Ghazaryan Areg, Graß Tobias, Gullans Michael J, Ghaemi Pouyan, Hafezi Mohammad
Department of Physics, City College, City University of New York, New York, New York 10031, USA.
Joint Quantum Institute, NIST and University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2017 Dec 15;119(24):247403. doi: 10.1103/PhysRevLett.119.247403.
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 nonzero relative angular momentum can become dominant, resembling a hollow-core pseudopotential. 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.
我们展示了如何通过光学驱动系统在单层石墨烯中实现双组分分数量子霍尔相。将激光调谐到两个朗道能级之间的共振，从而在这两个合成层之间产生有效的隧穿。值得注意的是，由于这种耦合，非零相对角动量下的层间相互作用可以占主导地位，类似于空心赝势。在弱隧穿 regime 中，这种相互作用有利于单重态的形成，正如我们通过数值对角化明确表明的那样，在填充因子 ν = 1/2 和 ν = 2/3 时。我们讨论了可能的候选相，包括霍尔丹 - 雷扎伊相、层间普法夫相和斐波那契相。这表明我们的方法可能为在石墨烯量子霍尔系统中利用光场和集成光子结构实现非阿贝尔相以及控制拓扑相变铺平道路。
