Evidence of rotational and tilting disorder of ReO6 octahedra in single crystals of a 5d1 double perovskite Ba2CaReO6

Alasdair Nicholls; Alessandro Bombardi; Daigorou Hirai; Henrik M. Ronnow; Ivica Zivkovic; Jian-Rui Soh; Yikai Yang

REVIEW 2 major objections 5 minor 23 references

Evidence of rotational and tilting disorder of ReO6 octahedra in single crystals of a 5d1 double perovskite Ba2CaReO6

T0 review · 2 major / 5 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read Ba2CaReO6 single crystals lack the phase transitions seen in powders, with x-ray data pointing to random ReO6 octahedral tilts.

desk verdict A careful first single-crystal study of Ba2CaReO6 with a solid negative result on phase transitions, but the octahedral-disorder mechanism is not yet pinned down by the diffraction data. read the letter →

arxiv 2507.10107 v1 pith:ANTEABMF submitted 2025-07-14 cond-mat.str-el

Alasdair Nicholls , Jian-Rui Soh , Yikai Yang , Alessandro Bombardi , Daigorou Hirai , Henrik M. Ronnow , Ivica Zivkovic This is my paper · ORCID

classification cond-mat.str-el

keywords Ba2CaReO6doubleperovskite5d1electronconfigurationoctahedraltiltingdisorderspin-orbitcouplingresonantx-rayscatteringspecificheatmagneticsusceptibility

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

Ba2CaReO6 is a $5d^1$ double perovskite whose powder form was reported to undergo two phase transitions, but this paper reports that flux-grown single crystals show no thermodynamic phase transition at all. Specific heat measured in fields up to 9 T and with two different pulse protocols is smooth apart from a low-temperature electronic contribution that releases approximately $R\ln2$ of entropy. The crystals show a weak splitting between zero-field-cooled and field-cooled magnetization below 12 K that disappears above 1 T, which the authors read as freezing of short-range correlations rather than long-range magnetic order. Resonant and non-resonant x-ray diffraction found no magnetic Bragg peak and instead shows broadened structural peaks plus low-temperature growth of weak reflections, which the paper attributes to random tilts and rotations of rigid ReO6 octahedra. If that attribution is right, the crystal form is structurally disordered in a way that suppresses the ordering seen in powders, so structural disorder must be characterized before interpreting this compound's low-temperature properties.

What carries the argument

The load-bearing object is the rigid ReO6 octahedron, a rhenium ion surrounded by six oxygen ions, treated as a unit that can rotate or tilt without changing its internal shape. The evidence chain uses three x-ray signatures: Bragg-peak broadening far beyond instrumental resolution, peak widths that change with temperature, and growth of the weak [4,6,0]/[6,4,0] reflections with no sharp transition; together these are read as random incoherent octahedral tilts rather than a coherent structural phase transition. The same mechanism is supported by the structural fact that the octahedra do not share ligands with their neighbors, so each one can move independently. The thermodynamic measurements enter as a negative result: the absence of specific-heat anomalies and of magnetic peaks rules out long-range order, leaving local disordered tilts as the proposed explanation for the missing transitions.

What would settle it

Measure the three-dimensional diffuse x-ray scattering around the [4,4,0] and [0,10,0] peaks down to 10 K: random octahedral tilts would produce temperature-dependent diffuse intensity concentrated in specific reciprocal-space directions, whereas mosaicity or strain would broaden the peaks isotropically and without the accompanying growth of the [4,6,0]/[6,4,0] intensity.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that single-crystal Ba2CaReO6 is not equivalent to powder Ba2CaReO6: the crystals lack the thermodynamic signatures of the two transitions reported for powders, yet release about $R\ln2$ of low-temperature entropy without any specific-heat anomaly. No magnetic Bragg peak appears in resonant x-ray scattering at the Re $L_3$ edge, while the structural Bragg peaks [0,10,0] and [4,4,0] are broader than the instrumental resolution already at room temperature and broaden further on cooling. At the same time, the weak [4,6,0] and [6,4,0] reflections gain intensity at low temperature. The paper's interpretation is that the ReO6 octahedra stay rigid but are randomly tilted and rotated from site to site, producing a static structural disorder that frustrates the long-range electronic order observed in powders. The compound sits close to the tolerance-factor boundary at which such octahedral instabilities become favorable.

Load-bearing premise

The load-bearing assumption is that the broadening of the structural Bragg peaks and the growth of the weak [4,6,0]/[6,4,0] reflections come from random, uncorrelated tilts and rotations of intact ReO6 octahedra; if those x-ray features instead come from crystal mosaicity, internal strain, or a coherent ordered distortion, the proposed disorder mechanism for the missing phase transitions is not established.

Editorial extensions

If this is right

Powder data on Ba2CaReO6 cannot be assumed to describe single crystals; each form needs its own structural characterization before thermodynamic conclusions are drawn.
The $\sim R\ln2$ entropy release without a phase transition points to local two-level degrees of freedom, more like a dynamic Jahn-Teller response than collective order.
The weak zero-field-cooled/field-cooled splitting below 12 K is better described as freezing of short-range correlations than as the onset of antiferromagnetic order.
X-ray peak widths that grow on cooling implicate low-energy, temperature-activated octahedral tilts rather than fixed defects such as vacancies.
Any search for hidden multipolar order in single crystals of this family must separate the octahedral-disorder contribution before assigning thermodynamic signatures.

Reading between the lines

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

If the random-tilt picture is right, crystal-growth conditions should tune the disorder: crystals made with different fluxes or cooling rates should show different peak widths, and the cleanest specimens might recover the transitions seen in powders.
The same incoherent-tilt mechanism could explain why several other Re- and Os-based double perovskites have only been obtained as powders or show sample-dependent behavior; a survey of octahedral-tilt signatures across the family could test this.
A frequency-dependent ac-susceptibility measurement could test the freezing interpretation of the low-field ZFC/FC split without relying on the x-ray disorder model.
A quantitative model of uncorrelated octahedral tilts predicts specific diffuse scattering and a particular temperature dependence of the [4,6,0]/[6,4,0] intensity; if that prediction fails, a coherent tilt system or strain becomes the more likely source.

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Editorial analysis

A structured set of objections, weighed in public.

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

Desk Editor's Note

read the letter

First thing you should know: this is the first single-crystal study of Ba2CaReO6, and the thermodynamic data are the most valuable part. The authors show convincingly that these crystals do not undergo the two phase transitions seen in powder samples [15]. Specific heat was measured with short and long heat pulses, and both protocols agree; there is no anomaly. No magnetic Bragg peak appears. That negative result is solid.

The new thing, beyond the negative result, is the suggestion that random tilts and rotations of ReO6 octahedra disorder the system and kill the transitions. That is plausible but not established. The diffraction evidence is a broadening of [0,10,0] and [4,4,0] and growth of [4,6,0]/[6,4,0] intensity. The problem, as your stress-test note says, is that [4,6,0] and [6,4,0] are allowed in the Fm-3m double-perovskite structure; their intensity depends on the oxygen positional parameter. A coherent tilt (e.g., Glazer distortion) would also make them grow. The paper reports only integrated intensities, no line-shape or width comparison for these weak peaks, and no subtraction of mosaicity/strain effects. So the data are consistent with random disorder, but they do not uniquely support it. The authors themselves say 'further studies are needed to establish the exact microscopic origin,' which is the right caveat, but the abstract and discussion lean harder on the disorder mechanism than the evidence allows.

The phonon background is taken from DFT for Ba2MgReO6, scaled in both temperature and C_p axes. That is a fitted adjustment and carries uncertainty, but the entropy release below 20 K is robust to reasonable variations, and the R ln 2 value matches the low-lying doublet picture. So the thermodynamic story holds up.

What I would take from this: the absence of transitions in single crystals is a real, useful result for the 5d double-perovskite community. The mechanism is underdetermined. A referee should ask for diffuse scattering or a structural refinement before accepting the tilt-disorder explanation as anything more than a hypothesis.

Worth sending to a serious journal? Yes, the compound is topical and the single-crystal thermodynamic data are careful. But it should not be accepted without either additional diffraction evidence or a more cautious framing of the central claim.

Referee Report

2 major / 5 minor

Summary. The paper reports magnetization, specific heat, and resonant/non-resonant x-ray diffraction measurements on flux-grown single crystals of the 5d1 double perovskite Ba2CaReO6. The magnetization shows a weak ZFC/FC splitting below 12 K that is suppressed by fields above 1 T. Specific heat measurements, using both short and long heat-pulse protocols, show no sharp anomalies, and the authors infer an electronic entropy release of approximately R ln 2 after subtracting a phonon background. X-ray diffraction reveals broadening of the fundamental [0,10,0] and [4,4,0] peaks and a growing intensity of the [4,6,0] and [6,4,0] reflections at low temperature. The authors interpret these observations as evidence of random tilts and rotations of ReO6 octahedra and propose that this structural disorder distinguishes the single crystals from previously studied powder samples, which show two phase transitions. The paper concludes that the single crystals lack thermodynamic phase transitions.

