Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System

Abstract

Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent driving which couples two Landau levels mimicks an effective tunneling between synthetic layers. The tunneling strength, the effective Zeeman coupling, and two-body interaction matrix elements are tunable by varying the driving frequency and the driving strength. Using infinite density matrix renormalization group (iDMRG) techniques combined with exact diagonalization (ED), we show that the system exhibits a non-abelian bilayer Fibonacci phase at filling fraction $\nu =2/3$. Moreover, at integer filling $\nu =1$, the SQHB exhibits quantum Hall ferromagnetism. Using Hartree-Fock theory and exact diagonalization, we show that excitations of the quantum Hall ferromagnet are topological textures known as skyrmions.

arXiv comment10 pages, 7 figures

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Cited by in corpus (7)

• Strongly-Correlated Electron-Photon Systems
• Synthetic dimensions for topological and quantum phases: Perspective
• Optically induced topological superconductivity via Floquet interaction engineering
• Tracing non-Abelian anyons via impurity particles
• Two-dimensional excitons from twisted light and the fate of the photon's orbital angular momentum
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• Ferromagnetism and Skyrmions in the Hofstadter-Fermi-Hubbard Model