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arxiv: 2407.05867 · v3 · pith:EBK66UU7new · submitted 2024-07-08 · ❄️ cond-mat.str-el · cond-mat.mtrl-sci

Spin-liquid-like spin dynamics in the frustrated antiferromagnet TbBO3

J. Khatua , D. Tay , T. Shiroka , M. Pregelj , K. Kargeti , S. K. Panda , G. B. G. Stenning , P. Manuel
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M. D. Le D. T. Adroja P. Khuntia
This is my paper

Pith reviewed 2026-05-23 23:03 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mtrl-sci
keywords spin dynamicsfrustrated antiferromagnettriangular latticemuon spin relaxationneutron scatteringspin liquidTbBO3crystal electric field
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The pith

TbBO3 maintains persistent spin dynamics down to 16 mK with no long-range order or freezing on its frustrated triangular lattice.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that sizable antiferromagnetic exchange between Tb3+ moments on a distorted triangular lattice fails to produce magnetic order or spin freezing at the lowest accessible temperatures. Thermodynamic measurements and muon-spin relaxation instead detect ongoing fluctuations that continue without interruption, consistent with short-range two-dimensional antiferromagnetic correlations seen in neutron scattering. A scaling relation between the muon relaxation rate and a characteristic energy scale places TbBO3 on the same line as other spin-liquid candidates, indicating that the same mechanism governs the dynamics across these materials. The behavior is linked to the mixing of crystal-electric-field levels into the ground state together with the geometric frustration and spin-orbit coupling inherent to the non-Kramers Tb ion.

Core claim

Despite dominant antiferromagnetic interactions, TbBO3 shows no signatures of long-range magnetic order or spin freezing in muon-spin relaxation down to 16 mK, corroborated by specific-heat and ac-susceptibility data to 45 mK. Neutron scattering instead reveals broad magnetic diffuse intensity at low temperatures, confirming short-range two-dimensional antiferromagnetic correlations. The muon relaxation rate scales with the characteristic energy scale in the same way observed for multiple other spin-liquid candidates, supporting the presence of a common underlying mechanism of persistent, spin-liquid-like fluctuations driven by frustration, spin-orbit coupling, and admixture of excited CEF,

What carries the argument

Scaling of the muon relaxation rate against characteristic energy scale across spin-liquid candidates, which places TbBO3 on the same trend and indicates a shared dynamical mechanism.

If this is right

  • No long-range order or spin freezing occurs despite sizable antiferromagnetic exchange interactions.
  • Persistent spin dynamics remain active to at least 16 mK and are visible in both local and bulk probes.
  • Broad diffuse scattering appears in elastic and inelastic neutron channels at Q approximately 1.03 inverse angstroms, indicating short-range two-dimensional correlations.
  • The relaxation-rate scaling matches the behavior reported for other spin-liquid candidates, pointing to a shared dynamical origin.
  • The fluctuations arise from two-dimensional antiferromagnetic short-range order intertwined with crystal-electric-field admixture and spin-orbit coupling.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar persistent dynamics may appear in other non-Kramers rare-earth triangular lattices once frustration and CEF mixing are both present.
  • Pressure or chemical substitution that tunes the relative strength of exchange versus dipolar terms could drive the system across a boundary into conventional order.
  • The scaling relation offers a practical diagnostic that can be applied to screen additional candidate materials for the same class of dynamics.

Load-bearing premise

The scaling collapse of muon relaxation rates across different materials truly reflects one common mechanism rather than an accidental similarity in the measured quantities.

What would settle it

Detection of sharp magnetic Bragg peaks or a clear freezing transition in TbBO3 at any temperature below 16 mK in either neutron scattering or muon relaxation would contradict the claim of persistent dynamics without order.

Figures

Figures reproduced from arXiv: 2407.05867 by D. T. Adroja, D. Tay, G. B. G. Stenning, J. Khatua, K. Kargeti, M. D. Le, M. Pregelj, P. Khuntia, P. Manuel, S. K. Panda, T. Shiroka.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (a) Frequency-swept [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a-d) Temperature evolution of the inelastic neutron scat [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
read the original abstract

