Quantum Transport Simulations for Transverse Magnetic Focusing in 1D Graphene Superlattices
Wun-Hao Kang1*, Szu-Chao Chen1, Ming-Hao Liu1
1Department of Physics, National Cheng Kung University, Tainan, Taiwan
* Presenter:Wun-Hao Kang, email:ranidae12@yahoo.com.tw
One-dimensional (1D) superlattice potential has been found to induce extra Dirac points and predicted to exhibit peculiar transport behaviors. However, experimentally realizing 1D superlattice in graphene has been a long standing challenge. Motivated by a recent transport experiment [1] reporting the anisotropic band flattening in graphene with 1D superlattices, we consider the same device geometry to perform finite-element electrostatic simulations to extract realistic periodic potential profiles, which are subsequently implemented in quantum transport simulations. By optimizing the device geometry for symmetry considerations, we have investigated transport behaviors of such "virtual devices" of 1D graphene superlattice at zero and finite magnetic field [2]. This talk focuses on the magnetotransport simulations reported in [2], considering transverse magnetic focusing (TMF) geometry. Our quantum transport simulations taking into account realistic device geometry reveal complex TMF states due to the gate-tunable 1D superlattice potential.

[1] Y. Li, S. Dietrich, C. Forsythe, T. Taniguchi, K. Watanabe, P. Moon, and C. R. Dean, arXiv:2006.08868
[2] W.-H. Kang, S.-C. Chen, M.-H. Liu, accepted for publication in Phys. Rev. B.

Keywords: graphene, 1D superlattice, quantum transport