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Order-by-disorder and spiral spin-liquid in frustrated diamond-lattice antiferromagnets

Bergman, Doron and Alicea, Jason and Gull, Emanuel and Trebst, Simon and Balents, Leon (2007) Order-by-disorder and spiral spin-liquid in frustrated diamond-lattice antiferromagnets. Nature Physics, 3 (7). pp. 487-491. ISSN 1745-2473. https://resolver.caltech.edu/CaltechAUTHORS:20200225-123359047

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Abstract

Frustration refers to competition between different interactions that cannot be simultaneously satisfied—a familiar feature in many magnetic solids. Strong frustration leads to highly degenerate ground states and a large suppression of ordering by fluctuations. Key challenges in frustrated magnetism include the characterization of the fluctuating spin-liquid regime and determination of the mechanism of eventual order at lower temperature. Here, we study a model of a diamond-lattice antiferromagnet appropriate for numerous spinel materials. With sufficiently strong frustration, a massive ground-state degeneracy develops amongst spirals whose propagation wavevectors reside on a continuous two-dimensional ‘spiral surface’ in momentum space. We argue that an important ordering mechanism is entropic splitting of the degenerate ground states, an elusive phenomenon called ‘order by disorder’. A broad spiral spin-liquid regime emerges at higher temperatures, where the underlying spiral surface can be directly revealed through spin correlations. We discuss the agreement between these predictions and the well-characterized spinel MnSc₂S₄.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1038/nphys622DOIArticle
https://arxiv.org/abs/cond-mat/0612001arXivDiscussion Paper
https://rdcu.be/b2a2PPublisherFree ReadCube access
ORCID:
AuthorORCID
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2007 Nature Publishing Group. Received 20 November 2006; accepted 20 April 2007; published 21 May 2007. We would like to acknowledge R. Shindou, Z. Wang, C. Henley and M. P. A. Fisher for illuminating discussions, as well as T. Suzuki, M. Muecksch and A. Krimmel for sharing their unpublished results. This work was supported by the Packard Foundation (D.B. and L.B.) and the National Science Foundation through grants DMR-0529399 (J.A.) and DMR04-57440 (D.B. and L.B.). The authors declare no competing financial interests.
Funders:
Funding AgencyGrant Number
David and Lucile Packard FoundationUNSPECIFIED
NSFDMR-0529399
NSFDMR-0457440
Issue or Number:7
Record Number:CaltechAUTHORS:20200225-123359047
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200225-123359047
Official Citation:Bergman, D., Alicea, J., Gull, E. et al. Order-by-disorder and spiral spin-liquid in frustrated diamond-lattice antiferromagnets. Nature Phys 3, 487–491 (2007). https://doi.org/10.1038/nphys622
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101538
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:26 Feb 2020 16:57
Last Modified:09 Mar 2020 13:18

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