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REVIEW 4 major objections 6 minor 28 references

Magnetic excitations in the 1/3 plateau state in InCu$_3$(OH)$_6$Cl$_3$

T0 review · 4 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read NMR reveals a gapped magnetic excitation spectrum in the 1/3 plateau state of InCu3(OH)6Cl3.

desk verdict Solid NMR evidence for a gapped 1/3 plateau at 12.7 T; the linear field dependence of the gap is a plausible but under-supported two-parameter fit from one field sweep. read the letter →

arxiv 2506.05645 v1 pith:LXDQLMKF submitted 2025-06-06 cond-mat.str-el cond-mat.mtrl-sci

Moyu Kato , Hiroyuki K. Yoshida , R. Kumar , Yoshihiko Ihara This is my paper
classification cond-mat.str-elcond-mat.mtrl-sci
keywords kagomeantiferromagnet1/3magnetizationplateaunuclearmagneticresonancespin-latticerelaxationspingapfrustratedmagnetismInCu3(OH)6Cl3
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper studies a copper mineral whose kagome layers host spin-1/2 moments and whose magnetization shows a plateau at one-third of full saturation between 7 and 14 T. The authors ask whether this 1/3 plateau state has an energy gap in its magnetic excitations, and they answer yes by measuring the 35Cl nuclear spin-lattice relaxation rate. At 12.7 T, 1/T1 falls exponentially below 10 K with a gap of about 11 K, and at 1.5 K it falls exponentially with field, yielding the field-dependent gap Δ(H)=gμB(μ0H−4.5 T). A sympathetic reader would care because the field dependence of this gap constrains which microscopic mechanism stabilizes the 1/3 plateau in kagome antiferromagnets.

What carries the argument

The nuclear spin-lattice relaxation rate 1/T1 measured on the 35Cl nuclei at the Cl-m sites carries the argument: it probes low-energy magnetic fluctuations at the kagome plane. An exponential drop of 1/T1 with decreasing temperature at fixed field, and with increasing field at fixed temperature, is the signature of an activation gap, and the fitting form 1/T1 = C exp(−Δ/kBT) converts the measured rates into a gap size. The field offset in Δ(H)=gμB(μ0H−4.5 T) is what lets the authors locate the gap's onset near the plateau boundary rather than at zero field.

What would settle it

A single-crystal 35Cl NMR experiment below 2 K that resolves the Cl-m and Cl-T sites would settle the claim: if the Cl-m component separates cleanly and still shows a gapless power-law 1/T1, or if inelastic neutron scattering finds gapless excitations inside the plateau, then the reported 11 K gap and its linear field growth would not describe the intrinsic state.

Watch

Extended reading notes

Core claim

The central claim is that the 1/3 magnetization plateau state of InCu3(OH)6Cl3 is gapped, not gapless. From the temperature dependence of 35Cl 1/T1 at 12.7 T, the authors extract Δ/kB = 11 K by fitting 1/T1 = C exp(−Δ/kBT), and from the field dependence at 1.5 K they find that the gap is zero near the plateau onset and grows linearly with field, Δ(H)=gμB(μ0H−4.5 T) with g=2.17. The same parameters describe both data sets, so the paper claims that a finite spin gap opens at the boundary of the 1/3 plateau and that the low-energy excitations behave as conventional Zeeman-shifted single magnons rather than multi-magnon bound states.

Load-bearing premise

The paper assumes that the relaxation rate measured on the main 35Cl peak reflects the intrinsic spin excitations of the kagome planes, even though it notes that the low-temperature powder spectrum cannot be assigned site-by-site and that the recovery curves deviate from the single-T1 theoretical form.

