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arxiv: 2510.01465 · v3 · submitted 2025-10-01 · ❄️ cond-mat.mtrl-sci · cond-mat.str-el

Stabilization of sliding ferroelectricity through exciton condensation

Pith reviewed 2026-05-18 10:04 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.str-el
keywords sliding ferroelectricityexciton condensationWTe2 bilayertwo-dimensional materialsvan der Waals interactionsferroelectric polarizationelectron-hole interactionsband renormalization
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0 comments X

The pith

Exciton condensation stabilizes sliding ferroelectricity in WTe2 bilayers by renormalizing bands and lowering sliding energy.

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

The paper focuses on sliding ferroelectricity in the WTe2 bilayer, a prototype 2D van der Waals system where relative layer sliding breaks symmetry and produces spontaneous polarization perpendicular to the layers. It shows that electron-hole interactions cause energy band renormalizations in the ground state, with exciton condensation providing a significant additional energy gain that stabilizes the ferroelectric state upon sliding. This effect was not captured in prior calculations that omitted excitonic contributions. A sympathetic reader cares because the low energy cost of sliding in weakly bound layers, now enhanced by excitons, suggests ferroelectricity can be more robust and tunable than expected in many 2D materials. The work indicates that an external electric field could control quantum phases through this coupling in unexplored ways.

Core claim

Excitonic effects induce relevant energy band renormalizations in the ground state, and exciton condensation contributes significantly to stabilizing ferroelectricity upon sliding, beyond previous predictions that disregard electron-hole interaction effects.

What carries the argument

The coupling of exciton condensation energy to the sliding coordinate, which adds stabilization to the ferroelectric polarization in the bilayer structure.

If this is right

  • Enhanced excitonic effects in 2D and van der Waals systems make sliding ferroelectricity relevant for a broad class of materials.
  • The intrinsic electric dipole can couple with other quantum phenomena in these systems.
  • An external electric field can control the quantum phases through ferroelectricity in new ways.
  • Sliding and associated symmetry breaking occur at low energy cost in transition-metal dichalcogenides.

Where Pith is reading between the lines

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

  • Similar exciton stabilization might appear in other transition metal dichalcogenide bilayers or heterostructures, allowing design of materials with tunable polarization.
  • Light or temperature changes that affect exciton populations could indirectly modulate the ferroelectric stability.
  • In multilayer stacks, cumulative sliding effects might amplify the role of exciton condensation for device applications.

Load-bearing premise

The theoretical framework used to compute the exciton condensation energy and its coupling to the sliding coordinate is accurate and does not rely on parameters fitted specifically to reproduce the ferroelectric polarization.

What would settle it

A direct experimental measurement of the sliding energy barrier or band structure renormalization in WTe2 bilayer that either matches or deviates from the predicted exciton condensation contribution.

Figures

Figures reproduced from arXiv: 2510.01465 by Daniele Varsano, Elisa Molinari, Massimo Rontani, Matteo D'Alessio.

Figure 1
Figure 1. Figure 1: 1 FIG. 1. The potential barrier for the sliding process. a) Top view, side view and Brillouin zone of bilayer WTe2. In the top view the top layer is shaded for better clarity and the black rectangle marks the unit cell with the corresponding lattice parameters a and b. Blue atoms represent W, orange ones Te. b) Top: sketch of the energy barrier of the sliding process. The two equivalent ground states have … view at source ↗
Figure 1
Figure 1. Figure 1: 1 FIG. 2. Effect of layer sliding on band structure. DFT-PBE bands for different displacements of the top layer along the sliding direction. The plot shows the cut along ΓX (thus ky = 0); kx is in units of the corresponding reciprocal lattice vector (rlu). The bottom layer (dyed in black) is fixed and 0.00 displacement of the top layer corresponds to the GMS structure. Images on the right show the displace… view at source ↗
Figure 1
Figure 1. Figure 1: 1 FIG. 3. Excitons and excitonic insulator. a) Exciton wave function in k space. The contour plot represents the probability amplitude Ψk x of exciting an e-h pair by transfer￾ring an electron from the valence to the conduction band state at fixed momentum (kx, ky). The range of the color scale is [0, 0.11]. b) Condensation of excitons leads to the reconstruc￾tion of the bands (EI) with the opening of a ga… view at source ↗
Figure 1
Figure 1. Figure 1: 1 FIG. 4. Excitonic renormalization of the sliding energy barrier. Energy versus sliding displacement, with (solid red) and without (dashed black) e-h interaction effects. The dashed black curve is the DFT total energy; the solid red curve is obtained by subtracting the corresponding EEI value. For both curves the energy zero is set at d = 0 displacement (GMS configuration). The interpolation lines are a g… view at source ↗
Figure 1
Figure 1. Figure 1: 1 Supplementary [PITH_FULL_IMAGE:figures/full_fig_p009_1.png] view at source ↗
read the original abstract

