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Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials

Aasen, David and Mong, Roger S. K. and Hunt, Benjamin M. and Mandrus, David and Alicea, Jason (2020) Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials. Physical Review X, 10 (3). Art. No. 031014. ISSN 2160-3308. https://resolver.caltech.edu/CaltechAUTHORS:20200225-103848261

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Abstract

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin-liquid phase in the Kitaev material α−RuCl₃. Although the platform is a good Mott insulator, we propose experiments that electrically probe the spin liquid’s hallmark chiral Majorana edge state and bulk anyons, including their exotic exchange statistics. We specifically introduce circuits that exploit interfaces between electrically active systems and Kitaev materials to “perfectly” convert electrons from the former into emergent fermions in the latter—thereby enabling variations of transport probes invented for topological superconductors and fractional quantum-Hall states. Along the way, we resolve puzzles in the literature concerning interacting Majorana fermions, and also develop an anyon-interferometry framework that incorporates nontrivial energy-partitioning effects. Our results illuminate a partial pathway toward topological quantum computation with Kitaev materials.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevX.10.031014DOIArticle
https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.031014PublisherArticle
https://arxiv.org/abs/2002.01944arXivDiscussion Paper
ORCID:
AuthorORCID
Aasen, David0000-0002-6552-488X
Hunt, Benjamin M.0000-0002-5008-8042
Mandrus, David0000-0003-3616-7104
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 5 March 2020; revised 12 May 2020; accepted 19 May 2020; published 17 July 2020. It is a pleasure to thank Chao-Ming Jian, Stevan Nadj-Perge, Achim Rosch, Ady Stern, and especially Paul Fendley for stimulating conversations. This work is supported by a postdoctoral fellowship from the Gordon and Betty Moore Foundation, under the EPiQS initiative, Grant No. GBMF4304; the Army Research Office under Grant No. W911NF-17-1-0323; the National Science Foundation through Grants No. DMR-1723367 (J. A.) and No. DMR-1848336 (R. M.); the Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; the Walter Burke Institute for Theoretical Physics at Caltech, and the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant No. GBMF8682 to J. A. B. M. H. acknowledges support from the Department of Energy under the Early Career program (Grant No. DE-SC0018115). D. M. acknowledges support from the Gordon and Betty Moore Foundation EPiQS Initiative, Grant No. GBMF9069. Finally, we acknowledge the 2018 Erice Conference on Majorana Fermions and Topological Materials Science, where this work was initiated.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationGBMF4304
Army Research Office (ARO)W911NF-17-1-0323
NSFDMR-1723367
NSFDMR-1848336
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Gordon and Betty Moore FoundationGBMF8682
Department of Energy (DOE)DE-SC0018115
Gordon and Betty Moore FoundationGBMF9069
Issue or Number:3
Record Number:CaltechAUTHORS:20200225-103848261
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200225-103848261
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101532
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Feb 2020 18:49
Last Modified:17 Jul 2020 16:48

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