Granular Effect on Electron Conduction in Discontinuous Metal Films

We reanalyze the seminal work by Dolan and Osheroff [Phys. Rev. Lett. $\textbf{43}$, 721 (1979)] which reported anomalous low-temperature conduction of high-resistivity thin-film metal strips. We argue that the observed logarithmic increase of resistance with decreasing temperature in their 3-nm-thick Au-Pd strips be ascribed to the granularity effect on electron conduction in discontinuous metal films. This reanalysis is further supported by our measurements on conducting Pb$_x$(SiO$_2$)$_{1-x}$ nanogranular films, where $x$ is the volume fraction of Pb.Comment: 7 pages, 2 figure

Two-Channel Kondo Effects in Al/AlOx_{x}/Sc Planar Tunnel Junctions

We have measured the differential conductances $G(V,T)$ in several Al/AlO$_{x}$/Sc planar tunnel junctions between 2 and 35 K. As the temperature decreases to $\sim$ 16 K, the zero-bias conductance $G(0,T)$ crosses over from a standard $-$ln$T$ dependence to a novel $- \sqrt{T}$ dependence. Correspondingly, the finite bias conductance $G(V,T)$ reveals a two-channel Kondo scaling behavior between $\sim$ 4 and 16 K. The observed two-channel Kondo physics is ascribed to originating from a few localized spin-$\frac12$ Sc atoms situated slightly inside the AlO$_x$/Sc interface.Comment: 4 pages, 3 figures. Phys. Rev. B (accepted