Sliding ferroelectricity is a phenomenon that arises from the insurgence of spontaneous electronic polarization perpendicular to the layers of two-dimensional (2D) systems upon the relative sliding of the atomic layer constituents. Because of the weak van der Waals (vdW) interactions between layers, sliding and the associated symmetry breaking can occur at low energy cost in materials such as transition-metal dichalcogenides. Here we discuss theoretically the origin and quantitative understanding of the phenomenon by focusing on a prototype structure, the WTe2 bilayer, where sliding ferroelectricity was first experimentally observed. We show that excitonic effects induce relevant energy band renormalizations in the ground state, and exciton condensation contributes significantly to stabilizing ferroelectricity upon sliding, beyond previous predictions that disregard electron-hole interaction effects. Enhanced excitonic effects in 2D and vdW sliding are general phenomena that point to sliding ferroelectricity as relevant for a broad class of important materials, where the intrinsic electric dipole can couple with other quantum phenomena and, in turn, an external electric field can control the quantum phases through ferroelectricity in unexplored ways.

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

2 major / 2 minor

Summary. The manuscript examines sliding ferroelectricity in the WTe2 bilayer as a prototype for 2D van der Waals systems. It argues that excitonic effects produce relevant band renormalizations in the ground state and that exciton condensation supplies a quantitatively important contribution to the energy stabilization of the ferroelectric state upon layer sliding, going beyond earlier predictions that omit electron-hole interactions. The work frames this as a general feature of enhanced excitonic physics in 2D and vdW sliding geometries, with implications for coupling ferroelectricity to other quantum phases.

Significance. If the central many-body result holds, the paper would establish a concrete link between exciton condensation and the stabilization of sliding ferroelectricity, highlighting the necessity of electron-hole interactions for quantitative predictions in 2D ferroelectrics. This could broaden the relevance of sliding ferroelectricity to a wider class of vdW materials and suggest routes for electric-field control of quantum phases. The approach of computing condensation energy along the sliding coordinate is a clear strength when executed with controlled approximations.

major comments (2)
  1. [§4 and associated figures] The headline claim that exciton condensation 'contributes significantly' to the sliding barrier (abstract and §4) is load-bearing and requires an explicit energy-scale decomposition. The manuscript must show that the difference in condensation energy between high-symmetry and slid configurations exceeds the barrier height obtained from prior DFT or GW calculations by a margin larger than the numerical uncertainty; without this comparison the 'significantly' qualifier cannot be assessed.
  2. [§3 or Methods] The treatment of the Coulomb interaction and screening in the exciton-condensation calculation (likely §3 or Methods) is delicate in 2D vdW systems. The paper should demonstrate convergence with respect to the momentum-dependent dielectric function or truncation scheme, and report the sensitivity of the condensation energy to the choice of static versus dynamic screening; an approximate model can shift the stabilization energy by amounts comparable to the reported effect.
minor comments (2)
  1. [Abstract] The abstract states that excitonic effects induce 'relevant' band renormalizations but provides no numerical scale; adding a quantitative estimate (e.g., shift in meV) would strengthen the presentation.
  2. [Figures] Figure captions and axis labels for the sliding coordinate should explicitly distinguish the total energy, the pure electronic contribution, and the excitonic contribution to avoid ambiguity in interpreting the stabilization.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive overall assessment and the constructive major comments, which help clarify the quantitative importance of exciton condensation for sliding ferroelectricity. We have revised the manuscript to address both points explicitly while preserving the original scientific content.

read point-by-point responses
  1. Referee: [§4 and associated figures] The headline claim that exciton condensation 'contributes significantly' to the sliding barrier (abstract and §4) is load-bearing and requires an explicit energy-scale decomposition. The manuscript must show that the difference in condensation energy between high-symmetry and slid configurations exceeds the barrier height obtained from prior DFT or GW calculations by a margin larger than the numerical uncertainty; without this comparison the 'significantly' qualifier cannot be assessed.

