Abstract

In models of hopping disorder in the absence of external fields and at the band center, the electrons are less localized in space than the standard exponential Anderson localization. A signature of this anomalous localization is the square root dependence of the logarithmic average of the conductance on the system length, in contrast to the linear length dependence for Anderson localized systems. We study the effect of a time-periodic external field in the scaling and distribution of the conductance of a quantum wire with hopping disorder. In the low-frequency regime, we show a transition between anomalous localization and Anderson localization as a function of the parameters of the external field. The Floquet modes mix different energy contributions and standard length dependence of the logarithmic average of the conductance is gradually recovered as we lower the frequency or increase the amplitude of the external field. In the high-frequency regime, the system presents still anomalous localization but the conductance is also renormalized, depending on the parameters of the external field, by interference effects at the coupling to the leads. This allows for a high degree of control of the average of the conductance.

Graphical abstract

中文翻译：

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时间周期场驱动的非对角线紊乱系统中异常和Anderson定位之间的过渡

摘要

在没有外部场且在能带中心的跳变无序模型中，电子在空间中的定位要比标准指数安德森定位少。与安德森本地化系统的线性长度相关性相反，这种异常本地化的特征是电导的对数平均值对系统长度的平方根依赖性。我们研究了时间周期外部场在具有跳变障碍的量子线的电导率的缩放和分布中的作用。在低频状态下，我们显示了异常定位和Anderson定位之间的过渡，这是外部场参数的函数。浮球模式混合了不同的能量贡献，并且随着我们降低频率或增加外场的幅度，逐渐恢复了电导率的对数平均值的标准长度依赖性。在高频状态下，系统仍然呈现异常定位，但电导率也会根据外部场的参数而受到归因于与导线耦合的干扰影响的影响而重新归一化。这允许高度控制电导的平均值。

图形概要