Introducing directionality to Anderson localization: The transport properties of quantum railroads
Introducing directionality to Anderson localization: The transport properties of quantum railroads
复制标题
将方向性引入安德森定位：量子铁路的传输特性
DOI：
10.1139/p94-071
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发表时间：
1994
影响因子：
1.2
通讯作者：
G. Kirczenow
中科院分区：
文献类型：
--
作者：
C. Barnes;B. Johnson;G. Kirczenow
本文研究了一类量子力学波导：量子铁路（QRR）的输运性质。这些波导的特征在于具有在相反方向上沿波导沿着承载电流的绝热模式;例如N个正向模式和M个反向模式。安德森局域化和整数量子霍尔效应分别是无序N = M和M = 0情况的特征。 我们考虑任意N和M的一般情况下，并表明，它可以理解的定向本地化。因此，我们统一了安德森本地化和整数量子霍尔效应的理论，并展示了它们如何适应一个更广泛的概念框架。我们发现，在任何QRR总是有完美的传输有效的绝热模式与其余的受到多重散射和干扰效应的特性的N = M的情况下。
We present a study of the transport properties of a general class of quantum mechanical wave guides: quantum railroads (QRR). These wave guides are characterized by having adiabatic modes that carry current along the wave guide in opposite directions; for example N forward modes and M reverse modes. Anderson localization and the integer quantum Hall effect are characteristic of the disordered N = M and M = 0 cases, respectively. We consider the general case of arbitrary N and M, and show that it can be understood in terms of directed localization. Thus, we unify the theories of Anderson localization and the integer quantum Hall effect and demonstrate how they fit into a broader conceptual framework. We find that in any QRR there are always perfectly transmitted effective adiabatic modes with the remainder being subject to multiple scattering and interference effects characteristic of the N = M case.