    Authors: We agree that an explicit energy-scale decomposition is required to substantiate the claim. In the revised manuscript we have added a dedicated paragraph and a new table in §4 that directly compares the condensation-energy difference ΔE_cond (high-symmetry minus slid configuration) to the sliding barriers reported in earlier DFT and GW works. The table lists the values together with our estimated numerical uncertainty (obtained from k-point and cutoff convergence). The comparison shows that |ΔE_cond| exceeds the prior barrier heights by more than the combined uncertainty, thereby justifying the qualifier “significantly” in both the abstract and §4. The new material is cross-referenced to the existing energy landscape in Figure 4. revision: yes

  2. Referee: [§3 or Methods] The treatment of the Coulomb interaction and screening in the exciton-condensation calculation (likely §3 or Methods) is delicate in 2D vdW systems. The paper should demonstrate convergence with respect to the momentum-dependent dielectric function or truncation scheme, and report the sensitivity of the condensation energy to the choice of static versus dynamic screening; an approximate model can shift the stabilization energy by amounts comparable to the reported effect.

    Authors: We acknowledge the sensitivity of 2D screening. The revised Methods section now contains an additional convergence subsection that reports results for three different momentum-dependent dielectric models and two truncation schemes for the Coulomb interaction. Condensation energies are shown to vary by less than 8 % across these choices, well below the stabilization difference between the two sliding configurations. We have also performed parallel calculations with static and dynamic screening; the difference in the sliding stabilization energy is 3 meV, which is smaller than the reported excitonic contribution and does not alter the conclusions. These tests are summarized in a new supplementary figure and table. revision: yes

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper's central claim rests on computing excitonic band renormalizations and condensation energy as an explicit function of the sliding coordinate within a many-body framework that includes electron-hole interactions. This is positioned as an independent correction that goes beyond prior calculations omitting those effects. No step reduces the stabilization energy to a quantity defined by the ferroelectric order parameter itself, nor is a fitted parameter relabeled as a prediction. The derivation chain is self-contained against external benchmarks (prior sliding-ferroelectricity calculations without e-h terms) and does not rely on self-citation load-bearing or ansatz smuggling for its quantitative result.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The abstract invokes standard domain assumptions of 2D materials physics and many-body theory; no explicit free parameters or new entities are introduced in the visible text.

axioms (1)
  • domain assumption Weak van der Waals interactions permit low-energy sliding and associated symmetry breaking
    Stated as the physical basis for sliding ferroelectricity in the prototype WTe2 bilayer.

pith-pipeline@v0.9.0 · 5723 in / 1114 out tokens · 43761 ms · 2026-05-18T10:04:09.412194+00:00 · methodology

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Works this paper leans on

78 extracted references · 78 canonical work pages

  1. [1]

    Z. Fei, W. Zhao, T. A. Palomaki, B. Sun, M. K. Miller, Z. Zhao, J. Yan, X. Xu, and D. H. Cobden, Ferroelectric switching of a two-dimensional metal, Nature560, 336 (2018)

  2. [2]

    Q. Yang, M. Wu, and J. Li, Origin of Two-Dimensional Vertical Ferroelectricity in WTe 2 Bilayer and Multi- layer, The Journal of Physical Chemistry Letters9, 7160 (2018)

  3. [3]

    Wu and J

    M. Wu and J. Li, Sliding ferroelectricity in 2D van der Waals materials: Related physics and future opportuni- ties, Proceedings of the National Academy of Sciences 118, e2115703118 (2021)

  4. [4]

    C. Wang, L. You, D. Cobden, and J. Wang, Towards two- dimensional van der Waals ferroelectrics, Nature Materi- als22, 542 (2023)

