Fractional quantum Hall effect in suspended graphene: Transport coefficients and electron interaction strength
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Abanin-2010-Fractional quantum H.pdf
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Author(s)
Levitov, Leonid
Abanin, Dmitry A.
Skachko, I.
Du, X.
Andrei, E. Y.
Date Issued
March 2010
Journal
Physical Review B
Publisher
American Physical Society
Citation
Abanin, D. A. et al. “Fractional quantum Hall effect in suspended graphene: Transport coefficients and electron interaction strength.” Physical Review B 81.11 (2010): 115410. © 2010 The American Physical Society.
Version
Final published version
Abstract
Recently, fractional-quantized Hall effect was observed in suspended graphene (SG), a free-standing monolayer of carbon, where it was found to persist up to T=10 K. The best results in those experiments were obtained on micron-size flakes, on which only two-terminal transport measurements could be performed. Here we address the problem of extracting transport coefficients of a fractional quantum Hall state from the two-terminal conductance. We develop a general method, based on the conformal invariance of two-dimensional magnetotransport, and employ it to analyze the measurements on SG. From the temperature dependence of longitudinal conductivity, extracted from the measured two-terminal conductance, we estimate the energy gap of quasiparticle excitations in the fractional-quantized ν=1/3 state. The gap is found to be significantly larger than in GaAs-based structures, signaling much stronger electron interactions in suspended graphene. Our approach provides a tool for the studies of quantum transport in suspended graphene and other nanoscale systems.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.81.115410
