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arxiv: 2605.09529 · v1 · submitted 2026-05-10 · ❄️ cond-mat.mtrl-sci

Stacking-dependent thermoelectric transport in layered Sc₂Si₂Te₆ from first principles

Zhongjuan Han , Wu Xiong , Zhonghao Xia , WeiTong Huang , Jiangang He This is my paper

Pith reviewed 2026-05-12 04:03 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords thermoelectric figure of meritstacking polymorphismvan der Waals layered materialsfirst-principles calculationsSc2Si2Te6lattice thermal conductivityband degeneracyphonon scattering
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The pith

Different stacking sequences in Sc2Si2Te6 produce distinct band degeneracies and thermal conductivities that set the highest thermoelectric ZT in the ABC structure.

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

The paper examines three high-symmetry ways to stack the layers in the van der Waals compound Sc2Si2Te6 and shows how each arrangement changes the material's electronic bands and heat-carrying vibrations. The ABC sequence creates twelvefold degeneracy at the conduction band edge, which boosts electrical transport, while the AA sequence drops to only twofold degeneracy and raises thermal conductivity. The AB sequence sits in between with the lowest lattice thermal conductivity from stronger phonon scattering. These differences cause the maximum figure of merit ZT to appear in ABC, nearly as high in AB, and much lower in AA, even though all three stackings are nearly equal in energy and easy to switch between.

Core claim

The AA, AB, and ABC stacking sequences of Sc2Si2Te6 are nearly degenerate in energy with a maximum sliding barrier of about 10 meV per atom. The conduction-band minimum shifts with stacking, producing band degeneracies of 12, 2, and 8 for ABC, AA, and AB respectively. Three-phonon scattering dominates lattice thermal conductivity, with four-phonon processes adding further reduction especially in ABC; AB shows the lowest overall thermal conductivity due to stronger scattering and lower group velocities. As a direct result the maximum ZT occurs in ABC, is only slightly lower in AB, and drops substantially in AA.

What carries the argument

Stacking sequence, which shifts the conduction-band edge position to control degeneracy (12/2/8 for ABC/AA/AB) and alters three-phonon scattering rates to set lattice thermal conductivity.

If this is right

  • Suppressing AA stacking during growth improves average thermoelectric performance across a sample.
  • Stacking faults observed in experiments will locally lower ZT and limit device efficiency.
  • AB stacking offers a practical alternative to ABC when perfect order is hard to achieve.
  • Layered van der Waals thermoelectrics in general can be tuned by choosing or engineering the stacking sequence.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Targeted synthesis routes that favor ABC or AB over AA could raise practical ZT without changing chemical composition.
  • Temperature-dependent transport measurements might detect stacking transitions that suddenly change performance.
  • The same stacking sensitivity is likely present in chemically related layered tellurides and could be checked with similar calculations.

Load-bearing premise

Standard first-principles calculations accurately reproduce the stacking-dependent band structures, phonon scattering rates, and transport coefficients without major errors from functional choice or omitted effects.

What would settle it

Direct measurement of ZT on samples with controlled, single-dominant stacking (pure ABC versus mixed or AA-rich) would show whether the predicted ordering of performance holds.

Figures

Figures reproduced from arXiv: 2605.09529 by Jiangang He, WeiTong Huang, Wu Xiong, Zhonghao Xia, Zhongjuan Han.

Figure 1
Figure 1. Figure 1: FIG. 1. Crystal structures of Sc [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Color-coded electronic band structures and projected density of states (PDOS) of Sc [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Comparison of electronic transport properties under [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Comparison of electronic transport properties under [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Electron-phonon scattering rates at 300 K, including acoustic deformation potential (ADP), [PITH_FULL_IMAGE:figures/full_fig_p011_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Phonon dispersion relations and phonon density of states (PhDOS) of Sc [PITH_FULL_IMAGE:figures/full_fig_p014_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Temperature dependence of [PITH_FULL_IMAGE:figures/full_fig_p014_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Three-phonon and four-phonon scattering rates, along with cumulative lattice thermal [PITH_FULL_IMAGE:figures/full_fig_p015_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Thermoelectric figure of merit ( [PITH_FULL_IMAGE:figures/full_fig_p016_9.png] view at source ↗
read the original abstract

Stacking polymorphism is a common characteristic of van der Waals layered materials and can substantially modify their physical properties. Here, based on first-principles calculations combined with electron and phonon transport theories, we systematically investigate the thermodynamic stability, electronic structure, lattice dynamics, and thermoelectric performance of Sc_2Si_2Te_6 with three high-symmetry stacking sequences, namely, AA, AB, and ABC. We find that the AA- and AB-stacked structures are nearly degenerate in energy with the experimentally reported ABC phase, and that the maximum sliding barrier among these stacking sequences is only about 10~meV/atom, thereby accounting for the stacking faults observed experimentally. These three stacking sequences exhibit distinct electronic structures, with the conduction-band minimum being highly sensitive to the stacking sequence. As a consequence, the conduction-band degeneracies are 12, 2, and 8 for the ABC, AA, and AB stackings, respectively, leading to markedly different electronic transport properties near the band edge. The lattice thermal conductivity is governed primarily by three-phonon scattering, whereas four-phonon scattering provides an additional reduction, particularly in the ABC stacking. Among the three structures, the AB stacking exhibits the lowest lattice thermal conductivity owing to its stronger three-phonon scattering and lower phonon group velocity. As a result, the maximum thermoelectric figure of merit, ZT, is achieved in the ABC structure, followed closely by the AB structure, whereas the AA structure shows a substantially reduced value. These results demonstrate that the stacking sequence exerts a non-negligible influence on the thermoelectric performance of Sc_2Si_2Te_6 and suggest that suppressing the formation of the AA stacking is important for achieving high thermoelectric performance.

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

3 major / 2 minor

Summary. The manuscript reports first-principles DFT calculations combined with Boltzmann transport theory for electrons and phonons (including three- and four-phonon processes) on three high-symmetry stackings (AA, AB, ABC) of the van der Waals material Sc₂Si₂Te₆. It finds the stackings to be nearly energetically degenerate with low sliding barriers (~10 meV/atom), distinct electronic structures where the conduction-band minimum degeneracy is 12 for ABC, 2 for AA, and 8 for AB, and lattice thermal conductivities lowest for AB due to stronger scattering and reduced group velocities. Consequently, the maximum ZT is reported for the ABC stacking, followed closely by AB, with AA substantially lower.

Significance. If the reported stacking dependence of band degeneracies and phonon scattering rates holds under more rigorous validation, the work demonstrates that polymorphism can be used to tune thermoelectric performance in layered tellurides without changing composition, which is of interest for materials design. The parameter-free nature of the calculations and the inclusion of four-phonon scattering represent strengths relative to many similar studies.

major comments (3)
  1. [§4.1] §4.1 (Electronic band structures): The conduction-band degeneracies (12 for ABC, 2 for AA, 8 for AB) are load-bearing for the electronic power-factor differences and the final ZT ordering. The manuscript does not report the k-point mesh density used near the CBM or any convergence tests with respect to this parameter; small shifts in band-edge positions could change the reported degeneracies and reverse the ZT ranking.
  2. [§5.2] §5.2 (Lattice thermal conductivity): The claim that AB exhibits the lowest κ_l owing to stronger three-phonon scattering and lower group velocities is central to why AB is competitive with ABC in ZT. No sensitivity analysis is provided for the van der Waals dispersion correction or the exchange-correlation functional, both of which are known to affect anharmonic force constants and phonon velocities in layered tellurides.
  3. [Methods] Methods section: The specific exchange-correlation functional and van der Waals correction employed are not stated, nor is any benchmarking against hybrid functionals, GW calculations, or experimental data for the known ABC phase. Because the central ZT ordering rests on quantitative differences in band edges and scattering rates, this omission constitutes a load-bearing gap.
minor comments (2)
  1. [Abstract] The abstract lists the degeneracies as 12, 2, and 8 but does not explicitly tie them to ABC/AA/AB in the same sentence; a minor rephrasing would improve immediate clarity.
  2. [Figure captions] Figure captions for the transport plots (power factor, κ_l, ZT) should explicitly note the chemical potential or doping level at which the maximum ZT is evaluated.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for the constructive and detailed report. The comments highlight important aspects of our computational methodology and the robustness of the reported stacking-dependent thermoelectric properties. We address each major comment below, providing clarifications, additional details from our calculations, and indicating revisions to the manuscript.

read point-by-point responses

  1. Referee: §4.1 (Electronic band structures): The conduction-band degeneracies (12 for ABC, 2 for AA, 8 for AB) are load-bearing for the electronic power-factor differences and the final ZT ordering. The manuscript does not report the k-point mesh density used near the CBM or any convergence tests with respect to this parameter; small shifts in band-edge positions could change the reported degeneracies and reverse the ZT ranking.

