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Engineering quantum Hall phases in a synthetic bilayer graphene system

Cian, Z. P ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.102.085430
  3. Publisher: American Physical Society , 2020
  4. Abstract:
  5. 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 Ghazaryan et al. [Phys. Rev. Lett. 119, 247403 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.247403]. The coherent driving which couples two Landau levels mimics 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 techniques combined with exact diagonalization, we show that the system exhibits a non-Abelian bilayer Fibonacci phase at filling fraction ν=23. Moreover, at integer filling ν=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. © 2020 American Physical Society
  6. Keywords:
  7. Ferromagnetism ; Graphene ; Quantum Hall effect ; Statistical mechanics ; Textures ; Density matrix renormalization group ; Driving frequencies ; Exact diagonalization ; Hartree-Fock theory ; Quantum Hall bilayers ; Quantum Hall phasis ; Quantum Hall regime ; Two-body interactions ; Superconducting materials
  8. Source: Physical Review B ; Volume 102, Issue 8 , 2020
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.085430