Random-matrix theory of mesoscopic fluctuations in conductors and superconductors.
Random-matrix theory of mesoscopic fluctuations in conductors and superconductors.
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导体和超导体介观涨落的随机矩阵理论。
DOI：
10.1103/physrevb.47.15763
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
Beenakker
中科院分区：
文献类型：
--
作者：
Beenakker
本文从理论上研究了相位相干、扩散、准一维系统输运性质的样品间涨落。主要结果是传输本征值上任意线性统计量的波动方差的公式[即，一个形式为A= n=1 N f（Tn）]的可观测量。该公式类似于能级统计理论中的戴森-梅塔定理。该分析是基于传输特征值Tn（n=1，2，.，N），并在大N极限下成立
This paper contains a theoretical study of the sample-to-sample fluctuations in transport properties of phase-coherent, diffusive, quasi-one-dimensional systems. The main result is a formula for the variance of the fluctuations of an arbitrary linear statistic on the transmission eigenvalues [i.e., an observable of the form A=Σ n=1 N f(Tn)]. The formula is the analog of the Dyson-Mehta theorem in the statistical theory of energy levels. The analysis is based on an existing random-matrix theory for the joint probability distribution of the transmission eigenvalues Tn (n=1, 2,..., N), and holds in the large-N limit