Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1544685 | Physica E: Low-dimensional Systems and Nanostructures | 2013 | 5 Pages |
•The electronic wavepacket dynamic in a ladder with correlated disorder is studied.•We show that the wavepacket width develops damped Rabi-like oscillations.•We observe weak localization for antisymmetric cross-correlations.•Damped Rabi-like oscillation is observed after the wavepacket reaches the borders.•The Damped Rabi-like oscillation is absent in the strong localization regime.
In this work, we follow the time evolution of an initially localized one-electron wavepacket in a random ladder model with correlated diagonal disorder. Weak localization of the eigenstates is anticipated for antisymmetric cross-correlations with every base pair having the same average energy. We show that the wavepacket width develops damped Rabi-like oscillations after reaching the ladder's borders. The Rabi-like oscillations are shown to originate from the interference between neighboring energy eigenstates, while its damping is associated with a destructive interference due to the random scattering in the underlying random potential. The typical damping time td is estimated as a function of the ladder size N and shown to increase as td∝Nztd∝Nz with z=0.62(4)z=0.62(4). The strong localization in the absence of antisymmetric cross-correlations suppresses the oscillations.
Graphical abstractTime-evolution of the mean-squared displacement of a wavepacket for ladders of different sizes. The statistically stationary regime is reached after damped Rabi-like oscillations.Figure optionsDownload full-size imageDownload as PowerPoint slide