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arXiv · 1803.09978

Fractional Quantum Hall Effect in n=0 Landau Band of Graphene with Chern Number Matrix

Koji Kudo·Yasuhiro Hatsugai
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Abstract

Fully taking into account of the honeycomb lattice structure, fractional quantum Hall states of graphene are considered by a pseudopotential projected into the n = 0 Landau band. By using a chirality as an internal degree of freedom, the Chern number matrices are defined and evaluated numerically. Quantum phase transition induced by changing a range of the interaction is demonstrated which is associated with chirality ferromagnetism. The chirality-unpolarized ground state is consistent with the Halperin 331 state of the bilayer quantum Hall system.

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Koji Kudo, Yasuhiro Hatsugai. 2018-03-27. Fractional Quantum Hall Effect in n=0 Landau Band of Graphene with Chern Number Matrix. https://doi.org/10.7566/jpsj.87.063701

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