https://doi.org/10.1140/epjp/s13360-024-05771-2
Regular Article
Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride
1
Nanotechnology Group, Department of Fundamental Physics, University of Salamanca, 37008, Salamanca, Spain
2
High Field Magnet Laboratory (HFML-EMFL), Radboud University, 6525 ED, Nijmegen, The Netherlands
3
Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, 305-0044, Tsukuba, Japan
4
International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, 305-0044, Tsukuba, Japan
5
Department of Physics, University of Pavia, 27100, Pavia, Italy
Received:
13
August
2024
Accepted:
23
October
2024
Published online:
6
November
2024
In a twisted graphene on hexagonal boron nitride, the presence of a gap and the breaking of the symmetry between carbon sublattices lead to multicomponent fractional quantum Hall effect (FQHE) due to the electrons’ correlation. Here we report on the FQHE at filling factors ν = k/2 and ν = k/3 with ν > 1, and on the composite fermions at in the ν < 1 lowest Landau level ν = 4/5, 5/7 and 2/3. These fractional states can be described with a partons model, in which the electron is broken down into sub-particles each one residing in an integer quantum Hall effect state; partons are fictitious particles that, glued back together, recover the physical electrons. The parton states host exotic anyons that could potentially form building blocks of a fault-tolerant topological quantum computer.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
