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Finney J, Sharpe AL, Fox EJ, Hsueh CL, Parker DE, Yankowitz M, Chen S, Watanabe K, Taniguchi T, Dean CR, Vishwanath A, Kastner MA, Goldhaber-Gordon D. Unusual magnetotransport in twisted bilayer graphene. Proc Natl Acad Sci U S A 2022; 119:e2118482119. [PMID: 35412918 PMCID: PMC9169859 DOI: 10.1073/pnas.2118482119] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2021] [Accepted: 03/15/2022] [Indexed: 12/03/2022] Open
Abstract
SignificanceWhen two sheets of graphene are twisted to the magic angle of 1.1∘, the resulting flat moiré bands can host exotic correlated electronic states such as superconductivity and ferromagnetism. Here, we show transport properties of a twisted bilayer graphene device at 1.38∘, far enough above the magic angle that we do not expect exotic correlated states. Instead, we see several unusual behaviors in the device's resistivity upon tuning both charge carrier density and perpendicular magnetic field. We can reproduce these behaviors with a surprisingly simple model based on Hofstadter's butterfly. These results shed light on the underlying properties of twisted bilayer graphene.
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Affiliation(s)
- Joe Finney
- Department of Physics, Stanford University, Stanford, CA 94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
| | - Aaron L. Sharpe
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Applied Physics, Stanford University, Stanford, CA 94305
| | - Eli J. Fox
- Department of Physics, Stanford University, Stanford, CA 94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
| | - Connie L. Hsueh
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Applied Physics, Stanford University, Stanford, CA 94305
| | | | - Matthew Yankowitz
- Department of Physics, University of Washington, Seattle, WA 98195
- Department of Materials Science and Engineering, University of Washington, Seattle, WA 98195
| | - Shaowen Chen
- Department of Physics, Harvard University, Cambridge, MA 02138
- Department of Physics, Columbia University, New York, NY 10027
- Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027
| | - Kenji Watanabe
- Research Center for Functional Materials, National Institute for Materials Science, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- International Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba 305-0044, Japan
| | - Cory R. Dean
- Department of Physics, Columbia University, New York, NY 10027
| | | | - M. A. Kastner
- Department of Physics, Stanford University, Stanford, CA 94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139
| | - David Goldhaber-Gordon
- Department of Physics, Stanford University, Stanford, CA 94305
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025
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Oh GY, Lee MH. Energy spectrum of two-dimensional tight-binding electrons in a spatially varying magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:1225-1230. [PMID: 9983579 DOI: 10.1103/physrevb.53.1225] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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