| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1546306 | Physica E: Low-dimensional Systems and Nanostructures | 2011 | 5 Pages |
In this paper one deals with a transparent derivation of dynamic localization conditions for the electron on the 1D lattice proceeding irrespective of the concrete form of the periodic modulation of the time dependent electric field. This amounts to account for periodic zero minima generated in the time dependence of the mean square displacement (MSD). Related DL conditions have also been established by looking for the extremal points of the MSD. Interestingly enough, the conditions established in this manner are similar to the ones written down before for pure ac fields but exhibiting a rather unusual modulation. Related time dependent currents can be readily established, now by resorting to discrete derivatives. Our typical example is the dc-ac electric field. We found that in the regime of dynamic localization the MSD and the current get characterized by the same period, i.e by the period of the time dependent modulation. Moreover, the current crosses the time axis just in the maxima-locations of the MSD.
► Dynamic localization conditions characterizing the electron on the 1D lattice under the influence of arbitrary time periodic electric fields have been written down in a transparent manner by accounting for the periodic zero minima of the mean square displacement (MSD). ► This opens the way to establish the time dependence of related currents in the regime of dynamic localization, now by applying discrete derivatives. ► We found that both the MSD and the current get characterized by the same period. ► In addition, the current crosses the time axis just in the locations of the MSD maxima. ► Small-scale oscillations localized within edge tails of periodic configurations have also been displayed.
