Effect of impurity scattering on superconductivity in K${}_2$Cr${}_3$As${}_3$

Abstract

Impurity scattering in a superconductor may serve as an important probe for the nature of superconducting pairing state. Here we report the impurity effect on superconducting transition temperature $T_{\mathrm{c}}$ in the newly discovered Cr-based superconductor K${}_2$Cr${}_3$As${}_3$. The resistivity measurements show that the crystals prepared using high-purity Cr metal ($\ge$99.99\%) have an electron mean free path much larger than the superconducting coherence length. For the crystals prepared using impure Cr that contains various \emph{nonmagnetic} impurities, however, the $T_{\mathrm{c}}$ decreases significantly, in accordance with the generalized Abrikosov-Gor'kov pair-breaking theory. This finding supports a non-$s$-wave superconductivity in K${}_2$Cr${}_3$As${}_3$.

5 pages, 3 figures, accepted for publication in SCIENCE CHINA Physics, Mechanics & Astronomy

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• Multiband one-dimensional electronic structure and spectroscopic signature of Tomonoga-Luttinger liquid behavior in K${}_2$Cr${}_3$As${}_3$
• Nodal superconducting gap structure in the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$ investigated using $\mu$SR measurements
• Temperature and Angular Dependence of the Upper Critical Field in K${}_2$Cr${}_3$As${}_3$
• ${}^{133}$Cs and ${}^{75}$As NMR investigation of the normal metallic state of the quasi-one-dimensional Cs${}_2$Cr${}_3$As${}_3$
• Tuning from Frustrated Magnetism to Superconductivity in Quasi-One-Dimensional KCr${}_3$As${}_3$ Through Hydrogen Doping
• Frustrated structural instability in superconducting quasi-one-dimensional K${}_2$Cr${}_3$As${}_3$
• Gapless spin-excitations in the superconducting state of a quasi-one-dimensional spin-triplet superconductor
• Multiband superconductivity and possible nodal gap in RbCr${}_3$As${}_3$ revealed by Andreev reflection and single-particle tunneling measurements
• Single crystal growth of and hyperfine couplings in the spin-triplet superconductor K${}_2$Cr${}_3$As${}_3$
• Bulk superconductivity and Pauli paramagnetism in nearly stoichiometric CuCo${}_2$S${}_4$
• Hydrogen Doping Induced $p_x\pm i{p}_y$ Triplet Superconductivity in Quasi-One-Dimensional K${}_2$Cr${}_3$As${}_3$