Two-component parton fractional quantum Hall state in graphene

Abstract

We study the $\nu =\pm 1/2$ fractional quantum Hall states in graphene observed by Zibrov et al. [Nat. Phys. 14, 930 (2018)]. The parton construction is employed to provide a valley unpolarized trial wave function for these states. The lattice scale valley anisotropic terms in the Hamiltonian soften the repulsion between electrons in different valleys to favor the valley unpolarized state. The validity of our proposal is corroborated by numerical calculations.

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• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene