Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Switching graphitic polytypes in elastically coupled cavities

An Author Correction to this article was published on 12 February 2026

This article has been updated

Abstract

Graphitic polytypes—commensurate stacking variants of graphene layers—exhibit pronounced stacking-dependent properties, including intrinsic polarization, orbital magnetism and unconventional superconductivity. Previous attempts to switch between these polytypes required micrometre-scale domains and micronewton loading forces, severely limiting practical multi-ferroic functionality. Here we demonstrate fully reversible transformations of Bernal tetralayers to rhombohedral crystals down to 30-nanometre-scale dimensions, using <1 nanonewton lateral shear forces and an energy of <1 femtojoule per switching event. We achieve this by inserting an intentionally misaligned spacer, patterned by nanometre-scale cavities, between a pair of aligned bilayers. Within each cavity, the active bilayers sag to form stable single-domain polytypes, whereas outside the cavities, the layers slide freely over superlubric, incommensurate interfaces with ultralow friction. Conducting-probe force-microscopy experiments, supported by force-field calculations, reveal edge-nucleated boundary solitons that slide spontaneously to switch the commensurate domains, indicating ultralow pinning and long-range strain relaxations extending tens of nanometres beyond the islands. By engineering cavity geometries, we program elastic coupling between neighbouring islands and tune switching thresholds and trajectories. This reconfigurable slidetronic control establishes a robust route to multi-ferroic response and elastically coupled switching among distinct stacking states.

This is a preview of subscription content, access via your institution

Access options

Buy this article

USD 39.95

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Switchable graphitic polytypes in superlubric arrays.
Fig. 2: Switching dynamics for various spacer twist angles.
Fig. 3: Boundary strips between spacer-mediated stacking configurations.
Fig. 4: Coupling cavities using narrow channels.

Similar content being viewed by others

Data availability

All of the data in the experiments, calculations and analysis that support the findings of this study are included in the main paper and Methods. Any other relevant raw data are available via Zenodo at https://doi.org/10.5281/zenodo.17865017 (ref. 51).

Change history

References

  1. Li, L. & Wu, M. Binary compound bilayer and multilayer with vertical polarizations: two-dimensional ferroelectrics, multiferroics, and nanogenerators. ACS Nano 11, 6382–6388 (2017).

    Article  CAS  PubMed  Google Scholar 

  2. Wu, M. & Li, J. Sliding ferroelectricity in 2D van der Waals materials: related physics and future opportunities. Proc. Natl Acad. Sci. USA 118, e2115703118 (2021).

    Article  PubMed  PubMed Central  Google Scholar 

  3. Vizner Stern, M., Salleh Atri, S. & Ben Shalom, M. Sliding van der Waals polytypes. Nat. Rev. Phys. 7, 50–61 (2025).

    Article  Google Scholar 

  4. Fei, Z. et al. Ferroelectric switching of a two-dimensional metal. Nature 560, 336–339 (2018).

    Article  CAS  PubMed  Google Scholar 

  5. Woods, C. R. et al. Charge-polarized interfacial superlattices in marginally twisted hexagonal boron nitride. Nat. Commun. 12, 347 (2021).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  6. Yasuda, K., Wang, X., Watanabe, K., Taniguchi, T. & Jarillo-Herrero, P. Stacking-engineered ferroelectricity in bilayer boron nitride. Science 372, 1458–1462 (2021).

    Article  CAS  Google Scholar 

  7. Vizner Stern, M. et al. Interfacial ferroelectricity by van der Waals sliding. Science 372, 1462–1466 (2021).

    Article  CAS  Google Scholar 

  8. Deb, S. et al. Cumulative polarization in conductive interfacial ferroelectrics. Nature 612, 465–469 (2022).

    Article  CAS  PubMed  Google Scholar 

  9. Cao, W. et al. Polarization saturation in multilayered interfacial ferroelectrics. Adv. Mater. 36, 2400750 (2024).

    Article  CAS  Google Scholar 

  10. Wang, C., You, L., Cobden, D. & Wang, J. Towards two-dimensional van der Waals ferroelectrics. Nat. Mater. 22, 542–552 (2023).

    Article  CAS  PubMed  Google Scholar 

  11. Li, H. et al. Global control of stacking-order phase transition by doping and electric field in few-layer graphene. Nano Lett. 20, 3106–3112 (2020).

    Article  CAS  PubMed  Google Scholar 

  12. Brandon, D. et al. Nonvolatile switching of magnetism via gate-induced sliding in tetralayer graphene. Preprint at http://arxiv.org/abs/2510.00220 (2025).

  13. Aoki, M. & Amawashi, H. Dependence of band structures on stacking and field in layered graphene. Solid State Commun. 142, 123–127 (2007).

    Article  CAS  Google Scholar 

  14. Koshino, M. & McCann, E. Multilayer graphenes with mixed stacking structure: interplay of Bernal and rhombohedral stacking. Phys. Rev. B 87, 045420 (2013).

    Article  Google Scholar 

  15. Bao, W. et al. Stacking-dependent band gap and quantum transport in trilayer graphene. Nat. Phys. 7, 948–952 (2011).

    Article  CAS  Google Scholar 

  16. Koshino, M. Stacking-dependent optical absorption in multilayer graphene. New J. Phys. 15, 015010 (2013).

    Article  CAS  Google Scholar 

  17. Atri, S. S. et al. Spontaneous electric polarization in graphene polytypes. Adv. Phys. Res. 3, 2300095 (2024).

    Article  Google Scholar 

  18. Singh, A. et al. Stacking-induced ferroelectricity in tetralayer graphene. Preprint at http://arxiv.org/abs/2504.07935 (2025).

  19. McEllistrim, A., Garcia-Ruiz, A., Goodwin, Z. A. H. & Fal’ko, V. I. Spectroscopic signatures of tetralayer graphene polytypes. Phys. Rev. B 107, 155147 (2023).

    Article  CAS  Google Scholar 

  20. Beitner, D. et al. Mid-infrared mapping of four-layer graphene polytypes using near-field microscopy. Nano Lett. 23, 10758–10764 (2023).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  21. Shi, Y. et al. Electronic phase separation in multilayer rhombohedral graphite. Nature 584, 210–214 (2020).

    Article  CAS  PubMed  Google Scholar 

  22. Zhou, H. et al. Half- and quarter-metals in rhombohedral trilayer graphene. Nature 598, 429–433 (2021).

    Article  CAS  PubMed  Google Scholar 

  23. Zhou, H., Xie, T., Taniguchi, T., Watanabe, K. & Young, A. F. Superconductivity in rhombohedral trilayer graphene. Nature 598, 434–438 (2021).

    Article  CAS  PubMed  Google Scholar 

  24. Pantaleón, P. A. et al. Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene. Nat. Rev. Phys. 5, 304–315 (2023).

    Article  Google Scholar 

  25. Lu, Z. et al. Fractional quantum anomalous Hall effect in multilayer graphene. Nature 626, 759–764 (2024).

    Article  CAS  PubMed  Google Scholar 

  26. Choi, Y. et al. Superconductivity and quantized anomalous Hall effect in rhombohedral graphene. Nature 639, 342–347 (2025).

    Article  CAS  PubMed  Google Scholar 

  27. Yeo, Y. et al. Polytype switching by super-lubricant van der Waals cavity arrays. Nature 638, 389–393 (2025).

    Article  CAS  PubMed  Google Scholar 

  28. Ko, K. et al. Operando electron microscopy investigation of polar domain dynamics in twisted van der Waals homobilayers. Nat. Mater. 22, 992–998 (2023).

    Article  CAS  PubMed  Google Scholar 

  29. Gao, Y. et al. Tunnel junctions based on interfacial two dimensional ferroelectrics. Nat. Commun. 15, 4449 (2024).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  30. Yasuda, K. et al. Ultrafast high-endurance memory based on sliding ferroelectrics. Science 385, 53–56 (2024).

    Article  CAS  PubMed  Google Scholar 

  31. Bian, R. et al. Developing fatigue-resistant ferroelectrics using interlayer sliding switching. Science 385, 57–62 (2024).

    Article  CAS  PubMed  Google Scholar 

  32. Jiang, L. et al. Manipulation of domain-wall solitons in bi- and trilayer graphene. Nat. Nanotechnol. 13, 204–208 (2018).

    Article  CAS  PubMed  Google Scholar 

  33. Yankowitz, M. et al. Electric field control of soliton motion and stacking in trilayer graphene. Nat. Mater. 13, 786–789 (2014).

    Article  CAS  PubMed  Google Scholar 

  34. Dienwiebel, M. et al. Superlubricity of graphite. Phys. Rev. Lett. 92, 126101 (2004).

    Article  PubMed  Google Scholar 

  35. Roy, N. et al. Detecting the six polytypes of five-layer graphite. Adv. Mater. 37, e09947 (2025).

  36. Weston, A. et al. Atomic reconstruction in twisted bilayers of transition metal dichalcogenides. Nat. Nanotechnol. 15, 592–597 (2020).

    Article  CAS  PubMed  Google Scholar 

  37. Alden, J. S. et al. Strain solitons and topological defects in bilayer graphene. Proc. Natl Acad. Sci. USA 110, 11256–11260 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  38. Lebedeva, I. V., Lebedev, A. V., Popov, A. M. & Knizhnik, A. A. Dislocations in stacking and commensurate-incommensurate phase transition in bilayer graphene and hexagonal boron nitride. Phys. Rev. B 93, 235414 (2016).

