Schreiber FQH with Islands

An article that we are finalizing at CQTS:

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• Hisham Sati$\phantom{-}$and$\phantom{-}$ Urs Schreiber:

  
  

  Nonabelian Anyons attached to

  Superconducting Islands in FQH Liquids

  download: pdf, arXiv:2602.18748 (7 pages)

Abstract. The idea that topologically protected quantum states, such as anyons, may be attached to super/semiconductor heterostructures has received enormous attention, but experimental signatures in 1D systems remain elusive. Here we revisit theoretical underpinnings of anyons in 2D fractional quantum Hall systems (FQH), of which signatures have been experimentally observed by independent groups. Invoking novel theorems about the Hopfion or $\mathbb{C}P^1$-model understood as flux-quantization in 2-Cohomotopy, we demonstrate a robust prediction for possibly nonabelian anyonic states induced by superconducting islands.

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This is a brief digest, in physics letter form, of some key results from the article:

• Fractional Quantum Hall Anyons via the Algebraic Topology of exotic Flux Quanta