Editorial extensions

If this is right

  • If the gap opens at the plateau onset, the 1/3 plateau is a quantum phase with protected excitations rather than a classical freezing of moments.
  • The linear field growth with g=2.17 identifies the lowest excitations as single-spin Zeeman modes, consistent with a magnon-like picture of the plateau state.
  • The gap of about 11 K at 12.7 T is smaller than the single-spin Zeeman energy of roughly 17 K, so the plateau is not stabilized by a trivial spin-flip gap.
  • Because InCu3(OH)6Cl3 reaches full saturation at 26 T, the same NMR method can in principle map the gap through the entire plateau and into the saturated state.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A single-crystal 35Cl NMR study that resolves the Cl-m and Cl-T sites at low temperature could test whether the gap is intrinsic to the kagome planes or influenced by the Cl-T sites and orphan spins.
  • The 4.5 T field offset suggests an interaction-driven stabilization of the plateau; comparing the measured Δ(H) with tensor-network or density-matrix-renormalization-group calculations of the kagome model could identify which coupling terms produce this offset.
  • If the recovery curve at low temperature is multi-component, the single-T1 fit may mix a gapped intrinsic signal with a weakly relaxing impurity contribution, so a lower-temperature measurement that resolves components could find a gapless tail.
  • The same 1/T1 method could be applied to other kapellasite-type kagome materials with different exchange couplings to see whether the gap-onset field always tracks the plateau boundary.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 6 minor

Summary. The manuscript reports 35Cl NMR measurements of the spin-lattice relaxation rate 1/T1 in the kagome antiferromagnet InCu3(OH)6Cl3, focusing on the 1/3 magnetization plateau between approximately 7 T and 14 T. At 12.7 T, the temperature dependence of 1/T1 shows an activated exponential decrease below about 10 K, which the authors fit with 1/T1 = C exp(-Δ/kBT) and interpret as a spin gap Δ/kB = 11 K in the plateau state. A field sweep of 1/T1 at T = 1.5 K shows an approximately exponential decrease with field; the authors fit this with a Zeeman-like gap Δ(H) = gμB(μ0H - 4.5 T) with g = 2.17, concluding that the gap appears near the onset of the plateau and grows linearly with field. The paper also reports Knight shift data, a powder NMR spectrum simulation, and a phase-diagram context from magnetization and heat capacity measurements.

Significance. If the main claim is correct, the paper provides valuable microscopic information on the gapped excitation spectrum of the 1/3 magnetization plateau state in a quasi-two-dimensional kagome antiferromagnet. The 12.7-T activated temperature dependence is a clean, direct measurement and is the strongest part of the paper. The claimed field evolution of the gap is more speculative because it rests on a single isothermal field sweep and a two-parameter fit with an offset that is not tied to the known plateau onset. The authors are transparent about several experimental limitations, including the deviation of the recovery curves from a single-T1 form and the difficulty of low-temperature site assignment in the powder spectrum, but these limitations are not quantitatively addressed. The paper is likely to be of interest to the frustrated-magnetism community, but the field-evolution claim needs stronger support or a more cautious presentation before publication.

