Parafermions in a multilegged geometry: Towards a scalable parafermionic network

Udit Khanna, Moshe Goldstein, Yuval Gefen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Parafermionic zero modes are non-Abelian excitations which have been predicted to emerge at the boundary of topological phases of matter. Contrary to earlier proposals, here we show that such zero modes may also exist in multilegged star junctions of quantum Hall states. We demonstrate that the quantum states spanning the degenerate parafermionic Hilbert space may be detected and manipulated through protocols employing quantum antidots and fractional edge modes. Such star-shaped setups may be the building blocks of two-dimensional parafermionic networks.

Original languageEnglish
Article numberL161101
JournalPhysical Review B
Issue number16
StatePublished - 15 Apr 2022

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