Fermionized parafermions and symmetry-enriched Majorana modes
- Creators
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Chew, Aaron
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Mross, David F.
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Alicea, Jason
Abstract
Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized media, to strictly one-dimensional fermionic systems. In particular, we show that parafermion zero modes in the former setting translate into symmetry-enriched Majorana modes that intertwine with a bulk order parameter—yielding braiding and fusion properties that are impossible in standard Majorana platforms. Fusion characteristics of symmetry-enriched Majorana modes are directly inherited from the associated parafermion setup and can be probed via two kinds of anomalous pumping cycles that we construct. Most notably, our mappings relate ℤ_4 parafermions to conventional electrons with time-reversal symmetry. In this case, one of our pumping protocols entails fairly minimal experimental requirements: Cycling a weakly correlated wire between a trivial phase and time-reversal-invariant topological superconducting state produces an edge magnetization with quadrupled periodicity. Our work highlights new avenues for exploring beyond-Majorana physics in experimentally relevant one-dimensional electronic platforms, including proximitized ferromagnetic chains.
Additional Information
© 2018 American Physical Society. (Received 27 February 2018; revised manuscript received 9 August 2018; published 27 August 2018) We are indebted to D. Aasen, X. Chen, D. Clarke, P. Fendley, and A. Jermyn for illuminating discussions. We gratefully acknowledge support from the National Science Foundation through Grants No. DMR-1341822 and No. DMR-1723367 (A.C. and J.A.); the Army Research Office under Grant Award No. W911NF-17-1-0323 (A.C. and J.A.); the Israel Science Foundation Grant No. 1866/17 (D.F.M.); Grant No. 2016258 from the United States–Israel Binational Science Foundation (BSF); the Dominic Orr Graduate Fellowship (A.C.); the Yunni and Maxine Pao Graduate Fellowship (A.C.); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; and the Walter Burke Institute for Theoretical Physics at Caltech.Attached Files
Published - PhysRevB.98.085143.pdf
Accepted Version - 1802.04809
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Additional details
- Eprint ID
- 89158
- Resolver ID
- CaltechAUTHORS:20180827-094621499
- NSF
- DMR-1341822
- NSF
- DMR-1723367
- Army Research Office (ARO)
- W911NF-17-1-0323
- Israel Science Foundation
- 1866/17
- Binational Science Foundation (USA-Israel)
- 2016258
- Dominic Orr Graduate Fellowship
- Yunni and Maxine Pao Graduate Fellowship
- Institute for Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- GBMF1250
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
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2018-08-27Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics