Light-induced fractional quantum Hall phases in graphene

Abstract

We show how to realize two-component fractional quantum Hall phases in monolayer graphene by optically driving the system. A laser is tuned into resonance between two Landau levels, giving rise to an effective tunneling between these two synthetic layers. Remarkably, because of this coupling, the interlayer interaction at non-zero relative angular momentum can become dominant, resembling a hollow-core pseudo-potential. In the weak tunneling regime, this interaction favors the formation of singlet states, as we explicitly show by numerical diagonalization, at fillings $\nu =1/2$ and $\nu =2/3$. We discuss possible candidate phases, including the Haldane-Rezayi phase, the interlayer Pfaffian phase, and a Fibonacci phase. This demonstrates that our method may pave the way towards the realization of non-Abelian phases, as well as the control of topological phase transitions, in graphene quantum Hall systems using optical fields and integrated photonic structures.

5 pages, 3 figures + supplementary material (15 pages)

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Cited by in corpus (16)

• Nonthermal pathways to ultrafast control in quantum materials
• Strongly-Correlated Electron-Photon Systems
• Roadmap for Photonics with 2D Materials
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Synthetic dimensions for topological and quantum phases: Perspective
• Quantized Rabi Oscillations and Circular Dichroism in Quantum Hall Systems
• Optically induced topological superconductivity via Floquet interaction engineering
• Tracing non-Abelian anyons via impurity particles
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Optical control over bulk excitations in fractional quantum Hall systems
• Electronic Floquet Liquid Crystals
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• PH Pfaffian intra and inter correlations in the quantum Hall bilayer
• Anyon-trions in atomically thin semiconductor heterostructures