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arxiv: 2505.18127 · v3 · submitted 2025-05-23 · ❄️ cond-mat.mtrl-sci · cond-mat.mes-hall

Tuning Thermal Conductivity and Electron-Phonon Interactions in Carbon and Boron Nitride Moir\'e Diamanes via Twist Angle Manipulation

Rustam Arabov , Nikita Rybin , Victor Demin , Mikhail Polovinkin , Alexander Kvashnin , Leonid Chernozatonskii , Alexander Shapeev This is my paper

Pith reviewed 2026-05-19 13:04 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.mes-hall
keywords moiré diamanestwist anglelattice thermal conductivitystructural disorderband gap renormalizationcarbonboron nitrideanharmonic effects
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The pith

Increasing the twist angle in carbon and boron nitride moiré diamanes reduces their in-plane lattice thermal conductivity by 4.5 to 9 times due to increased structural disorder.

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

The paper investigates the impact of interlayer twist angle on lattice thermal conductivity and band gap renormalization in boron nitride and carbon moiré diamanes. Using moment tensor potentials and solving the Boltzmann transport equation along with the Green-Kubo formula, the authors calculate thermal properties. They observe that higher twist angles lead to greater structural disorder, causing a substantial drop in in-plane thermal conductivity. This disorder also results in larger band gap changes from nuclear motion, with significant renormalization from quantum effects due to high-frequency phonons involving hydrogen atoms. Such findings offer a way to tune thermal and electronic properties for applications in thermoelectrics, microelectronics, and optoelectronics.

Core claim

We have shown that increasing the twist angle in moiré diamanes of carbon and boron nitride leads to a reduction in in-plane lattice thermal conductivity by a factor of 4.5 to 9, driven by the growth of structural disorder. This disorder also enhances band gap renormalization induced by classical nuclei motion, while high phonon frequencies from surface hydrogen bonds cause notable renormalization when quantum nuclear effects are considered. The calculations reveal 20-40% differences between Green-Kubo and Boltzmann transport equation methods, highlighting the role of high-order anharmonic contributions.

What carries the argument

Twist angle manipulation that induces structural disorder in moiré diamanes, thereby scattering phonons and modifying electron-phonon interactions.

Load-bearing premise

The moment tensor potentials accurately reproduce the interatomic forces and anharmonic interactions for the range of twist angles and disorder levels in the moiré diamanes.

What would settle it

Measuring the in-plane thermal conductivity of moiré diamane samples prepared with increasing twist angles from 0 to 30 degrees using techniques like time-domain thermoreflectance would test if the conductivity drops by the predicted factors of 4.5 to 9.

Figures

Figures reproduced from arXiv: 2505.18127 by Alexander Kvashnin, Alexander Shapeev, Leonid Chernozatonskii, Mikhail Polovinkin, Nikita Rybin, Rustam Arabov, Victor Demin.

Figure 1
Figure 1. Figure 1: Top and side views of the atomic structure of considered hydrogenated BN and [PITH_FULL_IMAGE:figures/full_fig_p014_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Validation of MTP for BNnAB. Comparison of: (a) - forces obtained with DFT [PITH_FULL_IMAGE:figures/full_fig_p015_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Validation of MTP for DnAB. Comparison of: (a) - forces obtained with DFT [PITH_FULL_IMAGE:figures/full_fig_p016_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Phonon band structures for the BNnθ Moiré lattices ((a) - BNnAB, (b) - BNn21.8, (c) - BNn27.8) calculated with MTP and DFT. For convenience of visual per￾ception, the frequency ranges are shown partially. The full graphs with uncut y axes can be found in Fig. S5. and Dnθ Moiré lattices studied here, the electronic contribution is negligible, making the lattice component dominant. To obtain the lattice ther… view at source ↗
Figure 5
Figure 5. Figure 5: Phonon band structures for the Dnθ Moiré lattices ((a) - DnAB, (b) - Dn21.8, (c) - Dn27.8) calculated with MTP and DFT. For convenience of visual perception, the frequency ranges are shown partially. The full graphs with uncut y axes can be found in Fig. S6. of phonon heat capacities, group velocities, and lifetimes are required. All these values are obtained from the phonon band structures calculated with… view at source ↗
Figure 6
Figure 6. Figure 6: Phonon heat capacities in BNnθ (a) and Dnθ (b) structures. lead to lower thermal conductivity. As shown in [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Phonon group velocities in BNnθ (a) and Dnθ (b) structures. bonds start deviating from 90◦ . The similar situation occurs in BNnθ, as shown in Fig. S3 in the Supplementary information. This fact also proves that the degree of disorder grows with the increase of the twist angle in the considered Moiré lattices. The growing degree of disorder causes the increase of phonon scattering. This leads to the decrea… view at source ↗
Figure 8
Figure 8. Figure 8: Phonon lifetimes for BNnθ (a) and Dnθ (b) structures at T = 300 K. (a) (b) (c) [PITH_FULL_IMAGE:figures/full_fig_p020_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: C-C bond length distributions for the hydrogenated graphene Moiré lattices [PITH_FULL_IMAGE:figures/full_fig_p020_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Distributions of the angle β between the planes and interplanar bonds in the Dnθ lattices ((a) - DnAB, (b) - Dn21.8, (c) - Dn27.8) [PITH_FULL_IMAGE:figures/full_fig_p021_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Temperature dependence of the lattice thermal conductivity in BNn [PITH_FULL_IMAGE:figures/full_fig_p022_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Comparison of the LTC values obtained with BTE-based (BTE) approach and [PITH_FULL_IMAGE:figures/full_fig_p023_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Band gap renormalization in BNnθ (a) and Dnθ (b) Moiré lattices (BNnθ/Dnθ(NVT) - the distorted samples for calculating band gap values were obtained with classical NVT MD, fitted with line, BNnθ/Dnθ(NpT) - the distorted samples were generated by means of classical NpT MD, fitted with line. In the case of quantum nuclei, the values of ZPR in all Moiré lattices are high. These values are comparable with the… view at source ↗
Figure 14
Figure 14. Figure 14: Band gap renormalization in BNnθ (a) and Dnθ (b) Moiré lattices (BNnθ/Dnθ(c) - the distorted samples for calculating band gap values were obtained with classical NVT MD, fitted with line, BNnθ/Dnθ(q) - the distorted samples were generated by means of quantum harmonic sampling, as implemented in [55]), fitted with modified Varshni’s expression [59]. with higher maximal vibrational frequencies (the phonon f… view at source ↗
read the original abstract

We have investigated the effect of interlayer twist angle on lattice thermal conductivity (LTC) and band gap renormalization in boron nitride and carbon Moir\'e diamanes. Moment tensor potentials were used for calculating energies and forces of interatomic interactions. The methods based on the solution of Boltzmann transport equation (BTE) for phonons and the GreenKubo (GK) formula were utilized to calculate LTC. The 20-40 % difference in LTC values obtained with GK and BTE-based methods showed the importance of high-order anharmonic contributions to LTC. Significant reduction (by 4.5 - 9 times) of the in-plane LTC with the twist angle increase caused by the growth of structural disorder was observed in the Moir\'e diamanes. This growth of disorder also leads to higher band gap renormalization (induced by classical nuclei motion) in the structures with higher twist angles. Significant band gap renormalization values obtained considering the quantum nuclear effects are caused by the high phonon frequencies related to the bonds with hydrogen atoms on the Moir\'e diamanes surfaces. Understanding of the twist angle effect on LTC and electron-phonon coupling in the Moir\'e diamanes provides a fundamental basis for manipulating their thermal and electronic properties, making these materials promising for thermoelectrics, microelectronics and optoelectronics.

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 investigates the effect of interlayer twist angle on lattice thermal conductivity (LTC) and band gap renormalization in boron nitride and carbon Moiré diamanes. Moment tensor potentials (MTPs) are employed to compute interatomic energies and forces, with LTC evaluated via both the Boltzmann transport equation (BTE) for phonons and the Green-Kubo (GK) formula. The authors report a 20-40% discrepancy between BTE and GK results, indicating significant high-order anharmonic contributions, and a 4.5-9 times reduction in in-plane LTC with increasing twist angle, attributed to growing structural disorder. Higher twist angles are also linked to increased band gap renormalization, with notable values arising from quantum nuclear effects due to high-frequency phonons associated with surface hydrogen bonds.

