Bloch oscillations in an aperiodic one-dimensional potential

Abstract

We study the dynamics of an electron subjected to a static uniform electric field within a one-dimensional tight-binding model with a slowly varying aperiodic potential. The unbiased model is known to support phases of localized and extended one-electron states separated by two mobility edges. We show that the electric field promotes sustained Bloch oscillations of an initial Gaussian wave packet whose amplitude reflects the band width of extended states. The frequency of these oscillations exhibit unique features, such as a sensitivity to the initial wave packet position and a multimode structure for weak fields, originating from the characteristics of the underlying aperiodic potential.

arXiv comment6 pages, 7 figures

References in corpus (8)

• Localization and Mobility Edge in One-Dimensional Potentials with Correlated Disorder
• Experimental evidence of delocalized states in random dimer superlattices
• Experimental observation of the mobility edge in a waveguide with correlated disorder
• Bloch-like oscillations in a one-dimensional lattice with long-range correlated disorder
• Absence of localization and large dc conductance in random superlattices with correlated disorder
• Enhanced suppresion of localization in a continuous Random-Dimer Model
• Current oscillations in a metallic ring threaded by a time-dependent magnetic flux
• Three-dimensional effects on extended states in disordered models of polymers

Cited by in corpus (8)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Symmetry-Induced Tunnelling in One-Dimensional Disordered Potentials
• Stability of electric-field-driven MBL in an interacting long range hopping model
• Bias driven coherent carrier dynamics in a two-dimensional aperiodic potential
• `Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field
• Bloch-Landau-Zener oscillations in a quasi-periodic potential
• Quantum transport under oscillatory drive with disordered amplitude
• Bloch-Landau-Zener Oscillations in Moiré Lattices