周期驱动系统的Anderson局部化
Anderson Localisation for periodically driven systems
摘要:
我们研究了强无序紧束缚Anderson模型在晶格$\mathbb{Z}^d$上的局域化的持久性,周期性地驱动每个站点。在两组不同的条件下,我们表明,安德森局域化生存,如果驱动频率高于一些阈值,我们确定。我们讨论了我们的结果的含义,最近的发展在凝聚态物理,我们比较它们与绝热理论的预测发出,我们评论的connanguity与莫特定律,在线性响应形式主义。
英文摘要:
We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $\mathbb{Z}^d$, periodically driven on each site. Under two different sets of conditions, we show that Anderson localization survives if the driving frequency is higher than some threshold value that we determine. We discuss the implication of our results for recent development in condensed matter physics, we compare them with the predictions issuing from adiabatic theory, and we comment on the connexion with Mott's law, derived within the linear response formalism.
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