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

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.

4 pages, 2 figures

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Cited by in corpus (3)

• Many-body Chern number without integration
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Adiabatic Continuity of the Spinful Quantum Hall States