Czechoslovak Journal of Physics, vol. 46, issue SUPPL. 2 (1996) pp. 571-572
Quantum fluctuations cause a decay of the supercurrent in thin superconducting wires making them resistive even at very low temperatures. We derive a microscopic. effective action formalism that goes beyond the usual TDGL approach and study quantum fluctuations of the superconducting order parameter at all temperatures below T-C. We calculate the quantum phase slip rate in thin superconducting wires, demonstrate the importance of dissipation in a quantum phase slip process, and evaluate the resistance R(T) of the wire. In very thin wires the effect is well observable, even at zero temperature.
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