Floquet Fractional Chern Insulator in Doped Graphene

Abstract

Fractional Chern insulators are theoretically predicted states of electronic matter with emergent topological order. They exhibit the same universal properties as the fractional quantum Hall effect, but dispose of the need to apply a strong magnetic field. However, despite intense theoretical work, an experimental realization for these exotic states of matter is still lacking. Here we show that doped graphene turns into a fractional Chern insulator, when irradiated with high-intensity circularly polarized light. We derive the effective steady state band structure of light-driven graphene using Floquet theory and subsequently study the interacting system with exact numerical diagonalization. The fractional Chern insulator state equivalent to the 1/3 Laughlin state appears at 7/12 total filling of the honeycomb lattice (1/6 filling of the upper band). The state also features spontaneous ferromagnetism and is thus an example of the spontaneous breaking of a continuous symmetry along with a topological phase transition.

10 pages

References in corpus (14)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Photovoltaic Hall effect in graphene
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Topological Flat Band Models and Fractional Chern Insulators
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Coherent control of dressed matter waves
• Artificial graphene with tunable interactions
• Graphene Transport at High Carrier Densities using a Polymer Electrolyte Gate
• Enhancing the stability of a fractional Chern insulator against competing phases
• Elementary formula for the Hall conductivity of interacting systems

Cited by in corpus (209)

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