Parafermions in a multilegged geometry: Towards a scalable parafermionic network

Udit Khanna, Moshe Goldstein, Yuval Gefen

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume105
Issue number16
DOIs
StatePublished - 15 Apr 2022

Fingerprint

Dive into the research topics of 'Parafermions in a multilegged geometry: Towards a scalable parafermionic network'. Together they form a unique fingerprint.

Cite this