major comments (4)
  1. [Fig. 5(a)] The central new result, the linear field dependence Δ(H) = gμB(μ0H - 4.5 T), is extracted entirely from a single field sweep of 1/T1 at T = 1.5 K. A field scan at one temperature cannot separate a field-dependent energy gap from a field-dependent prefactor, from crossover effects near the phase boundary, or from a change in the dominant relaxation channel. The authors should either measure activated temperature dependences of 1/T1 at at least one other field (for example, 8.6 T or 10 T) to confirm that the gap extracted from the field sweep matches the gap from the temperature dependence, or they should explicitly restrict their claims to the existence of a gap at 12.7 T and describe the field dependence only as suggestive.
  2. [Fig. 5(b) and phase diagram] The fitted form Δ(H) = gμB(μ0H - 4.5 T) is internally inconsistent with the statement that the gap appears near the onset of the 1/3 plateau. The independently determined plateau onset is H_c1 ≈ 7 T, so the linear law gives Δ/kB ≈ 3.6 K at H_c1 and extrapolates to zero at 4.5 T, far below the plateau. The text acknowledges that the onset 'cannot be precisely determined,' but the discrepancy between 4.5 T and 7 T is not discussed. The authors should either modify the fitting function to include the known onset field, report the fit with an offset constrained to 7 T, or provide a physical explanation for a gapless-paramagnetic onset at 4.5 T despite the LRO boundary.
  3. [Recovery curve analysis and low-temperature site assignment] The paper states that the nuclear magnetization recovery deviates from the theoretical single-T1 form at low temperatures and that the single-T1 fit was used 'to consistently extract the average value of T1.' It also states that low-temperature site assignment is challenging for the powder spectrum. These issues affect the central quantity from which the gap is extracted. To show that the 11-K gap is robust, the authors should provide at least a representative comparison of the data with the single-T1 fit and with a two-component or stretched-exponential fit, and show that the extracted T1 (or the activated slope) does not change materially within the fitting ambiguity. Without this, the intrinsic nature of the relaxation process remains uncertain.
  4. [Field-dependence fit parameters and error bars] The fit in Fig. 5(a) appears to have only two free parameters (g and the field offset), and the authors report no uncertainties for g, the offset, or the resulting Δ/kB values shown in Fig. 5(b). The manuscript should state the fitting range, the number of data points, the residuals, and the confidence intervals. In a Letter this can be brief, but without error bars the claim of a linear field evolution with a specific slope is not quantitatively assessable.
minor comments (6)
  1. [Abstract] The phrase 'upto 14 T' should be 'up to 14 T.'
  2. [References] Several references contain obvious typographical errors, for example Ref. 7 has 'J. Mater. Chem, C' instead of 'J. Mater. Chem. C,' Ref. 17 has 'Commun.10. 1038' instead of a complete volume and page, and Ref. 8 has 'J. Mater. Chem, C' with a comma. The reference list should be carefully proofread.
  3. [Fig. 3] The caption says 'magnetization χ measured at 1 T is shown together with right axis,' but the right axis is not labeled in the figure; adding an axis label would improve readability.
  4. [Fig. 2] In the caption and text, the phrase 'consistently explained by the simulated powder spectrum' would be clearer as 'consistently reproduced by the simulated powder spectrum.'
  5. [Notation] The symbols 'Cl-m' and 'Cl-T' are introduced, but the text later refers to 'Cl-NMR' and '35Cl-NMR' inconsistently; using the isotope label consistently throughout would avoid confusion.
  6. [Section on field dependence] The statement that g = 2.17 'excludes a possibility of multi-magnon process to dominate 1/T1' is too strong: the slope of an exponential field dependence alone does not uniquely identify single-magnon Zeeman processes, especially without error bars. This sentence should be softened or supported by the temperature dependence at another field.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the 11 K gap is obtained from an activated temperature fit and the field dependence is explicitly presented as a fit to the field sweep, not as a prediction forced by its own input.

full rationale

The paper's central result has two components. The existence of a gap at 12.7 T is extracted from the temperature dependence of 1/T1 using 1/T1 = C exp(-Delta/kBT), which is a standard activated fit, not a circular construction. The field evolution Delta(H) = g mu_B (mu0 H - 4.5 T) is obtained by fitting the 1.5 K field sweep of 1/T1 to an exponential form; the text explicitly states 'By assuming a conventional Zeeman gap Delta(H)=g mu_B mu0 H, g factor is estimated from the slope' and 'To fit the experimental data ... a field offset should be introduced'. Thus the field-dependent gap is a parameterization of the measured relaxation data rather than a quantity that was defined in terms of itself or predicted from the same equation. The consistency between the field-fit gap at 12.7 T (~12 K) and the independently fitted temperature-activation gap (11 K) is a legitimate cross-check. The use of Ref. 24 for the 7-14 T plateau range and J1 is a measured external input from prior overlapping work, and no load-bearing argument reduces to that citation. The acknowledged limitations (single-temperature field sweep, fitted 4.5 T offset lying below the 7 T plateau onset, low-temperature site assignment, and single-T1 recovery fitting) weaken the field-evolution claim as an empirical inference, but they are not instances of an output being equivalent to an input by construction. Accordingly, the paper contains no significant circularity.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claim rests on fitted parameters (Δ, C, g, field offset) and on assumptions about the NMR signal origin and the activated relaxation form. No new physical entities are introduced.

