量子随机电阻网络中的扩散和局域化
Diffusion and localization in quantum random resistor networks
摘要：
在一个广泛的类新材料的传输的理论描述是基于量子逾渗和相关的随机电阻网络（RRN）模型。我们研究了不同的二维量子渗流模型的电子态的本地化特性，结合核多项式展开技术使用精确对角化。采用局部分布的方法，我们确定的算术和几何平均密度的状态，以区分扩展，载流状态从本地化的。为了进一步了解RRN模型本征态的性质，我们分析了局域态密度在整个参数和能量范围内的概率分布。对于最近提出的RRN表示的石墨烯片，我们讨论泄漏效应。
英文摘要：
The theoretical description of transport in a wide class of novel materials is based upon quantum percolation and related random resistor network (RRN) models. We examine the localization properties of electronic states of diverse two-dimensional quantum percolation models using exact diagonalization in combination with kernel polynomial expansion techniques. Employing the local distribution approach we determine the arithmetically and geometrically averaged densities of states in order to distinguish extended, current carrying states from localized ones. To get further insight into the nature of eigenstates of RRN models we analyze the probability distribution of the local density of states in the whole parameter and energy range. For a recently proposed RRN representation of graphene sheets we discuss leakage effects.
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