Wave packet propagation through square and triangular patterned circular potential scatterers in graphene

Abstract

Abstract Graphene, a two-dimensional material with a honeycomb lattice, exhibits massless Dirac fermion behavior, giving rise to unique electronic properties such as ultrahigh mobility and Klein tunneling. The motion of these charge carriers can be effectively tuned by introducing electrostatic potential barriers, enabling control over their transmission and scattering behavior.In this study, using the Dirac continuum model combined with the split-operator technique, we investigate the propagation dynamics of wave packets in graphene in the presence of circular potential barriers arranged in square and triangular geometries. Our results reveal a nonmonotonic dependence of the wave packet transmission on the number of barrier rows along the propagation direction: the transmission initially decreases as rows of barriers are removed, but then increases again when additional rows are eliminated. To explain the observed nonlinear behavior, the time evolution of the transmission probability is analyzed, providing insight into the interplay between wave packet dynamics and the spatial arrangement of potential barriers.These findings offer a pathway for designing graphene-based devices with tunable transport properties through engineered potential landscapes.

Affiliated Institutions

• Westminster International University in Tashkent UZ
• Universal College PH
• National University of Uzbekistan UZ
• Tashkent Institute of Irrigation and Agricultural Mechanization Engineers UZ
• Universidade Federal do Ceará BR
• Academy of Sciences Republic of Uzbekistan UZ

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