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Quantitative test of a quantum theory for the resistive transition in a superconducting single-walled carbon nanotube bundle

Guo-meng Zhao
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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 (quasi-1D) 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 T^*_c = 0.89T_c0 is simply proportional to exp [-(3βT^*_c/T)(1-T/T^*_c)^3/2], where the barrier height has the same form as that predicted by the LAMH theory and T_c0 is the mean field superconducting transition temperature.

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Guo-meng Zhao. 2004-09-08. Quantitative test of a quantum theory for the resistive transition in a superconducting single-walled carbon nanotube bundle. https://doi.org/10.1103/physrevb.71.113404

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