Long Ju: Integer and Fractional Quantum Anomalous Hall Effects in Rhombohedral Graphene

Long Ju

Department of Physics Massachusetts Institute of Technology

"Integer and Fractional Quantum Anomalous Hall Effects in Rhombohedral Graphene"

Abstract: The fractional quantum anomalous Hall effect (FQAHE), the analog of the fractional quantum Hall effect at zero magnetic field, is predicted to exist in topological flat bands under spontaneous time-reversal-symmetry breaking. The demonstration of FQAHE could lead to non-Abelian anyons which form the basis of topological quantum computation. In this talk, I will report the observation of integer and fractional QAH effects in a rhombohedral pentalayer graphene/hBN moiré superlattice. At zero magnetic field, we observed plateaus of quantized Hall resistance Rxy = h/(ve2), at moiré filling factors v = 1, 2/3, 3/5, 4/7, 4/9, 3/7 and 2/5. In addition, we observed Rxy =2h/e2 near v = 1/2 and it varies linearly as the filling factor is tuned—similar to the composite Fermi liquid (CFL) in the half-filled lowest Landau level at high magnetic fields. In addition to FQAHE induced by the moire effect, I will report the observation of integer quantum anomalous Hall effect in pentalayer graphene without a moire effect. This state features a Chern number C=5 and a distinct mechanism from those of magnetic topological insulators and 2D moire superlattice materials. We believe that the spin-orbital-coupling from the neighboring WS2 plays a key role in determining the IQAH ground state. The rich family of FQAH and IQAH states in our highquality graphene provide an ideal platform for exploring charge fractionalization and exotic quasiparticles for topological quantum computation.