Thickness-dependent crack suppression and wrinkle formation in freestanding BaTiO3 membranes

Ajay Kumar; Nini Pryds; Rajesh Mandal

REVIEW 2 major objections 4 minor 37 references

Thickness-dependent crack suppression and wrinkle formation in freestanding BaTiO3 membranes

T0 review · 2 major / 4 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read Reducing freestanding BaTiO3 thickness from 15 nm to 5 nm suppresses large-area cracking while promoting dense nanoscale wrinkling, with a crack-to-wrinkle crossover between 10 and 12 nm.

desk verdict Honest, useful empirical study of crack-vs-wrinkle behavior in freestanding BaTiO3 membranes, but the central thickness trend is likely confounded with growth-run identity. read the letter →

arxiv 2607.20054 v1 pith:EGABD7X2 submitted 2026-07-22 cond-mat.mtrl-sci

Rajesh Mandal , Ajay Kumar , Nini Pryds This is my paper · ORCID

classification cond-mat.mtrl-sci

keywords freestandingmembranesBaTiO3ferroelectriccracksuppressionwrinkleformationmembranetransferpiezoresponseforcemicroscopystrainrelaxation

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

The paper tries to establish that in freestanding barium titanate (BaTiO3) membranes released from their growth substrate, the way the membrane relieves strain can be steered by thickness: membranes 12–15 nm thick crack visibly over large areas, while 5–10 nm membranes stay free of large-area cracks but develop dense nanoscale wrinkles. The crossover sits between 10 and 12 nm under the authors' growth and transfer conditions. The authors further show that the thickness of the polymer support layer used during transfer modulates wrinkle density in 10 nm membranes, and that the apparent ferroelectric response measured by piezoresponse force microscopy decays over about an hour after release, indicating charge-mediated contrast rather than purely stable polarization. If correct, the work gives a practical processing map for integrating ultrathin ferroelectric oxides with silicon, while flagging wrinkle control and polarization stability as open problems.

What carries the argument

The central mechanism is the competition between fracture and out-of-plane buckling during strain relaxation, governed by bending stiffness D ∝ E t^3: thinning the membrane lowers the energy cost of bending, promoting wrinkling, while thicker membranes resist bending and relax by cracking. The empirical control knobs are the oxide thickness and the thickness of the CAB polymer support, which sets the compressive load imposed on the membrane as the polymer recovers after release.

What would settle it

Repeat the thickness series while independently varying the sacrificial-layer dissolution rate (e.g., water temperature) and the support polymer modulus; if the 10–12 nm crossover shifts or vanishes when thickness is fixed, the crossover is not a thickness effect.

Watch

Extended reading notes

Core claim

Under nominally fixed growth and transfer conditions, reducing BaTiO3 thickness from 15 nm to 5 nm shifts post-release morphology from crack-dominated to wrinkle-dominated strain relaxation: 12 nm and 15 nm membranes show optically visible large-area cracks with smooth surfaces between them, while 10 nm and 5 nm membranes show no visible large-area cracks but increasingly dense nanoscale wrinkles. The crossover lies between 10 and 12 nm. For 10 nm membranes, varying the cellulose acetate butyrate (CAB) support thickness from 200 to 500 µm alters wrinkle density and height non-monotonically, with 300–400 µm giving the least wrinkling, without reintroducing visible cracks. Time-resolved PFM on

Load-bearing premise

The paper assumes that the observed crack-to-wrinkle crossover is caused by thickness itself, because growth and transfer conditions were kept nominally constant—but residual strain, adhesion energy, polymer modulus, and transfer-induced stresses were not independently measured, so uncontrolled sample-to-sample variations could in principle drive the trend.

Editorial extensions

If this is right

An empirical thickness window exists (around 10 nm) where large-area visible cracking is suppressed under the tested transfer protocol.
Wrinkle density and height in crack-free membranes can be tuned by the support polymer thickness, with intermediate thicknesses (300–400 µm) giving the least wrinkling.
Because bending stiffness scales as E t^3, thinning is a general lever for shifting strain relaxation from fracture to buckling in oxide membranes.
Apparent ferroelectric response in released membranes includes a time-dependent, charge-mediated component; stable switching cannot be inferred from static written contrast alone.
The observed contrast decay motivates separating electrostatic and ferroelectric contributions using complementary techniques before device integration.

