Explanation of [Formula: see text] fractional quantum Hall state in bilayer graphene.
The commensurability condition is applied to determine the hierarchy of fractional filling of Landau levels for fractional quantum Hall effect (FQHE) in monolayer and bilayer graphene. Good agreement with experimental data is achieved. The presence of even-denominator filling fractions in the hierarchy of the FQHE in bilayer graphene is explained, including the state at [Formula: see text].
Department Quantum Technologies, Wrocław University of Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland.
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0000-0002-6946-2495
J
Jacak
Department Quantum Technologies, Wrocław University of Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland.
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L
Jacak
 fractional quantum Hall effect hierarchy; bilayer graphene; braid groups; composite fermions; higher Landau levels; monolayer graphene