The synergistic interplay between spin correlations, spin-orbit coupling, and competing exchange interactions provides a promising route to realize exotic quantum states with nontrivial excitations in rare-earth based frustrated magnets. Here, by using thermodynamic and local-probe measurements down to 16 mK, we demonstrate the exotic magnetism and spin dynamics in the distorted triangular lattice TbBO3. Thermodynamic experiments reveal the presence of dominant antiferromagnetic exchange and subdominant dipolar interactions. Despite sizable antiferromagnetic exchange interactions between the Tb3+ moments, muon-spin relaxation experiment does not detect any signatures of long-range magnetic order or spin-freezing down to 16 mK, corroborating the specific heat and ac magnetic susceptibility down to 45 mK that suggests a persistent spin dynamics in this frustrated triangular lattice. The scaling of muon relaxation rate as a function of the characteristic energy scale for several spin-liquid candidates, including TbBO3, demonstrates that a common underlying mechanism is at play. The persistent dynamics in this frustrated triangular lattice antiferromagnet is reminiscent of a universal spin-liquid-like spin fluctuations, here attributed to dominant two dimensional (2D) antiferromagnetic short-range spin correlations, confirmed by the presence of a broad magnetic diffuse scattering in the elastic and low-energy inelastic neutron scattering channels at Q ~ 1.03 Ang**$^{-1}$** at low temperatures. Our results demonstrate that non-Kramers ion based triangular lattice hosts spin-liquid-like dynamics of local moments arising from the admixture of excited crystal electric field states into the ground state and intertwining of frustration and spin-orbit interaction.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript reports thermodynamic, muSR, and neutron scattering measurements on the distorted triangular-lattice antiferromagnet TbBO3. It finds dominant antiferromagnetic exchange with subdominant dipolar interactions, yet no long-range order or spin freezing signatures down to 16 mK in muSR (corroborated by specific heat and ac susceptibility to 45 mK), persistent spin dynamics, and broad diffuse magnetic scattering at Q ≈ 1.03 Å^{-1} indicating 2D short-range correlations. A scaling plot of muon relaxation rate versus characteristic energy scale across several spin-liquid candidates, including TbBO3, is presented as evidence for a common underlying mechanism, with the behavior attributed to admixture of excited CEF states into the non-Kramers ground state together with frustration and spin-orbit coupling.

Significance. If the central experimental observations hold, the work adds a non-Kramers triangular-lattice example to the set of rare-earth frustrated magnets that exhibit persistent low-temperature dynamics without conventional ordering, supported by direct local-probe and scattering data. The scaling relation, if placed on a firmer quantitative footing, could strengthen the case for universality among spin-liquid candidates.

major comments (1)
  1. [Abstract / scaling discussion] The scaling analysis (abstract and associated figure) asserts that the muon relaxation rate versus characteristic energy scale 'demonstrates that a common underlying mechanism is at play' for TbBO3 and other spin-liquid candidates. The comparison is presented qualitatively without reported uncertainties on the data points, goodness-of-fit metrics, or statistical assessment of the collapse; this weakens the support for the universality claim that underpins the 'spin-liquid-like' interpretation.
minor comments (2)
  1. [Neutron scattering results] Notation for the wave-vector in the neutron scattering section should be standardized (e.g., consistent use of Å^{-1} with proper superscript formatting).
  2. [Thermodynamic measurements] The manuscript would benefit from explicit tabulation of the fitted exchange and dipolar interaction strengths extracted from the thermodynamic data, including their uncertainties.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their positive assessment of our work and for the constructive comment regarding the scaling analysis. We address the point below and have prepared revisions accordingly.

read point-by-point responses

  1. Referee: The scaling analysis (abstract and associated figure) asserts that the muon relaxation rate versus characteristic energy scale 'demonstrates that a common underlying mechanism is at play' for TbBO3 and other spin-liquid candidates. The comparison is presented qualitatively without reported uncertainties on the data points, goodness-of-fit metrics, or statistical assessment of the collapse; this weakens the support for the universality claim that underpins the 'spin-liquid-like' interpretation.

    Authors: We agree that the scaling plot is presented qualitatively and lacks explicit uncertainties or statistical metrics such as goodness-of-fit. The data are compiled from multiple literature sources with heterogeneous reporting standards, which precludes a rigorous quantitative fit. To address this concern, we will revise the manuscript by adding available error bars to the data points in the figure (where reported in the source references) and by modifying the text to describe the collapse as visual evidence of a common trend rather than definitive proof of universality. This change improves transparency while preserving the intended interpretation based on the observed alignment of TbBO3 with other candidates. revision: yes

Circularity Check

0 steps flagged

No significant circularity; experimental observations only

full rationale

The paper's central claims rest on direct experimental measurements (muSR down to 16 mK showing no LRO or freezing, specific heat and ac susceptibility to 45 mK, diffuse neutron scattering at Q ~ 1.03 Å^{-1}). No derivation chain, equations, fitted parameters renamed as predictions, or self-citation load-bearing steps are present. The scaling comparison of muon relaxation rates across spin-liquid candidates is an empirical observation, not a reduction to inputs by construction. The work is self-contained against external benchmarks with no internal circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Experimental paper; central claim rests on standard interpretation of muon relaxation, neutron diffuse scattering, and thermodynamic data rather than new postulates or fitted parameters.

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  1. Topological spin freezing in frustrated quantum materials

    cond-mat.str-el 2026-05 unverdicted novelty 2.0

    Frustrated quantum materials show topological spin-glass behavior with short-range correlations and low-energy excitations, unified by hydrodynamic spin modes and spin-jam states in a framework that bridges experiment...

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