Superconductivity versus structural phase transition in the closely related Bi${}_2$Rh${}_{3.5}$S${}_2$ and Bi${}_2$Rh${}_3$S${}_2$

Abstract

Single crystals of Bi${}_2$Rh${}_3$S${}_2$ and Bi${}_2$Rh${}_{3.5}$S${}_2$ were synthesized by solution growth and the crystal structures, thermodynamic and transport properties of both compounds were studied. In the case of Bi${}_2$Rh${}_3$S${}_2$, a structural first-order transition at around 165 K is identified by single crystal diffraction experiments, with clear signatures visible in resistivity, magnetization and specific heat data. No superconducting transition for Bi${}_2$Rh${}_3$S${}_2$ was observed down to 0.5 K. In contrast, no structural phase transition at high temperature was observed for Bi${}_2$Rh${}_{3.5}$S${}_2$, however bulk superconductivity with a critical temperature, $T_c\approx$ 1.7 K was observed. The Sommerfeld coefficient $\gamma$\ and the Debye temperature(${\Theta }_{\text{D}}$) were found to be 9.4 mJ mol${}^{-1}$ K${}^{-2}$ and 209 K respectively for Bi${}_2$Rh${}_3$S${}_2$, and 22 mJ mol${}^{-1}$ K${}^{-2}$ and 196 K respectively for Bi${}_2$Rh${}_{3.5}$S${}_2$. Study of the specific heat in the superconducting state of Bi${}_2$Rh${}_{3.5}$S${}_2$ suggests that Bi${}_2$Rh${}_{3.5}$S${}_2$ is a weakly coupled, BCS superconductor.

arXiv comment8 pages, 11 figures

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• $T_3$Pb${}_{2}C{h}_2$ ($T$=Pd,Pt and $Ch$=S,Se) with transition metal kagome net: Dynamical properties, phonon nodal line, phonon surface states, and chiral phonons
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Superconducting properties of van der Waals metal-rich subsulfide Nb${}_{1.7}$Ta${}_{3.3}$S${}_2$
• Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles