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 Schrödinger dynamic equation. The calculations suggest that a fast electron propagation (ballistic mode) is detected for a range of values of aperiodicity measure ν. 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. The electronic propagation in systems with aperiodicity under effect of a static electric field is analyzed. The results suggest that the system may exhibit a fast electron propagation (ballistic propagation) depending on the degree of aperiodicity. The interaction with a static electric field promotes the appearance of an oscillatory behavior which is similar to the Bloch oscillations.