Elastic Anomaly of Thin Neon Film

Katsuyuki Yamashita; Keiya Shirahama; Michihiro Tagai; Takahiko Makiuchi; Yusuke Nago

REVIEW 3 major objections 6 minor 31 references

Elastic Anomaly of Thin Neon Film

T0 review · 3 major / 6 minor · reviewed 2026-08-14 · deepseek-v4-flash

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Pith's one-line read Thin neon films on porous glass stiffen at low temperatures, with the dissipation peak pinned near 5 K independent of coverage, indicating a classical crossover without a quantum phase transition.

desk verdict First systematic look at neon film elasticity on porous glass; the raw stiffening crossover is real, the model fit is not, and the paper is worth refereeing with revision. read the letter →

arxiv 1908.06787 v1 pith:AUS7J7D7 submitted 2019-08-19 cond-mat.str-el cond-mat.mes-hall

Takahiko Makiuchi , Katsuyuki Yamashita , Michihiro Tagai , Yusuke Nago , Keiya Shirahama This is my paper · ORCID

classification cond-mat.str-elcond-mat.mes-hall

keywords neonfilmselasticanomalytorsionaloscillatorporousglassanelasticrelaxationquantumphasetransitionthermalactivationmodeladsorbed

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 reports that thin neon films adsorbed on porous glass become abruptly stiffer as the temperature drops, with excess mechanical dissipation peaking near 5 K. The authors interpret this as a crossover from a soft, fluidlike state to a stiff, solidlike state, mirroring an elastic anomaly previously seen in helium films. Unlike helium, however, the crossover temperature does not fall toward zero as film coverage is varied. The authors conclude that neon behaves classically, with no quantum phase transition or superfluidity, and that the elastic anomaly is a generic feature of atomic or molecular films on disordered substrates.

What carries the argument

The central object is the torsional oscillator, which measures the change in resonant frequency and dissipation as neon is adsorbed; a finite-element analysis shows the frequency shift is dominated by the film's shear modulus rather than its mass. The argument's explanatory engine is the anelastic relaxation model: neon atoms occupy localized ground states separated by a distribution of energy gaps from extended states, with a thermally activated relaxation time $\tau = \tau_0 e^{E/k_B T}$. The model predicts the observed steplike increase in $2\delta f/f_0$ and the accompanying dissipation peak when $\omega\tau \approx 1$. A log-normal gap distribution and a single fitted attempt time $\tau_0$ are used to match the data.

What would settle it

A decisive test is to vary the torsional oscillator's resonant frequency by about a factor of two at fixed neon coverage and see whether the dissipation peak stays at 5 K: if it moves with frequency, the peak is a resonance artifact; if it stays, the thermal-activation interpretation is supported.

Watch

Extended reading notes

Core claim

Using a torsional oscillator, the authors measured the shear modulus of neon films (coverages roughly 4 to 40 µmol/m²) on porous glass down to 1.2 K. The resonant frequency shift shows the film's elasticity increasing by up to an effective shear modulus of about 40 MPa at low temperature, while dissipation peaks at about 5 K. They fit the response with a thermal activation model in which localized atoms are thermally excited into extended states with a distribution of energy gaps; the fit reproduces both the stiffening and the dissipation, though it requires an unphysically small attempt time. The central claim is that the dissipation peak temperature saturates at roughly 5 K independent of coverage, in contrast to helium where the peak temperature vanishes at a critical coverage marking a quantum phase transition. From this the authors conclude that neon films are classical and that the elastic anomaly is universal.

Load-bearing premise

The broad dissipation peak at about 5 K used to define the crossover is an intrinsic anelastic response of the neon film, not a spurious resonance arising from mechanical coupling between the oscillator and a film or porous-glass vibration mode.

Editorial extensions

If this is right

If the anomaly is universal, helium's elastic anomaly is not a fingerprint of superfluidity or a quantum phase transition, and similar stiffening should appear in other adsorbed films such as hydrogen, which the authors state they have observed.
Above roughly one monolayer, the dissipation peak's height saturates while the low-temperature elasticity still grows, implying that only the layer in contact with the substrate contributes to dissipation.
The crossover to the soft state resembles a dynamic glass transition, so cooling-rate or frequency-dependent measurements could test whether neon films exhibit glassy dynamics.
The phase diagram of neon on porous glass has only two effective states, stiff and soft, contrasting with the multiple phases seen on graphite.

Reading between the lines

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

If the 5 K peak reflects the film's intrinsic glassy dynamics rather than a mechanical resonance, the coverage independence implies that the relevant energy barrier is set by the neon–porous-glass interaction, not by film thickness; this could be tested by varying pore size or using a different disordered substrate.
The unphysically small attempt time found in the fit may indicate that the two-state thermal activation picture is incomplete; a distribution of relaxation times or a non-Arrhenius law might describe the crossover better and could be tested by measuring how the peak shifts with oscillator frequency.
The apparent universality on disordered substrates suggests that torsional-oscillator stiffening could serve as a general probe of supercooled liquid dynamics in nanoconfinement, beyond the specific case of neon.

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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 systematic elasticity measurements of neon films on porous glass, and the core observation is visible in the raw data: below about 10 K the torsional frequency stiffens by a coverage-dependent amount and a dissipation peak sits near 5 K. That is new. The comparison with helium films is the right frame, and the coverage-independent Tp for neon, in contrast to helium's Tp trending to zero, is a real result if the peak assignment holds. The paper also deserves credit for flagging that its own thermal-activation fit gives tau0 = 4 fs and tau0*Delta below h, i.e. unphysical parameters. Most authors would have hidden that.

Where are the soft spots? The fit-Q model is not load-bearing for the main claim; the anomaly is read directly off the data, and the fit is an attempt to quantify it. Still, the fit being unphysical matters because the authors use it to claim the anomaly has the same mechanism as helium. That inference is weaker than they present. More importantly, the claim about the classical/quantum distinction rests on the shape of Tp(n) below 10 µmol/m2, and there is only one usable coverage there, n = 4.5 ± 1.0 µmol/m2, with Tp around 11 K. One uncertain point is a thin reed for the statement that Tp "strongly depends on coverage" below 10 µmol/m2. The stress-test worry about resonant coupling from the sharp anticrossing peaks in Sect. 3.2 is, on reading the paper, less serious than it sounds. Those peaks are sharp, appear at 16–25 K, and show an anticrossing in the frequency; the 5 K anomaly is broad, reproducible, and has a monotonic f shift. A coupled mode would not naturally give a broad Debye-like peak. So I do not think the central observation is undermined, but the paper should explicitly address why the 5 K peak is not the same phenomenon.

Other minor issues: negative deltaQ^-1 below 3 K is dismissed as also seen in helium, which is a bit hand-wavy; the log(T) "extra background" subtracted before fitting is another free parameter; and the phase diagram in Fig. 5 has very few low-coverage points. The paper would be strengthened by releasing raw data and by separating the model-dependent parameter discussion from the direct observation. The self-citation to the earlier helium work is legitimate since that is the same technique and the comparison is the point.

This paper is for people working on adsorbed films, 2D quantum solids, and low-temperature torsional oscillator measurements. It deserves a serious referee. I would send it out, probably asking for revision rather than accepting as-is.

Referee Report

3 major / 6 minor

Summary. The manuscript reports torsional oscillator measurements of thin neon films adsorbed on porous glass (Gelsil) from 1.2 K to about 25 K. For coverages above 10 µmol/m², the resonant frequency increases below about 10 K and an accompanying dissipation peak appears at T_p ≈ 5 K. The authors interpret this as an anelastic crossover from a high-temperature fluidlike soft state to a low-temperature solidlike stiff state. They compare this behavior with their earlier helium film data, where T_p approaches zero at a critical coverage, and conclude that neon films behave classically, exhibiting neither a quantum phase transition nor superfluidity. They further propose that the elastic anomaly is probably a universal phenomenon of atomic or molecular films adsorbed on disordered substrates.

Significance. The raw frequency and dissipation data provide direct evidence of a reproducible stiffening crossover with a dissipation peak, and the authors are commendably transparent about problematic aspects of their analysis, including the unphysical thermal-activation fit parameters and the unexplained sharp anticrossing features. If the 5 K dissipation peak is an intrinsic anelastic response of the neon film, the result is significant because it demonstrates that the elastic anomaly occurs in a non-superfluid, weakly quantum adsorbate, thereby decoupling the anomaly from superfluidity and quantum phase transitions. The universality claim is directly falsifiable by experiments with other adsorbates or different disordered substrates, which adds to the paper's value.

major comments (3)

[Section 3.2, inset of Fig. 3(a)] The manuscript documents sharp dissipation peaks accompanied by resonant-frequency anticrossing in the 13–35 µmol/m² coverage range and states that this resonant coupling of a vibration mode in the neon film or porous glass to the torsional oscillator remains unexplained. The central conclusion that T_p saturates at about 5 K and therefore that neon films do not show a quantum phase transition assumes that the broad 5 K dissipation peak is an intrinsic anelastic response of the neon film. The authors should rule out a mechanical-coupling origin for this peak by providing concrete evidence, such as a demonstration that no frequency anomaly or anticrossing appears at T_p, a check of whether T_p is independent of the torsional oscillator's resonance frequency, or a showing that the peak amplitude evolves with coverage in a manner unlike a fixed vibrational mode.
[Section 3.3, fit-Q parameters] The fit-Q analysis yields tau_0 = 4 fs and Delta/k_B = 122 K, and the authors correctly note that the product tau_0*Delta is smaller than Planck's constant, violating the time-energy uncertainty relation. This is a load-bearing quantitative failure of the proposed thermal activation model for neon. Because the model is used to infer an energy distribution and to draw comparisons with helium films, the manuscript should either identify a physical mechanism that could produce such a small apparent attempt time or explicitly state that the model is inadequate for neon and withdraw the quantitative fit parameters as evidence for a gapped energy spectrum.
[Section 3.3, Fig. 6] The fitting to the dissipation data is performed after subtracting an 'extra background proportional to log(T)' from delta_Q^-1, but no independent measurement or physical justification for this background is provided. Because this subtraction is a fitted degree of freedom, the visual agreement of fit-Q with the dissipation data is partly built into the analysis. The authors should show the unsubtracted data and the form of the extra background, and discuss how the fitted parameters and the extracted T_p are affected by including or omitting this background.

minor comments (6)

[Fig. 4 caption] The caption writes '2δ(Tmin)/f0' but should be '2δf(Tmin)/f0' for consistency with the text.
[Section 2.2] The first two intended coverages (5 and 8 µmol/m²) were not properly prepared, and the reported n = 4.5 ± 1.0 µmol/m² has a large uncertainty. The single T_p ≈ 11 K point at this coverage should be presented with this caveat more prominently, as it anchors the steeply coverage-dependent part of the phase diagram.
[Section 3.2, paragraph beginning 'The disorder in δQ−1 at 20 K'] The claim that the disorder in δQ−1 at 20 K 'synchronizes with the pressure rise due to the melting of solid neon outside the PG' is not supported by any displayed pressure data; either show the pressure trace or remove this assertion.
[Eq. (8) and surrounding text] The log-normal distribution F(E) is defined inline in the text; it would be clearer to display the function explicitly as an equation, since it is central to the fitting procedure.
[Reference [11]] Reference [11] cites unpublished results on hydrogen films; please label it as 'in preparation' or provide a preprint identifier so that the universality statement in the Conclusions is verifiable.
[Section 3.4, final paragraph] The statement that 'there are only two phases in neon films adsorbed on PG' is inferred solely from the elastic anomaly; consider softening this to 'the elastic response indicates only two states' to avoid overinterpreting a single probe.

Circularity Check

0 steps flagged · score 0.0 of 10

No circular reasoning found: the central Tp observation is read directly from the data, the thermal-activation fit is used only as a fit, and self-citations refer to independent helium-film measurements.

full rationale

The paper's main claims—that the dissipation peak temperature Tp saturates near 5 K for neon films and that this implies classical behavior with no quantum phase transition—are derived from direct experimental observations of f(T) and Q^-1(T) after background subtraction (Eqs. (4) and (5)). Tp is defined as the temperature of the measured δQ^-1 peak, not as a model output. The thermal-activation model of Sect. 3.3 is applied to fit the neon data, and the authors explicitly report the best-fit parameters, including the physically implausible τ0 ≈ 4 fs and τ0Δ below ℏ. This is a fit, not a prediction, and the paper does not claim the model independently predicts Tp. The comparison with helium films cites the authors' prior work (ref. 7), but that is an independent measurement on a different adsorbate, and the neon data are analyzed with the same definitions without being forced to match the helium result. The universality statement is supported by the present neon measurement and by separate unpublished hydrogen-film measurements (ref. 11); while the hydrogen data are not shown, this is a report of additional independent observations, not a circular derivation. No equation or fitted parameter is renamed as a prediction, and no load-bearing claim reduces to its own input by construction. The unexplained anticrossing peaks in Sect. 3.2 are a correctness or interpretation risk, not a circularity, because the 5 K peak is distinct from those sharp high-temperature features and its identification as intrinsic is an experimental inference rather than a model tautology. Overall, the derivation chain is self-contained and the paper earns a circularity score of 0.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The central experimental observation does not depend on many free parameters, but the model interpretation introduces four fitted parameters per coverage, one of which is unphysical. The analysis also assumes the validity of the FEM calibration, background subtraction, and the transferability of the helium-based criterion for identifying a quantum phase transition.

free parameters (5)

attempt time τ0 = 0.4 ns (fit-f) or 4 fs (fit-Q) at n=18 µmol/m2
Fitted to frequency and dissipation data via Eqs. (6)-(8). The fit-Q value is unphysically small and violates the time-energy uncertainty relation, as the authors state.
median energy gap Δ/kB = 64 K (fit-f) or 122 K (fit-Q) at n=18 µmol/m2
Fitted parameter in the log-normal energy distribution. Differs by about a factor of two between the two fitting strategies.
log-normal width σ = 0.25 (fit-f) or 0.21 (fit-Q) at n=18 µmol/m2
Fitted to broaden the dissipation peak to match the observed temperature width.
relaxed shear modulus δG/G0 = 5.9 × 10^-4 at n=18 µmol/m2
Amplitude of the elastic shift in the anelastic relaxation model, fitted to the data.
extra dissipation background proportional to log(T) = coefficient not specified
Ad hoc background subtracted from δQ^-1 before fitting; introduced in Section 3.3 and Figure 6 without a physical justification.

assumptions (4)

domain assumption Anelastic relaxation with a log-normal distribution of activation energies (Eqs. 6-8) describes the neon film response.
The model is taken from helium film work and Reppy et al. and is applied to neon in Section 3.3, but the fit yields unphysical τ0 values.
domain assumption The FEM relation in Eq. (2) between resonant frequency shift and shear modulus change, derived for the helium-filled rod, holds for neon films.
The conversion of 2δf/f0 to δGg relies on this simulation referenced to ref 7; it is not re-derived for neon and the linearity is stated but not shown.
ad hoc to paper The n=0 trace is an adequate background for all neon coverages, and high-temperature offsets plus a log(T)-proportional extra dissipation can be subtracted.
Sections 3.2 and 3.3. The extra background is introduced solely to make the fit work, and its physical origin is not explained.
domain assumption A quantum phase transition in a neon film would be signaled by Tp decreasing to zero at a critical coverage, as in helium films.
Section 4 uses the constancy of Tp to conclude that no quantum phase transition exists; this assumes that the helium phenomenology transfers directly to neon.

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Cite this review

Pith. "Pith review of Elastic Anomaly of Thin Neon Film." pith.science (2026). https://pith.science/paper/AUS7J7D7

@misc{pith2026190806787,
  author       = {Pith},
  title        = {Pith review of: Elastic Anomaly of Thin Neon Film},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/AUS7J7D7}},
  note         = {Machine review of arXiv:1908.06787}
}

read the original abstract

Adsorbed molecular films provide two-dimensional systems that show various emergent phenomena that are not observed in bulk counterparts. We have measured the elasticity of thin neon films adsorbed on porous glass down to 1 K by the torsional oscillator technique. The shear modulus of a neon film anomalously increases at low temperatures with excess dissipation. This behavior indicates a crossover from a soft (fluidlike) state at high temperatures to a stiff (solidlike) state at low temperatures. The temperature dependence of the anomaly is qualitatively similar to that of the elastic anomaly of helium films found in our recent study. The dissipation peak temperature, however, becomes constant at about 5 K, contrary to the case of helium, in which it decreases to 0 K at a critical coverage of a quantum phase transition between a gapped localized phase and a mobile (superfluid) phase. It is concluded that neon films behave as a classical system that does not show a quantum phase transition or superfluidity, although the films may be strongly supercooled to temperatures much lower than the bulk triple point, 24.6 K. Our results suggest that the elastic anomaly is a universal phenomenon of atomic or molecular films adsorbed on disordered substrates.

Figures

Figures reproduced from arXiv: 1908.06787 by the authors.

**Figure 1.** (Color online) Cross-sectional view of the TO. A porous glass (PG) rod is inside a thin BeCu tube. A brass bob is suspended from the rod. The TO is mounted on a massive copper platform with six screws (not shown). Neon gas was added through the gas inlet in the platform and the TO. brass bob, which also acts as an electrode for driving and detecting the torsional oscillation. The PG rod was covered by a thin BeCu t… view at source ↗

**Figure 3.** The normalized frequency shift 2δ f / f0 is almost constant at high and low temperatures, and changes in the temperature range between 3 and 15 K. The peak of δQ −1 is located at the inflection point of δ f . We define the temperature at the δQ −1 peak as Tp. At n = (4.5 ± 1.0) µmol/m2 , Tp ≃ 11 K, whereas at higher coverages, Tp stays at about 5 K with a slight coverage dependence. The low-temperature limit of t… view at source ↗

