Electronic Dynamics in 2D Aperiodic Systems under Effect of Electric Field

On a square lattice with aperiodic hopping terms, the dynamics of an initially localized one electron wave-packet is investigated using a Taylor formalism to solve Schrodinger dynamic equation. The calculations suggest that a fast electron propagation (ballistic mode) is detected for a range of values of aperiodicity measure nu. When inserting static electric field effects in the model, the existence of an oscillatory behavior analogously to electronic dynamics in crystalline systems is verified (i.e., Bloch oscillations). The frequency and the the size of these oscillations are analyzed and the results are compared with the standard semi-classical approach used in crystalline lattices.