Reading between the lines

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

If the thickness–morphology trade-off generalizes beyond this specific growth/transfer recipe, it suggests a design rule for other perovskite oxides: choose a thickness near the bending-stiffness crossover to avoid both cracking and excessive wrinkling.
The non-monotonic dependence on support thickness implies an optimum support stiffness/drying condition; a systematic sweep of polymer modulus (not just thickness) could yield a sharper suppression of wrinkles.
The hour-scale decay of written PFM contrast implies that memristive or memory devices built from freestanding BTO will need either better interfacial charge dissipation or encapsulation, or they will need to exploit charge-mediated states as the functional state.
A direct testable extension: measure wrinkle wavelength vs thickness and compare with the classical buckling scaling prediction (wrinkle wavelength ~ t^fraction) to validate the bending-stiffness mechanism quantitatively.

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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

Colleague,

The paper is worth your time if you work on freestanding oxide membranes. It is an honest, internally consistent experimental study of crack and wrinkle morphology in freestanding BaTiO3 as a function of BTO thickness (5–15 nm) and polymer support (CAB) thickness. The headline result—thinner membranes suppress large-area cracking but develop denser nanoscale wrinkles, with a crossover around 10–12 nm—is new, and it explicitly contradicts an earlier report (ref. 29) that thinner BTO cracks more. The authors are careful to frame it as an empirical trend under their specific transfer protocol, not a universal thickness law. That restraint is genuine, and the D ∝ Et^3 argument is presented as qualitative interpretation, not a derivation.

What the paper does well: systematic thickness and support-thickness comparison, quantification with at least 5 membranes and 10 image regions per condition, and clear admission of unmeasured parameters (residual strain, fracture toughness, adhesion, polymer modulus). The PFM time-decay data are honestly interpreted as a mixed electromechanical/electrostatic response, not overclaimed as intrinsic ferroelectric switching. No fitting, no free parameters, no circularity. The citation pattern is appropriate.

Now the soft spots, in proportion. The biggest is the one flagged in the stress-test note: each thickness almost certainly came from a separate PLD growth run, so thickness is perfectly confounded with run identity. The paper says growth and transfer conditions were "kept nominally constant," but no replicate growths per thickness are reported. If run-to-run variations in laser fluence, target condition, or manual scooping drove the crack-to-wrinkle crossover, the "thickness-dependent" framing is not supported. This does not destroy the paper—it remains a useful processing observation for this lab's protocol—but it does mean the central claim needs either replicate growths per thickness or a softer claim ("run-dependent" rather than "thickness-dependent"). The other issues are minor: the CAB-thickness effect on wrinkles is explicitly non-robust, the PFM time course is a single region with no error bars, and there are no statistical significance tests between conditions. None of these are fatal given how the authors bound their conclusions.

Who this is for: experimentalists working on freestanding ferroelectric membranes, especially those trying to reduce cracks in ultrathin BTO. The processing map is plausible and practically useful, but the causal role of thickness alone is not established.

I would send this to peer review. The work is solid enough to deserve referee time, but I would ask for replicate growths per thickness or a revised claim that makes the growth-run confound explicit. With that, it becomes a credible empirical contribution.

Referee Report

2 major / 4 minor

Summary. The paper reports an experimental study of post-transfer morphology in freestanding BaTiO3 (BTO) membranes released from SrTiO3 via a Sr3Al2O6 sacrificial layer and transferred with a cellulose acetate butyrate (CAB) polymer support. The authors find that under their growth and transfer protocol, membranes with nominal BTO thicknesses of 12 nm and 15 nm exhibit optically visible large-area cracks, whereas 5 nm and 10 nm membranes show no such cracks but display increasingly dense nanoscale wrinkling, with a crossover placed between 10 and 12 nm. For 10 nm BTO, varying the CAB support thickness (200–500 μm) changes wrinkle density and height, with an apparent non-monotonic minimum at 300–400 μm that the authors themselves flag as needing further statistical support. Piezoresponse force microscopy on a released 15 nm membrane shows time-dependent decay of written phase/amplitude contrast, which the authors interpret as a mixed ferroelectric/electrostatic response rather than stable polarization switching. The paper explicitly bounds its conclusions to the present transfer conditions and analyzed regions, and states that residual strain, fracture toughness, adhesion energy, polymer modulus, and transfer-induced stresses were not independently measured.

Significance. If the central thickness-dependent crack-to-wrinkle crossover is robust, the paper provides practical guidance for fabricating crack-free ultrathin ferroelectric membranes, which is a recognized bottleneck for silicon integration of oxide ferroelectrics. The study is also notable for its explicit acknowledgment of the local and protocol-dependent nature of the morphology metrics, and for reporting quantitative densities from multiple membranes and image regions per condition. The PFM temporal-decay analysis is a useful caution against interpreting released-membrane PFM contrast as purely ferroelectric. However, the main causal claim is weakened by the strong possibility that BTO thickness is confounded with the identity of individual growth runs, and by the absence of statistical tests for the key comparisons.

major comments (2)

[Wrinkle-to-Crack transition; Methods: Thin Film Growth] The central claim that reducing BTO thickness suppresses cracking and promotes wrinkling rests on comparing samples of nominally different thickness grown in separate PLD runs. The Methods section describes a single growth recipe but does not state that replicate growth runs were performed for each thickness. If each thickness was obtained from a single deposition run, thickness is perfectly confounded with run identity, and run-to-run variations in laser fluence, target state, base pressure, or temperature could in principle account for the observed crossover. The statement that 'growth and transfer conditions were kept nominally constant' does not eliminate this confound. The paper's own acknowledgment that residual strain, defect density, adhesion, and release kinetics were not measured makes this concern concrete. Please either provide evidence (e.g., replicate growth runs per thickn
[Quantification of crack and wrinkle morphology; Figs. 2(e)–(f), 3] The key morphological trends are supported by mean ± standard deviation from at least five membranes and ten image regions per condition, but no statistical tests (or confidence intervals) are reported. In particular, the crossover between 12 nm and 10 nm is inferred from visual separation of mean values, and the non-monotonic CAB-thickness effect is explicitly acknowledged to require additional quantitative analysis, yet it appears in the abstract as a stated result. Please add appropriate significance testing or interval estimates for the pairwise comparisons that support the claims: 12 nm vs 10 nm crack/wrinkle density, and 200 μm vs 300/400 μm wrinkle density/height for the 10 nm membranes. If the number of independent growth runs is too small for meaningful statistics, this should be stated in the Methods, and the corresponding conclusions in the Abstract and Results should be worde

minor comments (4)

[Wrinkle-to-Crack transition] The sentence 'The crossover thickness lies between 10-12 nm and is visible from Fig. 1 (b) and (c)' refers to Fig. 1, which is a schematic illustration; the data supporting the crossover are in Fig. 2. Please correct the citation.
[Fig. 2 caption] The ordinate units for crack density and wrinkle density are not given in the caption. Provide units (e.g., μm/μm² or 1/μm) so the reader can interpret the magnitudes.
[Abstract and Results] The abstract states that an intermediate polymer thickness 'reducing wrinkle density' as a firm result, while the Results section says 'additional quantitative analysis would be required to establish whether this apparent non-monotonic dependence is statistically robust.' Please harmonize these statements, either by softening the abstract or by providing the requested analysis.
[Methods: Characterization] The AFM/PFM measurement description would benefit from stating the scan rate and the number of images per condition, as these affect the reported density metrics. This is not essential to the conclusions but improves reproducibility.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity found: the paper reports an empirical thickness–morphology trend with explicit caveats and offers only a qualitative mechanical interpretation, with no fitted parameters, no load-bearing self-citations, and no result that reduces to its inputs by construction.

full rationale

Walking the paper's derivation chain, there is no circular step. The central claim is empirical: optical and AFM observations show that thicker (12–15 nm) freestanding BaTiO3 membranes exhibit large-area cracks, while thinner (5–10 nm) membranes show suppressed visible cracking but denser nanoscale wrinkling. This is a measured morphological trend, not a derived prediction. The only theoretical element, D ∝ Et^3, is explicitly presented as a qualitative scaling argument: 'the bending stiffness scales approximately as D ∝ Et^3... This interpretation is qualitative because residual strain, fracture toughness, adhesion energy, support-layer modulus, and transfer-induced stresses were not independently measured.' No parameter is fitted to the thickness data and then renamed as a prediction; the scaling law is not used to generate quantitative values that are then compared with data. The PFM time-decay observation is also presented with multiple candidate mechanisms — 'polarization relaxation, charge screening, or nonuniform electrical contact' — rather than claiming a unique ferroelectric signature, so no evidence is tailored to force a conclusion. Self-citations appear (e.g., refs. [12], [28], [31] involving the authors), but they are contextual citations about BaTiO3 properties and membrane-fabrication challenges; none is load-bearing for the crack–wrinkle crossover or the PFM interpretation. The paper explicitly limits its own claims: the trend 'should be interpreted as an empirical thickness dependence under the present transfer protocol rather than as a universal thickness-only effect,' and several parameters 'were not independently varied.' These are honesty caveats about external validity, not circularity. The possible run-to-run confounding of thickness with growth identity is a correctness/robustness concern, not a self-referential equivalence. Accordingly, no circular step can be exhibited, and the appropriate score is 0.

