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arXiv 0910.2659cond-mat.supr-con
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临界电流以下超导窄沟道中的涨落耗散现象

Fluctuation-Dissipative Phenomena in a Narrow Superconducting Channel Carrying Current Below Critical

Yu. N. Ovchinnikov, A. A. Varlamov

摘要:

发展了考虑热涨落的超导窄沟道电流输运理论。这些波动导致样品中出现小但有限的耗散。相应的电压值被发现作为温度(接近转变温度)和任意偏置电流的函数。结果表明,当电流接近临界值时,激活能(Arrenius定律中的指数因子)与(1-J/Jc)^(5/4)成正比。这一结果与热相位涨落引起的Josephson电流衰减的仿射现象一致,其中激活能与(1-J/J_c)^(3/2)成正比(指数的差异与序参量的附加电流相关性有关)。发现激活能对电流的依赖性解释了理论预测之前和实验观察到的电阻转变的加宽之间的巨大差异。

英文摘要:

The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding voltage is found as the function of temperature (close to transition temperature) and arbitrary bias current. It is demonstrated that the value of the activation energy (exponential factor in the Arrenius law) when current approaches to the critical one is proportional to (1-J/Jc)^(5/4). This result is in concordance with the one for the affine phenomenon of the Josephson current decay due to the thermal phase fluctuations, where the activation energy proportional (1-J/J_c)^(3/2)(the difference in the exponents is related to the additional current dependence of the order parameter). Found dependence of the activation energy on current explains the enormous discrepancy between the theoretically predicted before and the experimentally observed broadening of the resistive transition.

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