摘要翻译：
我们研究了由一系列独立散射单元模拟的一维无序系统中量子传输的统计特性。每个单元的特征是它的长度和它的作用，它与通过这个单元的传输概率的对数成正比。单位作用和长度是独立的随机变量，有一个共同的分布，要么窄或宽。这一研究的动机是非平稳随机势的无序系统的结果，其涨落随距离增长。在总样本长度固定的统计系综中，根据表征单位作用和长度分布的指标值，可以区分四个阶段。样品的作用与样品的电导对数成正比，在四个相中的三个相中，样品的作用服从波动标度律，因此是非自平均的。根据上述两个指数的值，样本作用随样本长度的增长通常小于线性增长（欠局部化），大于线性增长（超局部化），或线性增长但具有非平凡的样本间波动（波动局部化）。
---
英文标题：
《Statistics of quantum transmission in one dimension with broad disorder》
---
作者：
D. Boose, J.M. Luck
---
最新提交年份：
2007
---
分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
一级分类：Physics        物理学
二级分类：Mesoscale and Nanoscale Physics        介观和纳米物理
分类描述：Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构：量子点、线和阱。单电子学，自旋电子学，二维电子气，量子霍尔效应，纳米管，石墨烯，等离子纳米结构
--

---
英文摘要：
  We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by its length and by its action, which is proportional to the logarithm of the transmission probability through this unit. Unit actions and lengths are independent random variables, with a common distribution that is either narrow or broad. This investigation is motivated by results on disordered systems with non-stationary random potentials whose fluctuations grow with distance.   In the statistical ensemble at fixed total sample length four phases can be distinguished, according to the values of the indices characterizing the distribution of the unit actions and lengths. The sample action, which is proportional to the logarithm of the conductance across the sample, is found to obey a fluctuating scaling law, and therefore to be non-self-averaging, in three of the four phases. According to the values of the two above mentioned indices, the sample action may typically grow less rapidly than linearly with the sample length (underlocalization), more rapidly than linearly (superlocalization), or linearly but with non-trivial sample-to-sample fluctuations (fluctuating localization).
---
PDF链接：
https://arxiv.org/pdf/708.0761