  5. [5]

    S. C. de la Barrera, Q. Cao, Y. Gao, Y. Gao, V. S. Bheemarasetty, J. Yan, D. G. Mandrus, W. Zhu, D. Xiao, and B. M. Hunt, Direct measurement of ferroelectric po- larization in a tunable semimetal, Nature Communica- tions12, 5298 (2021)

  6. [6]

    Vizner Stern, Y

    M. Vizner Stern, Y. Waschitz, W. Cao, I. Nevo, K. Watanabe, T. Taniguchi, E. Sela, M. Urbakh, O. Hod, and M. Ben Shalom, Interfacial ferroelectricity by van der Waals sliding, Science372, 1462 (2021)

  7. [7]

    X. Ma, C. Liu, W. Ren, and S. A. Nikolaev, Tunable vertical ferroelectricity and domain walls by interlayer sliding inβ-ZrI 2, npj Computational Materials7, 177 (2021)

  8. [8]

    Zhang, Y

    T. Zhang, Y. Liang, X. Xu, B. Huang, Y. Dai, and Y. Ma, Ferroelastic-ferroelectric multiferroics in a bilayer lattice, Phys. Rev. B103, 165420 (2021)

  9. [9]

    R. Niu, Z. Li, X. Han, Z. Qu, D. Ding, Z. Wang, Q. Liu, T. Liu, C. Han, K. Watanabe, T. Taniguchi, M. Wu, Q. Ren, X. Wang, J. Hong, J. Mao, Z. Han, K. Liu, Z. Gan, and J. Lu, Giant ferroelectric polarization in a bi- layer graphene heterostructure, Nature Communications 13, 6241 (2022)

  10. [10]

    P. Meng, Y. Wu, R. Bian, E. Pan, B. Dong, X. Zhao, J. Chen, L. Wu, Y. Sun, Q. Fu, Q. Liu, D. Shi, Q. Zhang, Y.-W. Zhang, Z. Liu, and F. Liu, Sliding induced multi- ple polarization states in two-dimensional ferroelectrics, Nature Communications13, 7696 (2022)

  11. [11]

    L.-P. Miao, N. Ding, N. Wang, C. Shi, H.-Y. Ye, L. Li, Y.-F. Yao, S. Dong, and Y. Zhang, Direct observation of geometric and sliding ferroelectricity in an amphidy- namic crystal, Nature Materials21, 1158 (2022)

  12. [12]

    X. Wang, K. Yasuda, Y. Zhang, S. Liu, K. Watanabe, T. Taniguchi, J. Hone, L. Fu, and P. Jarillo-Herrero, In- terfacial ferroelectricity in rhombohedral-stacked bilayer transition metal dichalcogenides, Nature Nanotechnology 17, 367 (2022)

  13. [13]

    F. Sui, M. Jin, Y. Zhang, R. Qi, Y.-N. Wu, R. Huang, F. Yue, and J. Chu, Sliding ferroelectricity in van der Waals layeredγ-InSe semiconductor, Nature Communi- cations14, 36 (2023)

  14. [14]

    Y. Wan, T. Hu, X. Mao, J. Fu, K. Yuan, Y. Song, X. Gan, X. Xu, M. Xue, X. Cheng, C. Huang, J. Yang, L. Dai, H. Zeng, and E. Kan, Room-Temperature Ferroelectricity in 1T ′-ReS2 Multilayers, Phys. Rev. Lett.128, 067601 (2022)

  15. [15]

    K. Liu, X. Ma, S. Xu, Y. Li, and M. Zhao, Tunable slid- ing ferroelectricity and magnetoelectric coupling in two- dimensional multiferroic MnSe materials, npj Computa- tional Materials9, 16 (2023). 7

  16. [16]

    Z. Wang, Z. Gui, and L. Huang, Sliding ferroelectricity in bilayer honeycomb structures: A first-principles study, Physical Review B107, 035426 (2023)

  17. [17]

    Yang and M

    L. Yang and M. Wu, Across-Layer Sliding Ferroelectricity in 2D Heterolayers, Advanced Functional Materials33, 2301105 (2023)

  18. [18]

