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arXiv 0705.1890cond-mat.supr-concond-mat.mes-hall
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超导量子临界点的微观分析:对破缺量子相变附近输运中的有限温度交叉

Microscopic analysis of the superconducting quantum critical point: Finite temperature crossovers in transport near a pair-breaking quantum phase transition

N. Shah, A. V. Lopatin

摘要:

本文对超导量子临界点通过对破缺量子相变实现的微观分析进行了研究。电导率是研究超导涨落的重要探针,本文导出了电导率的有限温度渡越。通过使用无序系统的图解形式主义,我们能够纳入波动的库珀对和电子之间的相互作用,这是一个时间依赖的金兹伯格朗道或有效的玻色子作用形式主义的范围之外。必须超越标准近似,以捕获零温度校正,该零温度校正纯粹由(动态)量子涨落产生,并决定整个低温量子区域中的电导率行为。所有的动态贡献都是相同的顺序,并合谋加起来为负的总和,从而抑制了超导波动的结果的电导率。相反,经典和中间区域由正玻色子通道主导。我们的理论适用于一维,二维和三维,是相关的实验超导纳米线,双连接的圆柱体,薄膜和散装在磁性杂质,磁场或其他对断路器的存在下。一个窗口的非单调行为的预测存在的温度或对破坏参数被扫。

英文摘要:

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of superconducting fluctuations. By using the diagrammatic formalism for disordered systems, we are able to incorporate the interplay between fluctuating Cooper pairs and electrons, that is outside the scope of a time-dependent Ginzburg Landau or effective bosonic action formalism. It is essential to go beyond the standard approximation in order to capture the zero temperature correction which results purely from the (dynamic) quantum fluctuations and dictates the behavior of the conductivity in an entire low temperature quantum regime. All dynamic contributions are of the same order and conspire to add up to a negative total, thereby inhibiting the conductivity as a result of superconducting fluctuations. On the contrary, the classical and the intermediate regimes are dominated by the positive bosonic channel. Our theory is applicable in one, two and three dimensions and is relevant for experiments on superconducting nanowires, doubly-connected cylinders, thin films and bulk in the presence of magnetic impurities, magnetic field or other pair-breakers. A window of non-monotonic behavior is predicted to exist as either the temperature or the pair-breaking parameter is swept.

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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