Lavor I R, da Costa D R, Chaves Andrey, Sena S H R, Farias G A, Van Duppen B, Peeters F M
Instituto Federal de Educação, Ciência e Tecnologia do Maranhão, KM-04, Enseada, 65200-000, Pinheiro, Maranhão, Brazil.
Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-900 Fortaleza, Ceará, Brazil.
J Phys Condens Matter. 2021 Mar 3;33(9):095503. doi: 10.1088/1361-648X/abcd7f.
The time evolution of a low-energy two-dimensional Gaussian wave packet in ABC-stacked n-layer graphene (ABC-NLG) is investigated. Expectation values of the position (x, y) of center-of-mass and the total probability densities of the wave packet are calculated analytically using the Green's function method. These results are confirmed using an alternative numerical method based on the split-operator technique within the Dirac approach for ABC-NLG, which additionally allows to include external fields and potentials. The main features of the zitterbewegung (trembling motion) of wave packets in graphene are demonstrated and are found to depend not only on the wave packet width and initial pseudospin polarization, but also on the number of layers. Moreover, the analytical and numerical methods proposed here allow to investigate wave packet dynamics in graphene systems with an arbitrary number of layers and arbitrary potential landscapes.
