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.

References in corpus (22)

• The density-matrix renormalization group in the age of matrix product states
• Multicomponent fractional quantum Hall effect in graphene
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Even denominator fractional quantum Hall state in bilayer graphene
• Theory of integer quantum Hall effect in graphene
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Generic Construction of Efficient Matrix Product Operators
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Spontaneous Particle-Hole Symmetry Breaking in the $\nu =5/2$ Fractional Quantum Hall Effect
• SO(5) symmetry in the quantum Hall effect in graphene
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Energetics of Pfaffian-AntiPfaffian Domains
• From Irrational to Non-Unitary: on the Haffnian and Haldane-Rezayi wave functions
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Particle-Hole Symmetry and the Fractional Quantum Hall States at 5/2 Filling Factor

Cited by in corpus (4)

• 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