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Fermionized parafermions and symmetry-enriched Majorana modes

Chew, Aaron and Mross, David F. and Alicea, Jason (2018) Fermionized parafermions and symmetry-enriched Majorana modes. Physical Review B, 98 (8). Art. No. 085143. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180827-094621499

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.98.085143DOIArticle
https://arxiv.org/abs/1802.04809arXivDiscussion Paper
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.
Group:Institute for Quantum Information and Matter, IQIM, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1341822
NSFDMR-1723367
Army Research Office (ARO)W911NF-17-1-0323
Israel Science Foundation1866/17
Binational Science Foundation (USA-Israel)2016258
Dominic Orr Graduate FellowshipUNSPECIFIED
Yunni and Maxine Pao Graduate FellowshipUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20180827-094621499
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180827-094621499
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89158
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:27 Aug 2018 19:46
Last Modified:27 Aug 2018 19:46

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