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:

Anomalous in-plane electrical anisotropy in elemental metal nanosheets

Abstract

Two-dimensional (2D) elemental metals, often overlooked owing to their lack of switching or dielectric properties, have the potential to exhibit unique properties unachievable by their bulk counterparts if their microstructure can be controlled. Here we propose an electrodeposition method that utilizes a confined 2D template to prepare elemental metal nanosheets with an aligned grain orientation, resulting in an exceptionally high in-plane electrical anisotropy of >103. Heterogeneous nucleation is initiated and the directed growth of the metal at the cathode is controlled within a channel whose size is smaller than the critical size of the nuclei. This leads to the formation of anisotropic microstructures, and consequently, the nanosheets exhibit anisotropic electrical properties. Unlike conventional field-effect transistors, devices employing a channel with two orthogonally separated conduction paths yield an exceptional on–off switching ratio exceeding 104. Our approach offers a promising route to produce various 2D elemental metals with properties different from those observed in their bulk counterparts and highlights the potential of anisotropic metallic nanosheets as switching elements.

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

Access options

Buy this article

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

Fig. 1: Working principle and concept of 2D template-mediated electrodeposition.
Fig. 2: Structural characterization of 2D template-mediated Ni nanosheets.
Fig. 3: Electrical and structural anisotropy of 2D template-mediated Ni nanosheets.
Fig. 4: Thickness-dependent electrical properties and switching elements of 2D template-mediated Ni nanosheets.
Fig. 5: Switching properties of the all-metal three-terminal electrical switch.

Similar content being viewed by others

Data availability

The data supporting the finding of the study are available in the Article and its Supplementary Information. Source data are provided with this paper.

References

  1. Passler, N. C. et al. Hyperbolic shear polaritons in low-symmetry crystals. Nature 602, 595–600 (2022).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  2. Niu, S. et al. Giant optical anisotropy in a quasi-one-dimensional crystal. Nat. Photonics 12, 392–396 (2018).

    Article  CAS  Google Scholar 

  3. Simonov, A. & Goodwin, A. L. Designing disorder into crystalline materials. Nat. Rev. Chem. 4, 657–673 (2020).

    Article  CAS  PubMed  Google Scholar 

  4. Paull, O. et al. Anisotropic epitaxial stabilization of a low-symmetry ferroelectric with enhanced electromechanical response. Nat. Mater. 21, 74–80 (2022).

    Article  CAS  PubMed  Google Scholar 

  5. Du, L. et al. Engineering symmetry breaking in 2D layered materials. Nat. Rev. Phys. 3, 193–206 (2021).

    Article  CAS  Google Scholar 

  6. Malinowski, P. et al. Suppression of superconductivity by anisotropic strain near a nematic quantum critical point. Nat. Phys. 16, 1189–1193 (2020).

    Article  CAS  Google Scholar 

  7. MacNeill, D. et al. Control of spin–orbit torques through crystal symmetry in WTe2/ferromagnet bilayers. Nat. Phys. 13, 300–305 (2017).

    Article  CAS  Google Scholar 

  8. Haxhimali, T., Karma, A., Gonzales, F. & Rappaz, M. Orientation selection in dendritic evolution. Nat. Mater. 5, 660–664 (2006).

    Article  CAS  PubMed  Google Scholar 

  9. Chu, J.-H. et al. In-plane resistivity anisotropy in an underdoped iron arsenide superconductor. Science 329, 824–826 (2010).

  10. Sharma, A., Gambino, R. J. & Sampath, S. Anisotropic electrical properties in thermal spray metallic coatings. Acta Mater. 54, 59–65 (2006).

    CAS  Google Scholar 

  11. Zheng, P. & Gall, D. The anisotropic size effect of the electrical resistivity of metal thin films: tungsten. J. Appl. Phys. 122, 135301 (2017).

    Article  Google Scholar 

  12. Chargui, A. et al. Anisotropic thermal conductivity of nanocolumnar W thin films. Phys. Lett. A 426, 127878 (2022).

    Article  CAS  Google Scholar 

  13. Li, W.-Y., Li, C.-J. & Liao, H. Effect of annealing treatment on the microstructure and properties of cold-sprayed Cu coating. J. Therm. Spray Technol. 15, 206–211 (2006).

