Shifted Landau levels in curved graphene sheets.
- Debus JD ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Wolfgang-Pauli-Str. 27, HIT, CH-8093 Zürich, Switzerland.
- Mendoza M
- Herrmann HJ
- 2018-09-05
Published in:
- Journal of physics. Condensed matter : an Institute of Physics journal. - 2018
English
We study the Landau levels in curved graphene sheets by measuring the discrete energy spectrum in the presence of a magnetic field. We observe that in rippled graphene sheets, the Landau energy levels satisfy the same square root dependence on the energy quantum number as in flat sheets, [Formula: see text]. Though, we find that the Landau levels in curved sheets are shifted towards lower energies by an amount proportional to the average spatial deformation of the sheet. Our findings are relevant for the quantum Hall effect in curved graphene sheets, which is directly related to Landau quantization. For the purpose of this study, we develop a new numerical method, based on the quantum lattice Boltzmann method, to solve the Dirac equation on curved manifolds, describing the low-energetic states in strained graphene sheets.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1088/1361-648X/aadecd
- PMID 30179166
- Persistent URL
- https://sonar.ch/global/documents/127594
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