Quantitative test of a quantum theory for the resistive transition in a superconducting single-walled carbon nanotube bundle
Guo-meng Zhao
DOI 10.1103/PhysRevB.71.113404 · Physical Review B
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Abstract
The phenomenon of superconductivity depends on the coherence of the phase of the superconducting order parameter. The resistive transition in quasi-one-dimensional superconductors is broad because of a large phase fluctuation. We show that the resistive transition of a superconducting single-walled carbon nanotube bundle is in quantitative agreement with the Langer-Ambegaokar-McCumber-Halperin (LAMH) theory. We also demonstrate that the resistive transition below Tc*=0.89Tc0 is simply proportional to exp[−(3βTc*∕T)(1−T∕Tc*)3∕2], where the barrier height has the same form as that predicted by the LAMH theory and Tc0 is the mean-field superconducting transition temperature.
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