Ds. Golubev et Ad. Zaikin, Quantum tunneling of the order parameter in superconducting nanowires - art. no. 014504, PHYS REV B, 6401(1), 2001, pp. 4504
Quantum tunneling of the superconducting order parameter gives rise to the
phase slippage process which controls the resistance of ultrathin supercond
ucting wires at sufficiently low temperatures. If the quantum phase slip ra
te is high, superconductivity is completely destroyed by quantum fluctuatio
ns and the wire resistance never decreases below its normal state value. We
present a detailed microscopic theory of quantum phase slips in homogeneou
s superconducting nanowires. Focusing our attention on relatively short wir
es we evaluate the quantum tunneling rate for phase slips, both the quasicl
assical exponent and the pre-exponential factor. In very thin and dirty met
allic wires the effect is shown to he clearly observable even at T -->0. Ou
r results are fully consistent with recent experimental findings [A. Bezrya
din, C.N. Lau, and M. Tinkham, Nature (London) 404, 971 (2000)] which provi
de direct evidence for the effect of quantum phase slips.