Abstract
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 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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Acknowledgements
We are especially grateful to W. De Roeck for enlightening discussions on Mott’s law as well as previous collaborations on this topic. We thankD. Abanin, W.-W. Ho and M. Knap for previous collaboration and/or useful discussions.
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Communicated by Vieri Mastropietro.
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Ducatez, R., Huveneers, F. Anderson Localization for Periodically Driven Systems. Ann. Henri Poincaré 18, 2415–2446 (2017). https://doi.org/10.1007/s00023-017-0574-1
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DOI: https://doi.org/10.1007/s00023-017-0574-1