    Article  Google Scholar 

  39. Popov, A. M., Lebedeva, I. V., Knizhnik, A. A., Lozovik, Y. E. & Potapkin, B. V. Commensurate-incommensurate phase transition in bilayer graphene. Phys. Rev. B 84, 045404 (2011).

    Article  Google Scholar 

  40. Gao, X., Ouyang, W., Kronik, L., Urbakh, M. & Hod, O. Anisotropic interlayer force fields for van der Waals interfaces: development and applications. J. Chem. Phys. 163, 041001 (2025).

    Article  CAS  PubMed  Google Scholar 

  41. Brenner, D. W., Shenderova, O. A., Stuart, S. J., Ni, B. & Sinnott, S. B. A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons. J. Phys. Condens. Matter 14, 783–802 (2002).

    Article  CAS  Google Scholar 

  42. Ouyang, W., Mandelli, D., Urbakh, M. & Hod, O. Nanoserpents: graphene nanoribbon motion on two-dimensional hexagonal materials. Nano Lett. 18, 6009–6016 (2018).

    Article  CAS  PubMed  Google Scholar 

  43. Shi, Y. et al. Soliton-like domain wall motion in sliding ferroelectrics with ultralow damping. Phys. Rev. B 112, 035421 (2025).

    Article  CAS  Google Scholar 

  44. Ke, C., Liu, F. & Liu, S. Superlubric motion of wavelike domain walls in sliding ferroelectrics. Phys. Rev. Lett. 135, 046201 (2025).

    Article  CAS  PubMed  Google Scholar 

  45. Wang, Z. & Dong, S. Polarization switching in sliding ferroelectrics: roles of fluctuation and domain wall. Phys. Rev. B 111, L201406 (2025).

    Article  CAS  Google Scholar 

  46. Zhang, S. et al. Domino-like stacking order switching in twisted monolayer–multilayer graphene. Nat. Mater. 21, 621–626 (2022).

    Article  CAS  PubMed  Google Scholar 

  47. Rejhon, M. et al. Spontaneous emergence of straintronics effects and striped stacking domains in untwisted three-layer epitaxial graphene. Proc. Natl Acad. Sci. USA 121, e2408496121 (2024).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  48. Onodera, M. et al. All-dry flip-over stacking of van der Waals junctions of 2D materials using polyvinyl chloride. Sci. Rep. 12, 21963 (2022).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  49. Li, H. et al. Electrode-free anodic oxidation nanolithography of low-dimensional materials. Nano Lett. 18, 8011–8015 (2018).

    Article  CAS  PubMed  Google Scholar 

  50. Li, Y. et al. Symmetry breaking and anomalous conductivity in a double-moire superlattice. Nano Lett. 22, 6215–6222 (2022).

    Article  CAS  PubMed  Google Scholar 

  51. Roy, N. Switching graphitic polytypes in elastically coupled cavities. Zenodo https://doi.org/10.5281/zenodo.17865017 (2025).

Download references

Acknowledgements

We acknowledge Y. Lahini for many discussions, N. S. Ravid, I. Y. Malker and P. Yanovich for laboratory support, and A. Cerreta from Park Systems for AFM support. P.Y. is supported by the Israel Academy of Sciences and Humanities & Council for Higher Education Excellence Fellowship Program for International Postdoctoral Researchers. K.W. and T.T. acknowledge support from the JSPS KAKENHI (grant numbers 21H05233 and 23H02052) and World Premier International Research Center Initiative (WPI), MEXT, Japan. M.U. is grateful for generous financial support via the grant no. BSF-NSF 2023614. O.H. is grateful for the generous financial support of the Heinemann Chair in Physical Chemistry. M.B.S. acknowledges funding by the European Research Council under the European Union’s Horizon 2024 research and innovation program (‘SlideTronics’, consolidator grant agreement no. 101126257) and the Israel Science Foundation under grant nos. 319/22 and 3623/21. We further acknowledge the Centre for Nanoscience and Nanotechnology of Tel Aviv University.

Author information

Authors and Affiliations

Authors

Contributions

N. Roy conducted the experiments supported by S.S.A., Y.S., Y.Y. and N. Raab and supervised by M.B.S. P.Y. conducted the force-field calculations supervised by M.U. and O.H. K.W. and T.T. provided the hBN crystals. All authors contributed to the writing of the paper.

Corresponding authors

Correspondence to Nirmal Roy or Moshe Ben Shalom.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Nanotechnology thanks the anonymous reviewers for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Extended data

Extended Data Fig. 1 Optical image of the samples.

(a) Two pieces of bilayer graphene (BLG), (b) Monolayer graphene spacer (MLG), (c) Final sample (S1), where the purple, blue, and yellow dashed rectangles represent the boundaries of the two BLG pieces and the MLG spacer, respectively. (d-f) A second sample (S2) similar to the first one.

