On non-abelian (parafermionic Majorana zero mode) defect anyons associated with superconducting islands inside abelian fractional quantum Hall systems:
Netanel H. Lindner, Erez Berg, Gil Refael, Ady Stern: Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states, Phys. Rev. X 2 (2012) 041002 [doi:10.1103/PhysRevX.2.041002, arXiv:1204.5733]
David J. Clarke, Jason Alicea, Kirill Shtengel: Exotic non-Abelian anyons from conventional fractional quantum Hall states, Nature Communications 4 1348 (2013) [ncomms:2340, arXiv:1204.5479]
Abolhassan Vaezi: Fractional topological superconductor with fractionalized Majorana fermions, Phys. Rev. B 87 (2013) 035132 [doi:10.1103/PhysRevB.87.035132, arXiv:1204.6245]
Roger S. K. Mong, David J. Clarke, Jason Alicea, Netanel H. Lindner, Paul Fendley, Chetan Nayak, Yuval Oreg, Ady Stern, Erez Berg, Kirill Shtengel, Matthew P. A. Fisher: Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure, Phys. Rev. X 4 (2014) 011036 [doi:10.1103/PhysRevX.4.011036, arXiv:1307.4403]
Younghyun Kim, David J. Clarke, Roman M. Lutchyn: Coulomb Blockade in Fractional Topological Superconductors, Phys. Rev. B 96 (2017) 041123 [doi:10.1103/PhysRevB.96.041123, arXiv:1703.00498]
Luiz H. Santos, Taylor L. Hughes: Parafermionic Wires at the Interface of Chiral Topological States, Phys. Rev. Lett. 118 (2019) 136801 [doi:10.1103/PhysRevLett.118.136801]
Luiz H. Santos: Parafermions in Hierarchical Fractional Quantum Hall States, Phys. Rev. Research 2 (2020) 013232 [doi:10.1103/PhysRevResearch.2.013232, arXiv:1906.07188]
Enderalp Yakaboylu, Thomas L. Schmidt: Topologically Charged Vortices at Superconductor-Quantum Hall Interfaces [arXiv:2501.12908]
Gustavo M. Yoshitome, Pedro R. S. Gomes: Non-Abelian Zero Modes in Fractional Quantum Hall-Superconductor Heterostructure [arXiv:2511.15547]
Enderalp Yakaboylu, Thomas L. Schmidt: Fractionally Charged Vortices at Superconductor-Chern Insulator Interfaces [arXiv:2501.12908]
Experimental realization:
Last revised on March 30, 2026 at 10:05:12. See the history of this page for a list of all contributions to it.