**Figure 5.** (Color online) Phase diagram of neon film determined from the dissipation peak temperature Tp. surements of 13–35 µmol/m2 . The temperature of sharp dissipation peak ranged from 16 to 25 K and had no systematic dependence on the coverage. The resonant frequencies on both temperature sides of the anticrossing have little difference. From comparisons of the f-curves with and without anticrossing [an example is sho… view at source ↗

Figures from the paper (4 more)

**Figure 3.** Figure 3: (Color online) Temperature dependence of (a) normalized resonant frequency shift 2δ f / f0 and (b) excess dissipation δQ −1 for selected coverages. The definitions of these quantities are given by Eqs. (4) and (5). The base frequency f0 is taken to be 859.133 Hz for a…

**Figure 4.** Figure 4: (Color online) Coverage dependence of the normalized resonant frequency shift at Tmin ≃ 1.2 K and the energy dissipation at Tp. Closed circles are 2δ(Tmin)/ f0 determined using Eq. (4), and open circles are corrected values (see the text). Solid lines are linear fitti…

**Figure 6.** Figure 6: (Color online) Experimental data with n = 18 µmol/m2 and results of fittings using Eq. (8). The experimental data of 2δ f / f0 are vertically shifted. Closed circles of δQ −1 data were determined using Eq. (5), and open circles are data from which an extra background …

**Figure 5.** Figure 5: The dissipation peak temperature strongly depends o [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]

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Reference graph

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Pith tools

Reviewed August 14, 2026 · model on record in the stance chip above.

[1] [1]

less quan- tum

Introduction Adsorption is a ubiquitous phenomenon in everyday life, but understanding and controlling adsorption is still a cha l- lenging issue in both basic science 1) and modern technolo- gies such as hydrogen storage 2) and gas sensors. 3) In con- densed matter physics, adsorption of molecules on a solid surface has been utilized to produce two-dimen...

work page

[2] [2]

1 with a pho- tograph of a PG sample

Experimental Procedure 2.1 T orsional oscillator We employed the same TO as that used in the studies on helium.7) The TO is schematically shown in Fig. 1 with a pho- tograph of a PG sample. The TO consists of a torsion rod con- taining a PG sample (5.4 mm in diameter, 17 mm long) and a 1 J. Phys. Soc. Jpn. FULL PAPERS PG rod in tube Brass bob Copper platf...

work page

[3] [3]

2, we show the raw data of frequency f and dissi- pation Q−1 at n = 0 and 10

Results and Analysis 3.1 Elastic anomaly In Fig. 2, we show the raw data of frequency f and dissi- pation Q−1 at n = 0 and 10 . 0 µmol/ m2. All the data shown in this paper were acquired during warming runs. The cooling trace was identical to the warming one. At n = 0, f mono- tonically increases with decreasing T , while Q−1 decreases down to 5 K, then s...

work page

[4] [4]

A number of characteristics are found from the data sets in Fig

The contributions from the slight shifts at high temperatures are small in both 2 δf (T )/ f0 and δQ−1(T ) compared with the overall temperature dependence. A number of characteristics are found from the data sets in Fig. 3. The normalized frequency shift 2 δf / f0 is almost con- stant at high and low temperatures, and changes in the tem- perature range b...

work page

[5] [5]

There exists, ho w- ever, an important di ﬀerence

Discussion At each coverage, the elastic anomaly of neon ﬁlms is qual- itatively identical to that of helium ﬁlms. There exists, ho w- ever, an important di ﬀerence. In each phase diagram of 4He and 3He ﬁlms, 7) Tp approaches 0 K and the vanishing point is the critical coverage, nc ≃ 20 µmol/ m2. Hence, the elastic anomaly of helium ﬁlms is linked to the ...

work page

[6] [6]

The elastic anomaly is qualitatively identical to t hat of helium ﬁlms

Conclusions We found that neon ﬁlms on porous glass exhibit an elastic anomaly, in which the elasticity increases with excess diss i- pation. The elastic anomaly is qualitatively identical to t hat of helium ﬁlms. The elasticity at the lowest temperature and th e height of the dissipation peak are proportional to the cover age with an oﬀset up to certain ...

work page

[7] [7]

Tao and A

J. Tao and A. M. Rappe, Phys. Rev. Lett. 112, 106101 (2014)

work page 2014

[8] [8]

D. P . Broom, Hydrogen Storage Materials (Springer-V erlag, London, 2011)

work page 2011