01495nas a2200181 4500008004100000245006100041210006000102260001500162300001100177490000800188520098100196100002001177700001801197700002101215700001901236700002101255856003701276 2017 eng d00aLight-induced fractional quantum Hall phases in graphene0 aLightinduced fractional quantum Hall phases in graphene c2017/12/15 a2474030 v1193 a
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 ν = 1/2 and ν = 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.
1 aGhazaryan, Areg1 aGraß, Tobias1 aGullans, Michael1 aGhaemi, Pouyan1 aHafezi, Mohammad uhttps://arxiv.org/abs/1612.08748