Extended Data Fig. 2 Friction force imaging.

(a, b) Schematic illustration of lateral photodiode signals and the torsional motion of the AFM tip during forward and backward scans. (c) Map of the lateral signal for forward and backward scans. (d) Line-cut along the dashed line in (c). (e) Friction force as a function of the loading force. (f–h) Examples of friction force calibration maps. (i) Corresponding topography map.

Extended Data Fig. 3 Comparison of Raman and current maps.

(a) Representative IV curves measured on R and B regions of two different samples. Within the same sample, a bias shift of ~15 ± 5 mV is exhibited. (b) Optical image of few-layer exfoliated graphene flakes. (c) 2D Raman map of the four-layer graphene region outlined by the purple frame in (b). (d) 2D Raman peaks corresponding to R and B polytype regions. (e) Current map of the regions shown in (c). (f) Current map of the SLAP sample. (g) Line-cut along the dashed lines in (e) and (f). (h) Current map and (i) topography of a twisted double-bilayer graphene sample, showing distinct moiré patterns of different current contrast.

Extended Data Fig. 4 SLAP sample with varying spacer thickness.

(a) Optical image of the SLAP sample (S7). The borders of top and bottom active bilayers and the spacer are marked in purple, green, and yellow, respectively. (b) Optical image of the patterned flakes showing varying thickness (1 to 4 layers of graphene) of the spacer. (c) AFM topographic image highlighting etched cavities of different sizes across regions with 1–4 layer-thick graphene spacers. (d–f) Current maps of a selected small cavity region spanning 1 L to 4 L spacer regions, taken before, during, and after switching scan. Changes in contrast corresponding to stacking polytype switching are highlighted in purple markers. (g) Sample region with an array of cavities in the 4 L and 3 L spacer and their switching behavior after high load switching scans. Subpanels 1–4 and 5–8 show low-load current maps for 4 L and 3 L cavities, respectively. Successive current maps were acquired after high load switching scans (~350 nN), demonstrating switching behavior of stacking domains in the thicker spacer region.

Extended Data Fig. 5 Spacer-thickness-dependence of moiré coupling.

(a) Current map of a sample region containing a monolayer and bilayer (misaligned ~30°) spacer, showing a visible spacer-mediated moiré pattern only in the monolayer region. (b) Corresponding topographic image.

Extended Data Fig. 6 SLAP sample with h-BN spacer.

Optical images of (a) bilayer graphene, (b) h-BN spacer with circular cavities, and (c) the final stacked heterostructure (marked as S8). (d) AFM topography of the sample surface showing four circular cavities of varying diameters. (e) Corresponding current map of the same region, revealing moiré domain patterns confined within each cavity. (f–j) Current maps of a single cavity (marked with a light blue square in panels d, e), acquired under a vertical loading force of 100 nN, show the evolution and partial motion of domain walls upon scanning in various directions. (k–m) Optical images of another SLAP sample (marked as S5) with an h-BN spacer. (n) Current map of a region with two interconnected cavities, capturing multiple dislocation lines within the channel region. (o) Corresponding topography map.

Extended Data Fig. 7 SLAP sample with twisted active bilayers.

Optical images of key fabrication steps of the sample (S9). (a) Exfoliated bilayer graphene, cut into two separate pieces, (b) A patterned monolayer spacer (with AFM topography shown in the inset), and (c) The final stacked heterostructure. (d) AFM topography and (e) the corresponding current map of the stacked region, revealing multiple cavities of varying sizes, each hosting a triangular moiré pattern. (f–k) Current maps of a single cavity under a loading force of 400 nN, with scans performed along different directions (marked by the curvy light blue arrows), reflecting motion and reconfiguration of domain walls within the moiré superlattice.

Extended Data Fig. 8 Rectangular and circular SLAP cavities.

(a) Optical images of bilayer graphene and the patterned spacer formed from the same flake. (b) The final stacked heterostructure. (c) AFM topography image of a part of the sample, showing a clean surface with circular and rectangular etched cavities. (d) Sequence of current maps, taken during five consecutive scans (1–5) over the rectangular and circular cavities, under a vertical loading force of ~10 nN. (e-g) Current maps (scans 6–8), taken under low load over a circular cavity region with a single domain of B- and R-type polytypes, following a high-load switching scan.

Supplementary information

Supplementary Information (download PDF )

Supplementary Sections 1.1–1.5 and Figs. 1–4.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Roy, N., Ying, P., Atri, S.S. et al. Switching graphitic polytypes in elastically coupled cavities. Nat. Nanotechnol. (2026). https://doi.org/10.1038/s41565-025-02121-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Version of record:

  • DOI: https://doi.org/10.1038/s41565-025-02121-w

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing