Anisotropic $H_{c2}$, thermodynamic and transport measurements, and pressure dependence of $T_c$ in K${}_2$Cr${}_3$As${}_3$ single crystals

Abstract

We present a detailed study of single crystalline K${}_2$Cr${}_3$As${}_3$ and analyze its thermodynamic and transport properties, anisotropic $H_{c2}(T)$, and initial pressure-dependence of $T_c$. In zero-field, the temperature-dependent resistivity is metallic. Deviation from a linear temperature-dependence is evident below 100 K and a $T^3$-dependence is roughly followed from just above $T_c$ ($\sim$10 K) to $\sim$ 40 K. Anisotropic $H_{c2}(T)$ data were measured up to 140 kOe with field applied along and perpendicular to the rod-like crystals. For the applied field perpendicular to the rod, $H_{c2}(T)$ is linear with a slope $\sim$-70 kOe/K. For field applied along the rod, the slope is about -120 kOe/K below 70 kOe. Above 70 kOe, the magnitude of the slope decreases to $\sim$-70 kOe/K. The electronic specific heat coefficient, $\gamma$, just above $T_c$, is 73 mJ/mol K${}^2$; the Debye temperature, ${\Theta }_D$, is 220 K. The specific heat jump at the superconducting transition $\Delta$C $\sim$ 2.2 $\gamma T_c$. Finally, for hydrostatic pressures up to $\sim$7 kbar, $T_c$ decreases under pressure linearly at a rate of -0.034 K/kbar.

figures are revised

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