Speaker
Description
We report experimental measurements of the fractional quantum Hall effect (FQHE) in twisted graphene aligned with hexagonal boron nitride, where the formation of a moiré superlattice and sublattice symmetry breaking gives rise to a rich landscape of correlated electronic phases We report on the FQHE at filling factors ν = k/2 and ν = k/3 with ν > 1, and on the composite fermions at in the ν < 1 lowest landau Level, including ν = 4/5, 5/7 and 2/3. These fractional states can be described with a partons model, in which the electron is broken down into sub-particles each one residing in an integer quantum Hall effect state; partons are fictitious particles that, glued back together, recover the physical electrons. This model captures the observed hierarchy of FQHE states and describes the existence of exotic anyons with Abelian and non-Abelian statistics. Our results reveal the power of combining band structure engineering with strong correlations to stabilize unconventional quantum Hall states, offering new avenues for exploring topological phases of matter.
J. Salvador-Sánchez, A. Pérez-Rodriguez, V. Clericò, O. Zheliuk, U. Zeitler, K. Watanabe, T. Taniguchi, E. Diez, M. Amado and V. Bellani, "Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride", Eur. Phys. J. Plus 139, 979 (2024).