2016/12/31 by Areg Ghazaryan, Tobias Graß, Michael J. Gullans +2 · 23 citations
Computer Science · Materials Science · Physics and Astronomy · #Condensed matter physics #Electron #Fibonacci number #Graphene #Graphene research and applications #Landau quantization #Pfaffian #Phase (matter) #Phase transition #Physics #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum tunnelling #Realization (probability) #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.119.247403
published in Physical Review Letters 119(24), 247403 (American Physical Society) · 5 pages, 3 figures + supplementary material (15 pages)
arxiv created 2017/09/15 · openalex publication_date 2017/12/15 · arxiv updated 2017/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.