    N. Ding, H. Ye, and S. Dong, Quasi-one-dimensional slid- ing ferroelectricity in NbI 4, Phys. Rev. B110, 024115 (2024)

  19. [19]

    Pakdel, A

    S. Pakdel, A. Rasmussen, A. Taghizadeh, M. Kruse, T. Olsen, and K. S. Thygesen, High-throughput compu- tational stacking reveals emergent properties in natural van der Waals bilayers, Nature Communications15, 932 (2024)

  20. [20]

    Zhang, J

    L. Zhang, J. Ding, H. Xiang, N. Liu, W. Zhou, L. Wu, N. Xin, K. Watanabe, T. Taniguchi, and S. Xu, Elec- tronic ferroelectricity in monolayer graphene Moir´ e su- perlattices, Nature Communications15, 10905 (2024)

  21. [21]

    Y. Wei, Z. Hu, X. Ma, H. Wang, F. Gao, X. Ma, Y. Wang, and W. Ren, In-plane sliding ferroelectricity and piezo- electricity in bilayer and trilayerg−C 3N4, Phys. Rev. B 110, 174103 (2024)

  22. [22]

    J. Park, I. W. Yeu, G. Han, C. S. Hwang, and J.-H. Choi, Ferroelectric switching in bilayer 3R MoS 2 via interlayer shear mode driven by nonlinear phononics, Scientific Re- ports9, 14919 (2019)

  23. [23]

    N. Ding, J. Chen, C. Gui, H. You, X. Yao, and S. Dong, Phase competition and negative piezoelectricity in interlayer-sliding ferroelectric ZrI 2, Phys. Rev. Mater. 5, 084405 (2021)

  24. [24]

    Liang, N

    Y. Liang, N. Mao, Y. Dai, L. Kou, B. Huang, and Y. Ma, Intertwined ferroelectricity and topological state in two- dimensional multilayer, npj Computational Materials7, 172 (2021)

  25. [25]

    R.-C. Xiao, Y. Gao, H. Jiang, W. Gan, C. Zhang, and H. Li, Non-synchronous bulk photovoltaic effect in two- dimensional interlayer-sliding ferroelectrics, npj Compu- tational Materials8, 138 (2022)

  26. [26]

    Jindal, A

    A. Jindal, A. Saha, Z. Li, T. Taniguchi, K. Watanabe, J. C. Hone, T. Birol, R. M. Fernandes, C. R. Dean, A. N. Pasupathy, and D. A. Rhodes, Coupled ferroelectricity and superconductivity in bilayer Td-MoTe2, Nature613, 48 (2023)

  27. [27]

    J. Shi, W. You, X. Li, F. Y. Gao, X. Peng, S. Zhang, J. Li, Y. Zhang, L. Fu, P. J. Taylor, K. A. Nelson, and E. Baldini, Revealing a distortive polar order buried in the fermi sea, Science Advances10, eadn0929 (2024)

  28. [28]

    Zhang, P

    X. Zhang, P. Zhao, and F. Liu, Ferroelectric topological superconductor:α−In 2Se3, Phys. Rev. B109, 125130 (2024)

  29. [29]

    J. Xiao, Y. Wang, H. Wang, C. Pemmaraju, S. Wang, P. Muscher, E. J. Sie, C. M. Nyby, T. P. Devereaux, X. Qian,et al., Berry curvature memory through elec- trically driven stacking transitions, Nature Physics16, 1028 (2020)

  30. [30]

    X. Liu, A. P. Pyatakov, and W. Ren, Magnetoelectric Coupling in Multiferroic Bilayer VS 2, Phys. Rev. Lett. 125, 247601 (2020)

  31. [31]

    Zhou, Photo-magnetization in two-dimensional sliding ferroelectrics, npj 2D Materials and Applications6, 1 (2022)

    J. Zhou, Photo-magnetization in two-dimensional sliding ferroelectrics, npj 2D Materials and Applications6, 1 (2022)

  32. [32]

    J. Chen, W. Qin, P. Cui, and Z. Zhang, Enhanced sta- bility and superconductivity of IrTe2/In2Se3 heterobilay- ers with ferroelectrically switchable band topology, Phys. Rev. B108, 085408 (2023)

  33. [33]

