Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene.

ABSTRACT: Even-denominator fractional quantum Hall states are promising candidates for fault-tolerant quantum computing due to their underlying non-Abelian topological order. However, the topological order of these states remains hotly debated. Here, we report transport measurements on ultra-clean bilayer graphene heterostructures, where we observed four quarter-filled states and their corresponding Levin-Halperin daughter states, constraining their topological order. Moreover, we complete the sequence of half-filled plateaus by detecting states at ν=-32 and ν=12 whose daughters suggest an alternating sequence of non-Abelian orders. This pattern suggests a universal origin supporting their use in identifying topological order at even-denominator fillings, though further confirmation is needed via di

SUBMITTER: Kumar R 

PROVIDER: S-EPMC12328565 | biostudies-literature | 2025 Aug

REPOSITORIES: biostudies-literature