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 language | English |
|---|---|
| Article number | L161101 |
| Journal | Physical Review B |
| Volume | 105 |
| Issue number | 16 |
| DOIs | |
| State | Published - 15 Apr 2022 |
Bibliographical note
Publisher Copyright:© 2022 American Physical Society.
Funding
Acknowledgments. We acknowledge useful discussions with Kyrylo Snizhko. U.K. was supported by the Raymond and Beverly Sackler Faculty of Exact Sciences at Tel Aviv University and by the Raymond and Beverly Sackler Center for Computational Molecular and Material Science. M.G. was supported by the US-Israel Binational Science Foundation (Grant No. 2016224). Y.G. was supported by CRC 183 (project C01), the Minerva Foundation, DFG Grants No. RO 2247/11-1 and No. MI 658/10-1, the German Israeli Foundation (Grant No. I-118-303.1-2018), the Helmholtz International Fellow Award, and by the Italia-Israel QUANTRA grant.
| Funders | Funder number |
|---|---|
| German Israeli Foundation | I-118-303.1-2018 |
| Minerva Foundation | |
| Deutsche Forschungsgemeinschaft | RO 2247/11-1, MI 658/10-1 |
| United States-Israel Binational Science Foundation | 2016224, CRC 183 |
| Tel Aviv University |