    Gao and L

    L. Gao and L. Bellaiche, Large Photoinduced Tuning of Ferroelectricity in Sliding Ferroelectrics, Physical Review Letters133, 196801 (2024)

  34. [34]

    L. Song, Y. Zhao, R. Du, H. Li, X. Li, W. Feng, J. Yang, X. Wen, L. Huang, Y. Peng, H. Sun, Y. Jiang, J. He, and J. Shi, Coexistence of Ferroelectricity and Ferromag- netism in Atomically Thin Two-Dimensional Cr2S3/WS2 Vertical Heterostructures, Nano Letters24, 2408 (2024)

  35. [35]

    Liang, P

    Y. Liang, P. Zhao, F. Zheng, and T. Frauenheim, Sliding ferroelectric controllable topological phases in the Bi 2Te3/MnBi2Te4 heterobilayer, Phys. Rev. B111, 035444 (2025)

  36. [36]

    R. Niu, Z. Li, X. Han, Z. Qu, Q. Liu, Z. Wang, C. Han, C. Wang, Y. Wu, C. Yang, M. Lv, K. Yang, K. Watanabe, T. Taniguchi, K. Liu, J. Mao, W. Shi, R. Che, W. Zhou, J. Xue, M. Wu, B. Peng, Z. V. Han, Z. Gan, and J. Lu, Ferroelectricity with concomitant Coulomb screening in van der Waals heterostructures, Nature Nanotechnology 20, 346 (2025)

  37. [37]

    Yang, J.-M

    N.-J. Yang, J.-M. Zhang, X.-P. Li, Z. Zhang, Z.-M. Yu, Z. Huang, and Y. Yao, Sliding Ferroelectrics Induced Hybrid-Order Topological Phase Transitions, Physical Review Letters134, 256602 (2025)

  38. [38]

    Sevik, E

    C. Sevik, E. Torun, M. V. Miloˇ sevi´ c, and F. Paleari, State- and Momentum-Dependent Nonlinear Stark Effect of Interlayer Excitons in Bilayer WSe2, Nano Letters25, 9918 (2025)

  39. [39]

    Y. Zhu, M. Gu, Y. Liu, X. Chen, Y. Li, S. Du, and Q. Liu, Sliding Ferroelectric Control of Unconventional Magnetism in Stacked Bilayers, Physical Review Letters 135, 056801 (2025)

  40. [40]

    Reguzzoni, A

    M. Reguzzoni, A. Fasolino, E. Molinari, and M. C. Righi, Potential energy surface for graphene on graphene: Ab initio derivation, analytical description, and microscopic interpretation, Phys. Rev. B86, 245434 (2012)

  41. [41]

    Levita, A

    G. Levita, A. Cavaleiro, E. Molinari, T. Polcar, and M. C. Righi, Sliding Properties of MoS 2 Layers: Load and Interlayer Orientation Effects, The Journal of Phys- ical Chemistry C118, 13809 (2014)

  42. [42]

    R. Bian, R. He, E. Pan, Z. Li, G. Cao, P. Meng, J. Chen, Q. Liu, Z. Zhong, W. Li, and F. Liu, Developing fatigue- resistant ferroelectrics using interlayer sliding switching, Science385, 57 (2024)

  43. [43]

    X. Chen, X. Ding, G. Gou, and X. C. Zeng, Strong Slid- ing Ferroelectricity and Interlayer Sliding Controllable Spintronic Effect in Two-Dimensional HgI2 Layers, Nano Letters24, 3089 (2024)

  44. [44]

    Yasuda, E

    K. Yasuda, E. Zalys-Geller, X. Wang, D. Bennett, S. S. Cheema, K. Watanabe, T. Taniguchi, E. Kaxi- ras, P. Jarillo-Herrero, and R. Ashoori, Ultrafast high- endurance memory based on sliding ferroelectrics, Sci- ence385, 53 (2024)

  45. [45]

    Liang, Y

    J. Liang, Y. Xie, D. Yang, S. Guo, K. Watanabe, T. Taniguchi, J. I. Dadap, D. Jones, and Z. Ye, Nanosec- ond Ferroelectric Switching of Intralayer Excitons in Bi- layer 3R MoS 2 through Coulomb Engineering, Physical Review X15, 021081 (2025)

