Evidence for Macroscopic Quantum Tunneling of Phase Slips in Long   One-Dimensional Superconducting Al Wires
  Quantum phase slips have received much attention due to their relevance to superfluids in reduced dimensions and to models of cosmic string production in the Early Universe. Their establishment in one-dimensional superconductors has remained controversial. Here we study the nonlinear voltage-current characteristics and linear resistance in long superconducting Al wires with lateral dimensions $\sim$ 5 nm. We find that, in a magnetic field and at temperatures well below the superconducting transition, the observed behaviors can be described by the non-classical, macroscopic quantum tunneling of phase slips, and are inconsistent with the thermal-activation of phase slips. 
Fabio Altomare, Albert M. Chang, Michael R. Melloch, Yuguang Hong,   Charles W. Tu