity and the predicted nontrivial topological electronic states.