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Localization and transport in a strongly driven Anderson insulator

Author(s): Agarwal, K; Ganeshan, S; Bhatt, Ravindra N

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Abstract: We study localization and charge dynamics in a monochromatically driven one-dimensional Anderson insulator focusing on the low-frequency, strong-driving regime. We study this problem using a mapping of the Floquet Hamiltonian to a hopping problem with correlated disorder in one higher harmonic-space dimension. We show that (i) resonances in this model correspond to adiabatic Landau-Zener (LZ) transitions that occur due to level crossings between lattice sites over the course of dynamics; (ii) the proliferation of these resonances leads to dynamics that appear diffusive over a single drive cycle, but the system always remains localized; (iii) actual charge transport occurs over many drive cycles due to slow dephasing between these LZ orbits and is logarithmic in time, with a crucial role being played by far-off Mott-like resonances; and (iv) applying a spatially varying random phase to the drive tends to decrease localization, suggestive of weak-localization physics. We derive the conditions for the strong-driving regime, determining the parametric dependencies of the size of Floquet eigenstates, and time scales associated with the dynamics, and corroborate the findings using both numerical scaling collapses and analytical arguments.
Publication Date: 10-Jul-2017
Electronic Publication Date: 10-Jul-2017
Citation: Agarwal, K, Ganeshan, S, Bhatt, RN. (2017). Localization and transport in a strongly driven Anderson insulator. Physical Review B, 96 (10.1103/PhysRevB.96.014201
DOI: doi:10.1103/PhysRevB.96.014201
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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