Significance. The central negative result—the absence of a thermodynamic phase transition in single-crystal Ba2CaReO6—is convincingly supported by the specific heat data and by the absence of magnetic Bragg peaks, and the difference from powder samples is noteworthy for the study of multipolar order in 5d double perovskites. The careful use of two heat-pulse protocols is a strength. However, the proposed mechanism—random octahedral tilts and rotations—is an interpretation that the x-ray data do not uniquely establish, as the measured reflections are also consistent with a coherent structural distortion or with mosaicity/strain. The paper is therefore valuable as a report of the single-crystal behavior, but its title and abstract overstate the current evidence for the disorder mechanism.

major comments (2)

[III C and IV (Fig. 8)] The central claim that the x-ray data constitute evidence of random rotational and tilting disorder of ReO6 octahedra is not uniquely supported. As the authors themselves note, [4,6,0] and [6,4,0] are allowed reflections in the Fm-3m double-perovskite structure, and their intensity is governed by the oxygen positional parameter x; a coherent, ordered oxygen displacement (e.g., a Glazer tilt lowering the symmetry to I4/m or P2_1/n) would also produce temperature-dependent intensity in these channels. The paper reports only integrated intensities for these weak reflections and does not compare their line shapes or widths with the mosaicity/strain broadening observed on the fundamental peaks. Random tilt disorder is therefore an inference, not a demonstrated mechanism; the statement in Section IV that 'further studies are needed to establish the exact microscopic origin' should be reflected in the title and abstract.
[III B] The estimate of a total electronic entropy release of ~R ln 2 relies on a phonon background taken from DFT calculations for Ba2MgReO6, scaled along both the temperature and heat-capacity axes to match the data in the 80–100 K range. This introduces two adjustable parameters, and the integrated entropy is sensitive to the subtraction, as the authors acknowledge when noting that the broad contribution around 40 K 'might arise as a consequence of an improper phonon subtraction.' The absence of a phase transition is independent of this subtraction, but the quantitative entropy claim should be presented with an uncertainty estimate or as an estimate pending a measured phonon background.

minor comments (5)

[III C] The equation for the Pearson VII function (Eq. (1)) is garbled in the text; please correct the mathematical typesetting, as the current form is not readable.
[III A] The interpretation of the ZFC/FC splitting as freezing of short-range correlations is plausible but not supported by frequency-dependent measurements; consider phrasing it as a tentative suggestion.
[III C] The paper does not state the numerical values of the peak widths or their error bars in Figs. 4, 6, and 7; adding these would improve the assessment of the non-monotonic temperature dependence.
[General] The manuscript contains several typographical errors and inconsistencies in notation (e.g., 'F m3m' instead of 'Fm-3m', and 'Rln2' without a space); a careful proofread is needed.
[Fig. 8] The caption of Fig. 8 does not state the energy or polarization channel settings for the intensity measurements; this should be clarified.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: central experimental claims are self-contained; only minor non-load-bearing self-citation appears in the phonon background estimate.

full rationale

I find no circular derivation. The paper's central claim is an experimental comparison: single crystals of Ba2CaReO6 show no thermodynamic transition whereas powder samples [15] show transitions; this rests on direct magnetization and specific-heat measurements, and the comparison is an external benchmark. The structural-disorder interpretation is explicitly hedged ('potentially linked', 'further studies are needed to establish the exact microscopic origin'), and while the [4,6,0]/[6,4,0] intensities and peak-broadening data are consistent with random octahedral tilts, that underdetermination is a correctness limitation, not a reduction of the conclusion to its inputs. The only self-referential input is the phonon background taken from prior DFT work on Ba2MgReO6 (refs. 18,19), scaled to the measured data in the range 80-100 K; this is a fitted model background used to estimate the electronic entropy, not a prediction that is forced by construction, and the absence of a phase transition is visible in the raw C_p(T) data independently of that background. No equation or fitted parameter is renamed as a prediction, and no uniqueness theorem or ansatz is imported from the authors' prior work to forbid alternatives. The score of 1 reflects the minor self-citation in the phonon background, which is not load-bearing for the main conclusion.

