AI Article Synopsis
- The study focuses on the movement of charged particles in graphene and a two-dimensional electron gas, using Dirac and Schrödinger equations for analysis.
- The dynamics of these particles are simulated numerically as Gaussian wavepackets, exploring their behavior when interacting with magnetic and potential barriers.
- Key findings reveal that the average position of the wavepacket does not align with classical predictions, and under certain conditions, the wavepacket doesn't have to cross the barrier during scattering, also showing noticeable trembling motion in graphene without an external magnetic field.
Article Abstract
We investigate the dynamics of a charged particle moving in a graphene layer and in a two-dimensional electron gas, where it obeys the Dirac and the Schrödinger equations, respectively. The charge carriers are described as Gaussian wavepackets. The dynamics of the wavepackets is studied numerically by solving both quantum-mechanical and relativistic equations of motion. The scattering of such wavepackets by step-like magnetic and potential barriers is analysed for different values of wavepacket energy and width. We find: (1) that the average position of the wavepacket does not coincide with the classical trajectory, and (2) that, for slanted incidence, the path of the centre of mass of the wavepacket does not have to penetrate the barrier during the scattering process. Trembling motion of the charged particle in graphene is observed in the absence of an external magnetic field and can be enhanced by a substrate-induced mass term.
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| http://dx.doi.org/10.1088/0953-8984/23/27/275801 | DOI Listing |
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