Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene

Abstract

Magnetic fields quench the kinetic energy of two dimensional electrons, confining them to highly degenerate Landau levels. In the absence of disorder, the ground state at partial Landau level filling is determined only by Coulomb interactions, leading to a variety of correlation-driven phenomena. Here, we realize a quantum Hall analog of the Neél-to-valence bond solid transition within the spin- and sublattice- degenerate monolayer graphene zero energy Landau level by experimentally controlling substrate-induced sublattice symmetry breaking. The transition is marked by unusual isospin transitions in odd denominator fractional quantum Hall states for filling factors $\nu$ near charge neutrality, and the unexpected appearance of incompressible even denominator fractional quantum Hall states at $\nu =\pm 1/2$ and $\pm 1/4$ associated with pairing between composite fermions on different carbon sublattices.

arXiv commentHigh resolution figures and additional information available at afylab.com

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• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Absence of Edge States in The Valley Chern Insulator in Moiré Graphene
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