Assumptions & free parameters 1 free parameters · 3 assumptions · 0 invented entities

The central claims rest on two domain assumptions (phonon transfer from Ba2MgReO6 and rigid octahedra) and one interpretive assumption (random tilts and rotations cause the diffraction features). One hand-tuned phonon scaling factor enters the entropy estimate. No new physical entities are introduced.

free parameters (1)

Phonon background scaling factors = T-axis and Cp-axis scale factors chosen to match DFT phonons of Ba2MgReO6 to the experimental data in the 80-100 K range
Used in Figure 2b to subtract the phonon background and estimate the electronic entropy. The authors note the background is approximate and that the 40 K shoulder might be an artifact of the subtraction.

assumptions (3)

domain assumption The phonon background of Ba2CaReO6 is well approximated by scaled DFT phonons of Ba2MgReO6.
Section III B: used for the specific heat subtraction and entropy estimate; the authors acknowledge deviations between DFT and experiment for Ba2MgReO6.
domain assumption ReO6 octahedra remain rigid in Ba2CaReO6.
Section IV: the paper cites RIXS [21] showing spectra similar to Ba2MgReO6, which supports interpreting the disorder as tilts or rotations of rigid octahedra rather than internal distortions.
ad hoc to paper The broadened Bragg peaks and the appearance of [4,6,0] and [6,4,0] reflections originate from random octahedral tilts and rotations, not from mosaicity, strain, or a coherent structural distortion.
Sections III C and IV: this is the proposed disorder mechanism, but the paper only labels it as potentially related and calls for further studies.

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Cite this review

Pith. "Pith review of Evidence of rotational and tilting disorder of ReO6 octahedra in single crystals of a 5d1 double perovskite Ba2CaReO6." pith.science (2026). https://pith.science/paper/ANTEABMF

@misc{pith2026250710107,
  author       = {Pith},
  title        = {Pith review of: Evidence of rotational and tilting disorder of ReO6 octahedra in single crystals of a 5d1 double perovskite Ba2CaReO6},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ANTEABMF}},
  note         = {Machine review of arXiv:2507.10107}
}

read the original abstract

We present results of an experimental study on single crystals of a 5d1 double perovskite Ba2CaReO6. Magnetization measurements reveal a weak splitting between zero-field-cooled and field-cooled protocols below 12 K. At magnetic fields above 1 T the splitting is absent and the magnetic susceptibility is featureless. A detailed specific heat study in a wide temperature range and comprising different heat pulses did not reveal any indication of a thermodynamic phase transition. At low temperatures we do observe specific heat deviating from a phonon background, leading to a total electronic entropy release of ~Rln2. Resonant and non-resonant x-ray diffraction of characteristic Bragg peaks indicates a significant presence of disorder, potentially related to random tilts and rotations of rigid ReO6 octahedra.

Figures

Figures reproduced from arXiv: 2507.10107 by the authors.

**Figure 3.** FIG. 3. Fluorescence of single-crystal Ba [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗

**Figure 2.** FIG. 2. (a) Specific heat of Ba [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

Figures from the paper (4 more)

**Figure 5.** Figure 5: FIG. 5. Temperature dependence of the [0,10,0] Bragg peak [PITH_FULL_IMAGE:figures/full_fig_p004_5.png]

**Figure 4.** Figure 4: FIG. 4. A [PITH_FULL_IMAGE:figures/full_fig_p004_4.png]

**Figure 6.** Figure 6: FIG. 6. A [PITH_FULL_IMAGE:figures/full_fig_p005_6.png]

**Figure 8.** Figure 8: FIG. 8. Temperature dependence of the [4,6,0] and [6,4,0] [PITH_FULL_IMAGE:figures/full_fig_p006_8.png]

Discussion (0). Continue with ORCID to comment.

Reference graph

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Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.

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Ishikawa, D

H. Ishikawa, D. Hirai, A. Ikeda, M. Gen, T. Yajima, A. Matsuo, Y. H. Matsuda, Z. Hiroi, and K. Kindo, Phase transition in the 5 d1 double perovskite Ba 2CaReO6 in- duced by high magnetic field, Phys. Rev. B 104, 174422 (2021)

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W. Witczak-Krempa, G. Chen, Y. B. Kim, and L. Ba- lents, Correlated quantum phenomena in the strong spin-orbit regime, Annual Review of Condensed Matter Physics 5, 57 (2014)

work page 2014

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D. F. Liu, A. J. Liang, E. K. Liu, Q. N. Xu, Y. W. Li, C. Chen, D. Pei, W. J. Shi, S. K. Mo, P. Dudin, T. Kim, C. Cacho, G. Li, Y. Sun, L. X. Yang, Z. K. Liu, S. S. P. Parkin, C. Felser, and Y. L. Chen, Magnetic Weyl semimetal phase in a kagom´ e crystal, Science365, 1282 (2019)

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H. Takagi, T. Takayama, G. Jackeli, G. Khaliullin, and S. E. Nagler, Concept and realization of Kitaev quantum spin liquids, Nature Reviews Physics 1, 264 (2019)

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