Trapping effects in wave-packet scattering in a double-quantum-dot Aharonov-Bohm interferometer

The Split-Operator Technique for the Study of Spinorial Wavepacket Dynamics

“…Investigating the propagation of wave packets in a given system allows us to obtain information about, e.g., its energy spectrum, [1] its electric and optical conductivity, [2] its local density of states [3] and so on. In fact, wave packet dynamics methods have been successfully used in the study of the Aharonov-Bohm effect in several systems, [4][5][6][7] in the theoretical description of scanning gate microscopy experiments, [8] in understanding the break of Onsager symmetry in a semiconductor quantum wire coupled to a metal, [9] and in the interpretation of interference related effects in the experimentally obtained conductance of an asymmetric quantum ring, [10] just to mention a few examples. Lately, the interest in wave packet dynamics methods for Dirac particles has been increasing as well, [11,12] specially after the first experimental realization of graphene, [13] a single layer of carbon atoms where low energy electrons behave as massless Dirac Fermions, thus exhibiting a series of interesting transport phenomena, such as the zitterbewegung (trembling motion) [14][15][16] and Klein tunneling.…”

Transient probing of the symmetry and the asymmetry of electron interference

“…56 The effects of Fano resonances on the dynamics of wave scatterings with a coupled DQD molecule in the AB interferometer has been inspected in the time domain. 57 The choice of a simple uncoupled DQD placed in an AB interferometer provides a suitable platform to clearly define the geometric symmetry of the DQD molecule and the symmetry associated with initial occupations in the QDs. In a previous paper, we have comprehended the flux responses of the QD occupations, the transport currents as well as the circulating currents of the DQD AB interferometers in the transient as well as in the steadystate regimes.…”