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

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

2010-05-27

arxiv.org/abs/1005.5121v2

Phys. Rev. Lett. 105, 176802 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures; slightly modified published version

Scientific paper

10.1103/PhysRevLett.105.176802

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.

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