Localization properties of driven disordered one-dimensional systems

Abstract

We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a one-dimensional tight-binding model with different amounts of disorder in the lattice. As compared to the autonomous system, the localization length for the driven system can increase or decrease depending on the frequency of the driving. We investigate the dependence of the localization length with the particle's energy and prove that it is always periodic. Its maximum is not necessarily at the band center as in the non-driven case. We study the adiabatic limit by introducing a phenomenological inelastic scattering rate which limits the delocalizing effect of low-frequency fields.

Accepted for publication in European Physical Journal B

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• Floquet-Drude conductivity
• Localization length versus level repulsion in 1-D driven disordered quantum wires
• Discontinuous conductance of bichromatically ac-gated quantum wires
• Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal
• Localization in periodically modulated speckle potentials
• Controlled localization of interacting bosons in a disordered optical lattice
• Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields
• Particle-hole symmetric localization in optical lattices using time modulated random on-site potentials