free parameters (4)
  • Δ/kB (spin gap at 12.7 T) = 11 K
    Fitted from the exponential temperature dependence 1/T1 = C exp(-Δ/kBT) below 10 K at 12.7 T.
  • C (pre-exponential factor) = 120 s^-1
    Fitted simultaneously with Δ in the same exponential fit.
  • g-factor for field dependence = 2.17
    Fitted from the slope of the semi-log plot of 1/T1 vs field at 1.5 K assuming Δ(H) = gμB H.
  • Field offset μ0H0 = 4.5 T
    Fitted from the intercept of the field dependence; it sets the onset field of the gap near the plateau boundary.
assumptions (4)
  • domain assumption The observed 1/T1 at the dominant NMR peak reflects intrinsic kagome-plane spin excitations.
    The paper assigns the spectrum to Cl-m sites but notes low-temperature site assignment is challenging; contamination from Cl-T sites or orphan spins could bias the relaxation.
  • domain assumption The relaxation rate follows 1/T1 = C exp(-Δ/kBT) for gapped excitations in the plateau state.
    Used to extract the gap from T-dependence; assumes a single activation gap and neglects potential multi-magnon or disorder contributions.
  • domain assumption The field dependence of the gap is the Zeeman form Δ(H) = gμB(μ0H - H0).
    Assumed to interpret the exponential field dependence of 1/T1; the offset H0 is introduced ad hoc to match the data.
  • ad hoc to paper Single-T1 component recovery fit is valid despite observed deviation at low temperatures.
    The paper notes a deviation from the theoretical recovery curve at low temperatures but uses a single-T1 fit anyway to 'consistently extract the average value'.

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Cite this review

Pith. "Pith review of Magnetic excitations in the 1/3 plateau state in InCu$_3$(OH)$_6$Cl$_3$." pith.science (2026). https://pith.science/paper/LXDQLMKF

@misc{pith2026250605645,
  author       = {Pith},
  title        = {Pith review of: Magnetic excitations in the 1/3 plateau state in InCu$_3$(OH)$_6$Cl$_3$},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/LXDQLMKF}},
  note         = {Machine review of arXiv:2506.05645}
}
abstract

Magnetic dynamics in InCu$_3$(OH)$_6$Cl$_3$ was investigated from the NMR relaxation rate measurement. In InCu$_3$(OH)$_6$Cl$_3$, the magnetization isotherm shows a plateau at the 1/3 of full-saturation magnetization, characterizing the 1/3 plateau state. As the 1/3 plateau state appears above 7 T upto 14 T, the microscopic magnetic properties were investigated with the NMR measurement in steady fields. The temperature and field dependence of $1/T_1$ measurement reveals a gap in the magnetic excitation spectrum and its evolution with field in the 1/3 plateau state. The field dependence of spin gap provides an important information to understand the microscopic origin of 1/3 plateau state in the kagome antiferromagnets.

Figures

Figures reproduced from arXiv: 2506.05645 by the authors.

Figure 1
Figure 1. Magnetic field-temperature phase diagram for InCu3(OH)6Cl3. 24) The short-range order (SRO) and long-range order (LRO) phases were char￾acterized by the heat capacity (HC) and magnetization measurements. The magnetization isotherm measured with pulsed field shows a plateau behav￾ior at 1/3 of full saturation between 7 T and 14 T before showing the full saturation above 25 T. Inset shows the in-plane structure of InC… view at source ↗
Figure 2
Figure 2. (a) Wide-range 35Cl-NMR spectrum measured at 20 K. The asym￾metric spectral shape was consistently explained by the simulated powder spectrum represented by red solid line. (b) The high-resolution frequency spectrum for the center peak at 250 K. Red solid line is the simulated spec￾trum using the same parameters as in (a). The two peaks were assigned to the Cl-m and Cl-T sites. (See text) The nuclear spin lattice re… view at source ↗
Figure 3
Figure 3. Temperature dependence of Knight shift measured at 13 T (trian￾gles) and 8.6 T (points). The magnetization χ measured at 1 T is shown together with right axis. Inset is the K − χ plot, in which K is plotted as a function of χ using the temperature as an implicit parameter. obtained asymmetric spectral shape. Therefore, the observed 35Cl-NMR spectrum was assigned to the Cl-m sites, for which the local symmetry is low… view at source ↗
Figures from the paper (1 more)
Figure 5
Figure 5. Figure 5: (a) Field dependence of 1/T1 at 1.5 K. An exponential behavior as a function of field was observed for broad field range covering the 1/3 plateau state. A small value at low field was obtained in the LRO state. (b) Field dependence of 1/3 plateau gap invoked from the 1…

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