Article Nonlinear Landau Fan Diagram for Graphene Electrons Exposed to a Moiré Potential

Pilkyung Moon ; Youngwook Kim ; Mikito Koshino ; Takashi Taniguchi SAMURAI ORCID (National Institute for Materials ScienceROR) ; Kenji Watanabe SAMURAI ORCID (National Institute for Materials ScienceROR) ; Jurgen H. Smet

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Citation
Pilkyung Moon, Youngwook Kim, Mikito Koshino, Takashi Taniguchi, Kenji Watanabe, Jurgen H. Smet. Nonlinear Landau Fan Diagram for Graphene Electrons Exposed to a Moiré Potential. Nano Letters. 2024, 24 (11), 3339-3346. https://doi.org/10.1021/acs.nanolett.3c04444
SAMURAI

Description:

(abstract)

Due to Landau quantization, the conductance of two-dimensional electrons exposed to a perpendicular magnetic field exhibits oscillations that generate a fan of linear trajectories when plotted in the parameter space spanned by density and magnetic field. This fan looks identical irrespective of the electron dispersion details that determine the field dependence of the Landau level energy. This is no surprise, since the position of conductance minima solely depends on the level degeneracy which is linear in flux. The fractal energy spectrum that emerges within each Landau band when electrons are also exposed to a two-dimensional superlattice potential produces numerous additional oscillations, but they too create just linear fans for the same reason. Here, we report on conductance oscillations of graphene electrons exposed to a moiré potential that defy this general rule of flux linearity and attribute the anomalous behavior to the simultaneous occupation of multiple minibands and magnetic breakdown.

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Keyword: Landau quantization, conductance oscillations, moiré potential

Date published: 2024-03-20

Publisher: American Chemical Society (ACS)

Journal:

  • Nano Letters (ISSN: 15306984) vol. 24 issue. 11 p. 3339-3346

Funding:

  • National Research Foundation of Korea Ministry of Science and ICT 2022H1D3A3A01077468
  • National Research Foundation of Korea NRF-2022M3H3A1098408
  • Deutsche Forschungsgemeinschaft priority programm 2244
  • Alexander von Humboldt-Stiftung
  • National Natural Science Foundation of China 12074260
  • Max-Planck Gesellschaft partner group
  • NYU-ECNU Institute of Physics at NYU Shanghai and NYU Shanghai Super Boost Funds
  • JSPS KAKENHI 20H00354, 21H05233, 23H02052
  • Graphene Flagship core 3 program
  • Basic Science Research Program NRF-2020R1C1C1006914
  • Korean Ministry of Science and ICT DGIST R&D Program 23-CoE-NT-01
  • MEXT Japan World Premier International Research Center Initia

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1021/acs.nanolett.3c04444

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Updated at: 2025-02-14 16:31:12 +0900

Published on MDR: 2025-02-14 16:31:12 +0900