Atypical Fractional Quantum Hall Effect in Graphene at Filling Factor 1/3

Abstract

We study the recently observed graphene fractional quantum Hall state at a filling factor ${\nu }_G=1/3$ using a four-component trial wave function and exact diagonalization calculations. Although it is adiabatically connected to a 1/3 Laughlin state in the upper spin branch, with SU(2) valley-isospin ferromagnetic ordering and a completely filled lower spin branch, it reveals physical properties beyond such a state that is the natural ground state for a large Zeeman effect. Most saliently, it possesses at experimentally relevant values of the Zeeman gap low-energy spin-flip excitations that may be unveiled in inelastic light-scattering experiments.

4 pages, 3 figures; slightly modified published version

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Cited by in corpus (8)

• Multicomponent fractional quantum Hall effect in graphene
• Composite Fermions and Broken Symmetries in Graphene
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Spin and valley ordering of fractional quantum Hall states in monolayer graphene
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Collective excitations of fractional quantum Hall states in monolayer graphene
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene