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arXiv 1004.4436cond-mat.mes-hall
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通过驱动交流场控制量子线的电导统计

Controlling conductance statistics of quantum wires by driving ac fields

Victor A. Gopar, Rafael A. Molina

摘要:

我们计算了一维无序系统--量子线--在含时场作用下电导P(G)的全分布。我们的计算是基于Floquet理论和本地化的缩放方法。所施加的交流电场对电导统计的影响可能很强,并且在某些情况下是戏剧性的,如在电导分布显示出尖锐截止的高频区域。在这个频率范围内,电导被写成一个与频率有关的项和一个与场无关的项的乘积,后者包含了导线中无序的信息。因此,我们使用梅尔尼科夫方程的时间无关传输的解决方案,以计算P(G)在任何程度的混乱。在较低的频率,它被发现的电导分布和传输Floquet模式的相关性描述的Dorokhov-Mello-Pereyra-Kumar方程的有效通道数的解决方案。在由无序或交流场引起的强定域中,P(G)是对数正态分布。我们的理论结果进行了验证数值使用单带安德森哈密顿量。

英文摘要:

We calculate the entire distribution of the conductance P(G) of a one-dimensional disordered system --quantum wire-- subject to a time-dependent field. Our calculations are based on Floquet theory and a scaling approach to localization. Effects of the applied ac field on the conductance statistics can be strong and in some cases dramatic, as in the high-frequency regime where the conductance distribution shows a sharp cut-off. In this frequency regime, the conductance is written as a product of a frequency-dependent term and a field independent term, the latter containing the information on the disorder in the wire. We thus use the solution of the Mel'nikov equation for time-independent transport to calculate P(G) at any degree of disorder. At lower frequencies, it is found that the conductance distribution and the correlations of the transmission Floquet modes are described by a solution of the Dorokhov-Mello-Pereyra-Kumar equation with an effective number of channels. In the regime of strong localization, induced by the disorder or the ac field, P(G) is a log-normal distribution. Our theoretical results are verified numerically using a single-band Anderson Hamiltonian.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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