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Light-induced fractional quantum hall phases in graphene



Michael Gullans, Areg Ghazaryan, Pouyan Ghaemi, Mohammad Hafezi


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 of graphene and acts as a e ective tunneling term between these states. We study systems with small number of electrons for lling factor 2/3 using exact-diagonalization and demonstrate that, for the case of the lower state being the rst Landau level, tuning the e ective tunneling amplitude results in the transition of the system from a spin-singlet phase to a particle-hole conjugate 1/3 Laughlin phase of the antisymmetric optical dressed states. We nd that this phase transition can be traced to the presence of additional cross interaction terms that arise in the rotating wave approximation. These results pave the way towards the realization of new phases, as well as the control of phase transitions, in graphene quantum Hall systems using optical elds and integrated photonic structures.
Physical Review Letters


graphene, quantum hall, anyons


Gullans, M. , Ghazaryan, A. , Ghaemi, P. and Hafezi, M. (2017), Light-induced fractional quantum hall phases in graphene, Physical Review Letters, [online], (Accessed April 16, 2024)
Created December 15, 2017, Updated September 2, 2022