nLab superconducting islands in FQH systems -- references

Superconducting islands in FQH systems

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:

• Önder Gül et al.: Andreev reflection in the fractional quantum Hall state, Physical Review X 12 2 (2022) 021057 [doi:10.1103/PhysRevX.12.021057, arXiv:2009.07836]

Related quantum Hall/superconductor effects:

• Yuriko Baba, Alfredo Levy Yeyati, Pablo Burset: Emergent topology by Landau level mixing in quantum Hall-superconductor nanostructures, Phys. Rev. Lett. 136 (2026) 176601 [doi:10.1103/v68s-tgxs, arXiv:2507.14074]