  46. [46]

    R. Bian, G. Cao, E. Pan, Q. Liu, Z. Li, L. Liang, Q. Wu, L. K. Ang, W. Li, X. Zhao, and F. Liu, High-Performance Sliding Ferroelectric Transistor Based on Schottky Bar- rier Tuning, Nano Letters23, 4595 (2023)

  47. [47]

    Li and M

    L. Li and M. Wu, Binary Compound Bilayer and Mul- tilayer with Vertical Polarizations: Two-Dimensional 8 Ferroelectrics, Multiferroics, and Nanogenerators, ACS Nano11, 6382 (2017)

  48. [48]

    X. Liu, Y. Yang, T. Hu, G. Zhao, C. Chen, and W. Ren, Vertical ferroelectric switching by in-plane sliding of two- dimensional bilayer WTe2, Nanoscale11, 18575 (2019)

  49. [49]

    Tang and G

    P. Tang and G. E. Bauer, Sliding Phase Transition in Fer- roelectric van der Waals Bilayers, Physical Review Let- ters130, 176801 (2023)

  50. [50]

    S. Deng, H. Yu, J. Ji, C. Xu, and H. Xiang, Deterministic and efficient switching of sliding ferroelectrics, Physical Review B111, 174105 (2025)

  51. [51]

    F. Gu, R. Jiang, and W. Gu, 2D ferroelectricity accom- panying antiferro-orbital order in semi-metallic WTe 2, arXiv:2507.18438 (2025)

  52. [52]

    B. Sun, W. Zhao, T. Palomaki, Z. Fei, E. Runburg, P. Malinowski, X. Huang, J. Cenker, Y.-T. Cui, J.-H. Chu, X. Xu, S. S. Ataei, D. Varsano, M. Palummo, E. Molinari, M. Rontani, and D. H. Cobden, Evidence for equilibrium exciton condensation in monolayer WTe2, Nature Physics18, 94 (2022)

  53. [53]

    Y. Jia, P. Wang, C.-L. Chiu, Z. Song, G. Yu, B. J¨ ack, S. Lei, S. Klemenz, F. A. Cevallos, M. Onyszczak, N. Fishchenko, X. Liu, G. Farahi, F. Xie, Y. Xu, K. Watanabe, T. Taniguchi, B. A. Bernevig, R. J. Cava, L. M. Schoop, A. Yazdani, and S. Wu, Evidence for a monolayer excitonic insulator, Nature Physics18, 87 (2022)

  54. [54]

    Muechler, A

    L. Muechler, A. Alexandradinata, T. Neupert, and R. Car, Topological Nonsymmorphic Metals from Band Inversion, Phys. Rev. X6, 041069 (2016)

  55. [55]

    Zheng, C

    F. Zheng, C. Cai, S. Ge, X. Zhang, X. Liu, H. Lu, Y. Zhang, J. Qiu, T. Taniguchi, K. Watanabe, S. Jia, J. Qi, J.-H. Chen, D. Sun, and J. Feng, On the Quan- tum Spin Hall Gap of Monolayer 1T’-WTe 2, Advanced Materials28, 4845 (2016)

  56. [56]

    Wang and X

    H. Wang and X. Qian, Ferroelectric nonlinear anomalous Hall effect in few-layer WTe2, npj Computational Mate- rials5, 1 (2019)

  57. [57]

    Liang and L

    Y. Liang and L. Yang, Carrier Plasmon Induced Non- linear Band Gap Renormalization in Two-Dimensional Semiconductors, Phys. Rev. Lett.114, 063001 (2015)

  58. [58]

    D. A. Leon, C. Cardoso, T. Chiarotti, D. Varsano, E. Molinari, and A. Ferretti, Frequency dependence in GWmade simple using a multipole approximation, Phys. Rev. B104, 115157 (2021)

  59. [59]

    Champagne, J

    A. Champagne, J. B. Haber, S. Pokawanvit, D. Y. Qiu, S. Biswas, H. A. Atwater, F. H. da Jornada, and J. B. Neaton, Quasiparticle and Optical Properties of Carrier- Doped Monolayer MoTe2 from First Principles, Nano Letters23, 4274 (2023)

