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arXiv 1109.4229cond-mat.supr-connucl-th
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超导纳米结构中热涨落和量子涨落的联合效应:路径积分方法

Combined effect of thermal and quantum fluctuations in superconducting nanostructures: a path integral approach

Pedro Ribeiro, Antonio M. García-García

摘要:

研究了零维超导体中热涨落和量子涨落的联合效应。利用路径积分技术,我们得到了新的表达式的配分函数和超导序参量,其中包括这两种类型的起伏。我们的结果适用于任何温度和δ/Δ_{0}的超前阶,其中δ是平均能级间距,Δ_{0}是体能隙。我们避免分歧,在低温下,以前在文献中报道,通过识别和治疗非微扰低能量集体模式。在低温和高温极限下,我们的结果分别与随机相近似(RPA)和静态路径近似(SPA)的结果一致。

英文摘要:

We study the combined effect of thermal and quantum fluctuations in a zero dimensional superconductor. By using path integral techniques, we obtain novel expressions for the partition function and the superconducting order parameter which include both types of fluctuations. Our results are valid for any temperature and to leading order in δ/Δ_{0} where δis the mean level spacing and Δ_{0} is the bulk energy gap. We avoid divergences at low temperatures, previously reported in the literature, by identifying and treating non-perturbatively a low-energy collective mode. In the low and high temperature limit our results agrees with those from the random phase (RPA) and the static path approximation (SPA) respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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