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

The paper introduces no fitted parameters or invented physical entities. Its central claim rests on the experimental assumption of nominally constant growth/transfer conditions across the thickness series, on a qualitative plate-stiffness model, and on the standard interpretation of PFM contrast, all of which the authors explicitly flag as assumptions requiring further measurement.

assumptions (3)

domain assumption The SAO sacrificial layer dissolves in water and the CAB-based release/transfer is nominally identical across all thickness and CAB-thickness samples, so observed morphology differences are attributable to thickness/CAB thickness rather than process drift.
Invoked in Methods 'Membrane release and transfer' and in the Fig. 2 discussion; the authors note thickness may also affect residual strain, defect density, adhesion, and release kinetics.
domain assumption Thin-plate bending stiffness scaling D ∝ E·t^3 with approximately constant modulus E is a valid qualitative description of the BTO-polymer system; the paper does not measure E, residual strain, fracture toughness, or adhesion.
Used in the paragraph 'The observed change from crack- to wrinkle-dominated morphology...' to explain the thickness trend; labeled qualitative by the authors.
domain assumption PFM phase/amplitude contrast and its decay over time report on electromechanical and/or electrostatic state; the interpretation that charge screening and nonuniform contact contribute relies on prior literature (refs 32–34) rather than on independent electrical measurements in this paper.
Invoked in 'Temporal electromechanical stability in released BaTiO3'; the authors state further electrical characterization is needed.

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Cite this review

Pith. "Pith review of Thickness-dependent crack suppression and wrinkle formation in freestanding BaTiO3 membranes." pith.science (2026). https://pith.science/paper/EGABD7X2

@misc{pith2026260720054,
  author       = {Pith},
  title        = {Pith review of: Thickness-dependent crack suppression and wrinkle formation in freestanding BaTiO3 membranes},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/EGABD7X2}},
  note         = {Machine review of arXiv:2607.20054}
}

read the original abstract

Freestanding ferroelectric oxide membranes offer a promising route toward silicon-integrated low-power electronic and memory devices, but reproducible membrane quality remains challenging, particularly in ultrathin BaTiO3 (BTO), where cracking and wrinkling hinder integration. Here, we show that crack and wrinkle formation in released BaTiO3 membranes can be tuned by jointly controlling oxide thickness and polymer support thickness. Reducing the BaTiO3 thickness from 15 nm to 5 nm suppresses large-area, optically visible cracking across the analysed regions, but promotes dense nanoscale wrinkling, revealing a trade-off between fracture mitigation and morphological instability. In 10 nm BaTiO3 membranes, polymer support thickness further modulates wrinkling, with an intermediate thickness reducing wrinkle density. Piezoresponse force microscopy reveals time-dependent evolution of written contrast after release, indicating that apparent ferroelectric response is influenced by polarization switching, post-release morphology, interfacial contact, charge screening, and strain relaxation. These results establish processing guidelines for integrating freestanding ferroelectrics into future devices.

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Reference graph

Works this paper leans on

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Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.

[1] [1]

Xiong, W

C. Xiong, W. H. P. Pernice, J. H. Ngai, J. W. Reiner et al., Active Silicon Integrated Nanophotonics: Ferroelectric BaTiO3 Devices. Nano Letters 14 (3), 1419-1425 (2014) 9

2014

[2] [2]

Baek, C.-B

S.-H. Baek, C.-B. Eom, Epitaxial integration of perovskite-based multifunctional oxides on silicon. Acta Materialia 61(8), 2734-2750 (2013)

2013

[3] [3]

Vila-Fungueiriño et al., Integration of functional complex oxide nanomaterials on silicon

José M. Vila-Fungueiriño et al., Integration of functional complex oxide nanomaterials on silicon. Frontiers in Physics 3 (2015)

2015

[4] [4]

D. Lu, D. Baek, S. Hong et al., Synthesis of freestanding single-crystal perovskite films and heterostructures by etching of sacrificial water-soluble layers. Nature Mater. 15, 1255–1260 (2016)

2016

[5] [5]

Pesquera et al., Freestanding complex-oxide membranes

D. Pesquera et al., Freestanding complex-oxide membranes. J. Phys.: Condens. Matter 34 383001 (2022)

2022

[6] [6]

L. Han, G. Dong, M. Liu, Y . Nie, Freestanding Perovskite Oxide Membranes: A New Playground for Novel Ferroic Properties and Applications . Adv. Funct. Mater. 34, 2309543 (2024)

2024

[7] [7]

F. M. Chiabrera, S. Y un, Y . Li, R. T. Dahm, H. Zhang et al., Freestanding Perovskite Oxide Films: Synthesis, Challenges, and Properties. ANNALEN DER PHYSIK 534, 2200084 (2022)

2022

[8] [8]

Varshney, et al., Hybrid Molecular Beam Epitaxy for Single-Crystalline Oxide Membranes with Binary Oxide Sacrificial Layers

S. Varshney, et al., Hybrid Molecular Beam Epitaxy for Single-Crystalline Oxide Membranes with Binary Oxide Sacrificial Layers. ACS Nano 18 (8), 6348-6358 (2024)

2024