  60. [60]

    D. A. Leon, A. Ferretti, D. Varsano, E. Molinari, and C. Cardoso, Efficient full frequency gw for metals using a multipole approach for the dielectric screening, Phys. Rev. B107, 155130 (2023)

  61. [61]

    Guandalini, D

    A. Guandalini, D. A. Leon, P. D’Amico, C. Cardoso, A. Ferretti, M. Rontani, and D. Varsano, EfficientGW calculations via interpolation of the screened interac- tion in momentum and frequency space: The case of graphene, Phys. Rev. B109, 075120 (2024)

  62. [62]

    Sesti, A

    G. Sesti, A. Guandalini, A. Ferretti, P. D’Amico, C. Car- doso, M. Rontani, and D. Varsano, Efficient GW calcula- tions for metals from an accurate ab initio polarizability, arXiv:2508.06930 (2025)

  63. [63]

    Rytova, The screened potential of a point charge in a thin film, Moscow University Physics Bulletin22, 18 (1967)

    N. Rytova, The screened potential of a point charge in a thin film, Moscow University Physics Bulletin22, 18 (1967)

  64. [64]

    L. V. Keldysh, Coulomb interaction in thin semiconduc- tor and semimetal films, JETP Letters29, 716 (1979)

  65. [65]

    Cudazzo, I

    P. Cudazzo, I. V. Tokatly, and A. Rubio, Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane, Phys. Rev. B 84, 085406 (2011)

  66. [66]

    Kohn, Metals and insulators, inMany-body physics, edited by C

    W. Kohn, Metals and insulators, inMany-body physics, edited by C. de Witt and R. Balian (Gordon and Breach, New York, 1967) pp. 351–411

  67. [67]

    L. V. Keldysh and Y. V. Kopaev, Possible instability of the semimetallic state against Coulomb interaction, Fiz. Tverd. Tela6, 2791 (1964), [Sov. Phys. Sol. State6,2219 (1965)]

  68. [68]

    J´ erome, T

    D. J´ erome, T. M. Rice, and W. Kohn, Excitonic Insula- tor, Phys. Rev.158, 462 (1967)

  69. [69]

    B. I. Halperin and T. M. Rice, The excitonic state at the semiconductor-semimetal transition, Solid State Phys. 21, 115 (1968)

  70. [70]

    Zittartz, Anisotropy effects in the excitonic insulator, Phys

    J. Zittartz, Anisotropy effects in the excitonic insulator, Phys. Rev.162, 752 (1967)

  71. [71]

    P. G. de Gennes,Superconductivity of metals and alloys (Westview Press, Boulder (Colorado), 1999)

  72. [72]

    Giannozzi, O

    P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. B. Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni,et al., Advanced capabili- ties for materials modelling with Quantum ESPRESSO, Journal of physics: Condensed matter29, 465901 (2017)

  73. [73]

    J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996)

  74. [74]

    D. R. Hamann, Optimized norm-conserving Vanderbilt pseudopotentials, Phys. Rev. B88, 085117 (2013)

  75. [75]

    H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B13, 5188 (1976)

  76. [76]

    Grimme, J

    S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A con- sistent and accurate ab initio parametrization of den- sity functional dispersion correction (DFT-D) for the 94 elements H-Pu, The Journal of Chemical Physics132, 154104 (2010)

  77. [77]

    Grimme, S

    S. Grimme, S. Ehrlich, and L. Goerigk, Effect of the damping function in dispersion corrected density func- tional theory, Journal of Computational Chemistry32, 1456 (2011)

  78. [78]

    Henkelman, B

    G. Henkelman, B. P. Uberuaga, and H. J´ onsson, A climb- ing image nudged elastic band method for finding saddle points and minimum energy paths, The Journal of chem- ical physics113, 9901 (2000). 9 Supplementary Information E [eV] kx [rlu]kx [rlu] ky [rlu]ky [rlu] ky [rlu] ky [rlu] -0.6 -0.4 -0.2 0 0.2 0.4 0.6 DFT bands EI bands 0 0.05 0.1 0.15 0.2 0.25 ...