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Thermal Probes of Phonon-Coupled Kitaev Spin Liquids: From Accurate Extraction of Quantized Edge Transport to Anyon Interferometry

Klocke, Kai and Moore, Joel E. and Alicea, Jason and Halász, Gábor B. (2022) Thermal Probes of Phonon-Coupled Kitaev Spin Liquids: From Accurate Extraction of Quantized Edge Transport to Anyon Interferometry. Physical Review X, 12 (1). Art. no. 011034. ISSN 2160-3308. doi:10.1103/physrevx.12.011034.

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Recent theoretical studies inspired by experiments on the Kitaev magnet α − RuCl₃ highlight the nontrivial impact of phonons on the thermal Hall conductivity of chiral topological phases. Here, we introduce mixed mesoscopic-macroscopic devices that allow refined thermal-transport probes of non-Abelian spin liquids with Ising topological order. These devices feature a quantum-coherent region with quantized or negligible phonon conductance, flanked by macroscopic lobes that facilitate efficient thermalization between chiral Majorana edge modes and bulk phonons. We show that our devices enable (i) accurate determination of the quantized thermal Hall conductivity, (ii) identification of non-Abelian Ising anyons via the temperature dependence of the thermal conductance, and, most interestingly, (iii) single-anyon detection through heat-based anyon interferometry. Analogous results apply broadly to phonon-coupled chiral topological orders.

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Klocke, Kai0000-0002-9580-8509
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2022 The Author(s). 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 20 May 2021; accepted 5 January 2022; published 22 February 2022) We thank Arnab Banerjee, Dima Feldman, Erik Henriksen, Chengyun Hua, Michael Manfra, Alan Tennant, and Zezhu Wei for helpful discussions. This material is based upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center. J. A. additionally acknowledges support from the Army Research Office under Grant No. W911NF17- 1-0323; the National Science Foundation through Grant No. DMR-1723367; 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. J. E. M. acknowledges additional support from a Simons Investigatorship. This manuscript has been authored by UT-Battelle, LLC under Contract No. DE-AC05-00OR22725 with the U.S. Department of Energy. The U.S. Government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for U.S. Government purposes.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC05-00OR22725
Army Research Office (ARO)W911NF17-1-0323
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Simons FoundationUNSPECIFIED
Quantum Science CenterUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20220222-706490000
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113521
Deposited By: George Porter
Deposited On:23 Feb 2022 02:40
Last Modified:23 Feb 2022 02:40

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