Quantum transport simulations for MoS₂ superlattices

Ming-Hao Liu^1*, Aitor Garcia-Ruiz¹

¹Department of Physics, National Cheng Kung University, Tainan, Taiwan

* Presenter:Ming-Hao Liu, email:minghao.liu@phys.ncku.edu.tw

Graphene superlattices, realized either by the moiré pattern [1] or the periodically modulated gate capacitance [2], have shown so much fruitful physics due to the formation of minibands. Replacing graphene with any other two-dimensional (2D) materials, such as transition metal dichalcogenides (TMDCs), exciting new physics is expected to be explored. Here, we consider MoS₂ described by a parabolic conduction band discretized on a square lattice of a scalable lattice constant in the presence of a superlattice potential. We perform quantum transport simulations for such MoS₂ superlattices using the real-space Green's function method, considering two-terminal structures at zero temperature, in the presence of a perpendicular magnetic field. The numerically obtained transmission as a function energy and magnetic field is shown to exhibit fractal structures that are highly consistent with the resulting Hofstadter's butterfly computed by the continuum model. When time allows, different types of MoS₂ superlattices will be further discussed.
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[1] L. Ponomarenko et al., Nature 497, 594 (2013); C. Dean et al., Nature 497, 598 (2013).
[2] C. Forsythe et al., Nat. Nanotechnol. 13, 566 (2018); R. Huber et al., Nano Letters 20, 8046 (2020).

Keywords: MoS2, quantum transport, superlattice