Pulling Order Back from the Brink of Disorder: Observation of a Nodal-Line Spin Liquid and Fluctuation Stabilized Order in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="no
Competing interactions in frustrated magnets can give rise to highly degenerate ground states from which correlated liquidlike states of matter often emerge. The scaling of this degeneracy influences the ultimate ground state, with extensive degeneracies potentially yielding quantum spin liquids, while subextensive or smaller degeneracies yield static orders. A long-standing problem is to understand how ordered states precipitate from this degenerate manifold and what echoes of the degeneracy survive ordering. Here, we use neutron scattering to experimentally demonstrate a new “nodal-line” spin liquid, where spins collectively fluctuate within a subextensive manifold spanning one-dimensional lines in reciprocal space. Realized in the spin-orbit-coupled, face-centered-cubic iridate <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msub><a:mi mathvariant="normal">K</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi>IrCl</a:mi><a:mn>6</a:mn></a:msub></a:math>, we show that the subextensive degeneracy is robust, but remains susceptible to fluctuations or longer-range interactions which cooperate to select a magnetic order at low temperatures. Proximity to the nodal-line spin liquid influences the ordered state, enhancing the effects of quantum fluctuations that in turn act to stabilize the sublattice magnetization through the self-consistent opening of a large spin-wave gap. Our results demonstrate how quantum fluctuations can act counterintuitively in frustrated materials: Even in a case where fluctuations are ineffective at selecting an ordered state from a degenerate manifold, at the brink of the nodal spin liquid, they can act to protect the ordered state and dictate its low-energy physics.
Authors
- J. A. Rodriguez‐Rivera (ORCID: https://orcid.org/0000-0002-8633-8314)
- Kemp W. Plumb (ORCID: https://orcid.org/0000-0001-9923-9190)
- Masaaki Matsuda (ORCID: https://orcid.org/0000-0003-2209-9526)
- A. Podlesnyak (ORCID: https://orcid.org/0000-0001-9366-6319)
- Jeffrey G. Rau (ORCID: https://orcid.org/0000-0002-5961-0300)
- A. de la Torre (ORCID: https://orcid.org/0000-0002-6751-8205)
- A. A. Aczel (ORCID: https://orcid.org/0000-0003-1964-1943)
- Philip J. Ryan (ORCID: https://orcid.org/0000-0001-5247-349X)
- Jong‐Woo Kim (ORCID: https://orcid.org/0000-0001-9641-2947)
- Wei Tian (ORCID: https://orcid.org/0000-0001-7735-3187)
- Qiaochu Wang (ORCID: https://orcid.org/0000-0002-6694-187X)
Institutions
- Argonne National Laboratory (US)
- Oak Ridge National Laboratory (US)
- John Brown University (US)
- NIST Center for Neutron Research (US)
- University of Maryland, College Park (US)
- University of Windsor (CA)
Publication Details
- Journal
- Physical Review X
- Published
- 2025-04-21
- DOI
- https://doi.org/10.1103/physrevx.15.021021
- Citations
- 3
- Primary Topic
- Advanced Condensed Matter Physics
- Type
- article
- Field-Weighted Citation Impact
- 3.77
Funders
- National Science Foundation
- U.S. Department of Energy
- Brown University
- University of Windsor
- Alliance de recherche numérique du Canada
- National Institute of Standards and Technology
- Office of Science
- Natural Sciences and Engineering Research Council of Canada
- Division of Materials Research
- Basic Energy Sciences
- Argonne National Laboratory
- Oak Ridge National Laboratory