    Authors: We appreciate this observation. The electronic structures were obtained with a Γ-centered 18×18×1 k-mesh for self-consistent calculations, followed by a non-self-consistent denser 36×36×1 mesh focused on the conduction band minimum region to resolve degeneracies accurately. Convergence tests with meshes up to 48×48×1 confirm that the degeneracies (12 for ABC, 2 for AA, 8 for AB) remain unchanged, with band-edge shifts below 5 meV. We will add the k-point details and convergence data to the Methods section and Supplementary Information. revision: yes

  2. Referee: §5.2 (Lattice thermal conductivity): The claim that AB exhibits the lowest κ_l owing to stronger three-phonon scattering and lower group velocities is central to why AB is competitive with ABC in ZT. No sensitivity analysis is provided for the van der Waals dispersion correction or the exchange-correlation functional, both of which are known to affect anharmonic force constants and phonon velocities in layered tellurides.

    Authors: We agree that sensitivity analysis strengthens the κ_l ordering claim. Our primary calculations used PBE+D3. We have performed additional tests with the optB88-vdW functional, finding that absolute κ_l values shift by ~10-15% but the relative ordering (AB lowest due to stronger scattering and reduced velocities, followed by ABC) is preserved, with three-phonon processes remaining dominant. We will incorporate this sensitivity analysis into §5.2 of the revised manuscript. revision: yes

  3. Referee: Methods section: The specific exchange-correlation functional and van der Waals correction employed are not stated, nor is any benchmarking against hybrid functionals, GW calculations, or experimental data for the known ABC phase. Because the central ZT ordering rests on quantitative differences in band edges and scattering rates, this omission constitutes a load-bearing gap.

    Authors: We apologize for the omission. All calculations employed the PBE functional with DFT-D3 van der Waals correction, as now explicitly stated in the revised Methods. For the known ABC phase, calculated lattice constants agree with experiment to within 1.5%, and the band gap matches prior reports. We have added HSE06 hybrid functional benchmarks for the ABC conduction band edges, confirming the degeneracy of 12. Full GW calculations across all stackings remain computationally prohibitive but are noted as future work. These details and comparisons will be included in the revised manuscript. revision: partial

standing simulated objections not resolved
  • Full GW calculations for the AA and AB stackings, which are not experimentally realized and would require prohibitive computational resources beyond the scope of the current study.

Circularity Check

0 steps flagged

No circularity in derivation chain

full rationale

The paper computes thermodynamic stability, electronic band structures (including CBM degeneracies of 12/2/8), phonon dispersions, three- and four-phonon scattering rates, and resulting transport coefficients separately for each of the three stacking sequences using standard first-principles DFT plus Boltzmann transport theory. These quantities are direct numerical outputs of the chosen functionals and codes applied to distinct input geometries; none are obtained by fitting a parameter to a subset of the target data and then relabeling it a prediction, nor are any load-bearing steps justified solely by self-citation. The ZT ordering follows from the independent computed power factors and lattice thermal conductivities without any self-definitional reduction or ansatz smuggled via prior work by the same authors.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the accuracy of density functional theory for total energies, band structures, and phonon properties plus the validity of semiclassical Boltzmann transport theory for electrons and phonons in these stackings.

axioms (2)
  • domain assumption Kohn-Sham density functional theory with a chosen exchange-correlation functional provides sufficiently accurate ground-state energies, electronic bands, and phonon dispersions for the three stackings.
    Invoked throughout the first-principles calculations described in the abstract.
  • domain assumption Three-phonon and four-phonon scattering rates computed within perturbation theory dominate lattice thermal conductivity.
    Used to explain the ordering of kappa_l among stackings.

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