Electronic Quantum Transport in Graphene Superlattices Ming-Hao Liu ^{1*}^{1}Department of Physics, National Cheng Kung University, Tainan, Taiwan* Presenter:Ming-Hao Liu, email:minghao.liu@phys.ncku.edu.tw Electrons in graphene behave like massless Dirac fermions due to the close analogy between its electronic structure that can be well described by the Dirac equation and the energy dispersion of photons in vacuum governed by the Planck-Einstein relation. When a spatially periodic potential that varies in a length scale much longer than the atomic spacing is applied to graphene, its conic band structure is folded and strongly modified, forming the so-called miniband structure in the resulting graphene superlattice. Depending on the underlying periodic potential, graphene superlattices exhibit much more complicated and peculiar transport properties than simple graphene where electron optics has been intensively investigated during the past decade. This talk gives an overview of our recent progress on quantum transport simulations for graphene superlattices, either in collaborations with or closely related to transport experiments, including two-dimensional moiré superlattices,
^{1,2} two-dimensional gate-defined superlattices,^{1,3} and one-dimensional gate-defined superlattices.^{4}
_ ¹ S.-C. Chen, et al., Commun Phys 3, 71 (2020). ² R. Kraft, et al., to be published in Phys. Rev. Lett. (2020) ³ R. Huber, et al., Nano Letters Article ASAP (2020) ⁴ W.-H. Kang, et al., to be published in Phys. Rev. B (2020) Keywords: graphene superlattice, quantum transport, tight-binding model |