Non-Locality and Strong Coupling in the Heavy Fermion Superconductor CeCoIn${}_5$: A Penetration Depth Study

Abstract

We report measurements of the magnetic penetration depth $\lambda$ in single crystals of CeCoIn${}_5$ down to $\sim$0.14 K using a tunnel-diode based, self-inductive technique at 28 MHz. While the in-plane penetration depth tends to follow a power law, ${\lambda }_{//}\sim T^{3/2}$, the data are better described as a crossover between linear ({\it T} $\gg$ $T^{\ast }$) and quadratic ({\it T} $\ll T^{\ast }$) behavior, with $T^{\ast }$ the crossover temperature in the strong-coupling limit. The {\it c}-axis penetration depth ${\lambda }_{\perp }$ is linear in {\it T}, providing evidence that CeCoIn${}_5$ is a {\it d}-wave superconductor with line nodes along the {\it c}-axis. The different temperature dependences of ${\lambda }_{//}$ and ${\lambda }_{\perp }$ rule out impurity effects as the source of $T^{\ast }$.

4 pages, 3 figures

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