Anderson Localization for Periodically Driven Systems

被引：0
作者：
Raphael Ducatez
François Huveneers
机构：
[1] Université Paris-Dauphine,PSL Research University, CNRS, CEREMADE
来源：
Annales Henri Poincaré | 2017年 / 18卷
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摘要：
We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice Zd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb Z}^d$$\end{document}, periodically driven on each site. Under two different sets of conditions on the driving, we show that Anderson localization survives if the driving frequency is higher than some threshold value. 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 connection with Mott’s law, derived within the linear response formalism.
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页码：2415 / 2446
页数：31
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