Light-induced fractional quantum Hall phases in graphene

Understand

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 $\nu=2/3$.