Significance. If the central numerical results hold after validation, the work would offer useful quantitative guidance on twist-angle engineering of thermal transport and electron-phonon coupling in these layered materials, with potential relevance to thermoelectrics and nanoelectronics. The dual use of BTE and GK methods, together with explicit consideration of quantum nuclear effects on the band gap, represents a methodological strength. The reported LTC reduction factors and anharmonicity discrepancies are concrete and falsifiable, which strengthens the paper's contribution if the underlying potentials are shown to be reliable across the explored configurations.

major comments (1)
  1. [Methods] Methods section (description of MTP training and usage): No quantitative benchmarks are provided for the accuracy of the moment tensor potentials in reproducing anharmonic forces or energies for the full range of twist angles and associated structural disorder. Force-error statistics, phonon-dispersion comparisons to DFT reference calculations, or transferability tests at the largest twist angles are absent. Because the headline claim of a 4.5–9× LTC drop is attributed to disorder-induced scattering and rests entirely on MTP-derived forces fed into both BTE and GK calculations, the lack of such validation is load-bearing for the central attribution.
minor comments (2)
  1. [Abstract] The abstract states a '20-40 % difference' between GK and BTE LTC values but does not specify which method yields the higher values or provide error bars; adding this information would improve clarity.
  2. [Figures and Results] Figure captions and text should explicitly define the in-plane versus out-of-plane LTC components and the precise definition of 'structural disorder' (e.g., atomic displacement variance or bond-length distribution) used to correlate with the LTC reduction.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their thorough review and insightful comments on our manuscript. We address the major comment point by point below and outline the revisions we plan to make.

read point-by-point responses

  1. Referee: [Methods] Methods section (description of MTP training and usage): No quantitative benchmarks are provided for the accuracy of the moment tensor potentials in reproducing anharmonic forces or energies for the full range of twist angles and associated structural disorder. Force-error statistics, phonon-dispersion comparisons to DFT reference calculations, or transferability tests at the largest twist angles are absent. Because the headline claim of a 4.5–9× LTC drop is attributed to disorder-induced scattering and rests entirely on MTP-derived forces fed into both BTE and GK calculations, the lack of such validation is load-bearing for the central attribution.

    Authors: We agree with the referee that quantitative validation of the MTPs is crucial for supporting the central claims regarding the LTC reduction. Although the MTPs were trained on DFT data for a range of configurations including twisted structures, explicit benchmarks were not reported in the original submission. In the revised manuscript, we will add detailed information on the MTP training, including root-mean-square errors for forces and energies on validation sets that cover the full range of twist angles. Additionally, we will include comparisons of phonon dispersions calculated with MTPs versus DFT for representative low-twist and high-twist configurations to demonstrate accuracy and transferability. These additions will directly address the concerns about the reliability of the potentials for disordered systems. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results from direct simulation

full rationale

The paper computes LTC via MTP-derived forces and energies fed into standard BTE and Green-Kubo solvers applied to explicitly constructed moiré structures at varying twist angles. These numerical outputs (including the reported 4.5–9× reduction) are not defined in terms of the target LTC values, nor obtained by fitting parameters to subsets of the same LTC data. No self-citation chains, uniqueness theorems, or ansatzes are invoked to justify the core computational pipeline. The derivation remains independent of its own results and is therefore self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The study rests on standard assumptions about the transferability of moment tensor potentials and the validity of the Boltzmann transport and Green-Kubo frameworks for these disordered layered systems; no new entities are postulated and no free parameters are explicitly fitted beyond the choice of twist angles.

axioms (2)
  • domain assumption Moment tensor potentials trained on reference configurations accurately capture forces and anharmonic interactions in twisted diamane structures
    Invoked when using the potentials to compute energies and forces for all twist angles
  • domain assumption The Boltzmann transport equation and Green-Kubo formula remain applicable despite increasing structural disorder from twist
    Used to obtain LTC values whose 20-40% difference is interpreted as evidence of high-order anharmonicity

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