    Article  CAS  Google Scholar 

  14. Rivnay, J. et al. Large modulation of carrier transport by grain-boundary molecular packing and microstructure in organic thin films. Nat. Mater. 8, 952–958 (2009).

    Article  CAS  PubMed  Google Scholar 

  15. López‐Ríos, T., Briggs, A., Guillet, S., Baro, A. M. & Luna, M. Anisotropic conductivity of silver thin films grown on silicon (100) vicinal surfaces. Appl. Phys. Lett. 66, 529–531 (1995).

    Article  Google Scholar 

  16. Xin, G. et al. Microfluidics-enabled orientation and microstructure control of macroscopic graphene fibres. Nat. Nanotechnol. 14, 168–175 (2019).

    Article  CAS  PubMed  Google Scholar 

  17. Rudan, M., Brunetti, R. & Reggiani, S. Springer Handbook of Semiconductor Devices (Springer, 2022).

  18. Huang, P. Y. et al. Grains and grain boundaries in single-layer graphene atomic patchwork quilts. Nature 469, 389–392 (2011).

    Article  CAS  PubMed  Google Scholar 

  19. Watanabe, T. & Tsurekawa, S. The control of brittleness and development of desirable mechanical properties in polycrystalline systems by grain boundary engineering. Acta Mater. 47, 4171–4185 (1999).

    Article  CAS  Google Scholar 

  20. Yazyev, O. V. & Chen, Y. P. Polycrystalline graphene and other two-dimensional materials. Nat. Nanotechnol. 9, 755–767 (2014).

    Article  CAS  PubMed  Google Scholar 

  21. Yu, Q. et al. Control and characterization of individual grains and grain boundaries in graphene grown by chemical vapour deposition. Nat. Mater. 10, 443–449 (2011).

    Article  CAS  PubMed  Google Scholar 

  22. Lin, Y., Pan, J., Zhou, H. F., Gao, H. J. & Li, Y. Mechanical properties and optimal grain size distribution profile of gradient grained nickel. Acta Mater. 153, 279–289 (2018).

    Article  CAS  Google Scholar 

  23. Islam, S. M., Hernandez, T. S., McGehee, M. D. & Barile, C. J. Hybrid dynamic windows using reversible metal electrodeposition and ion insertion. Nat. Energy 4, 223–229 (2019).

    Article  CAS  Google Scholar 

  24. Menke, E. J., Thompson, M. A., Xiang, C., Yang, L. C. & Penner, R. M. Lithographically patterned nanowire electrodeposition. Nat. Mater. 5, 914–919 (2006).

    Article  CAS  PubMed  Google Scholar 

  25. Gamburg, Y. D. & Zangari, G. Theory and Practice of Metal Electrodeposition (Springer Science & Business Media, 2011).

  26. Kanani, N. Electroplating: Basic Principles, Processes and Practice (Elsevier, 2004).

  27. Martín, H. et al. Growth mode transition involving a potential-dependent isotropic to anisotropic surface atom diffusion change. gold electrodeposition on HOPG followed by STM. Langmuir 13, 100–110 (1997).

    Article  Google Scholar 

  28. Pötzschke, R. T., Gervasi, C. A., Vinzelberg, S., Staikov, G. & Lorenz, W. J. Nanoscale studies of Ag electrodeposition on HOPG (0001). Electrochim. Acta 40, 1469–1474 (1995).

    Article  Google Scholar 

  29. Gimeno, Y., Hernández Creus, A., González, S., Salvarezza, R. C. & Arvia, A. J. Preparation of 100−160-nm-sized branched palladium islands with enhanced electrocatalytic properties on HOPG. Chem. Mater. 13, 1857–1864 (2001).

    Article  CAS  Google Scholar 

  30. Vivas, L. G., Escrig, J., Trabada, D. G., Badini-Confalonieri, G. A. & Vázquez, M. Magnetic anisotropy in ordered textured Co nanowires. Appl. Phys. Lett. 100, 252405 (2012).

    Article  Google Scholar 

  31. Vivas, L. G. et al. Magnetic anisotropy in CoNi nanowire arrays: analytical calculations and experiments. Phys. Rev. B 85, 035439 (2012).

  32. Ozel, T., Bourret, G. R. & Mirkin, C. A. Coaxial lithography. Nat. Nanotechnol. 10, 319–324 (2015).

    Article  CAS  PubMed  Google Scholar 

  33. Wen, L., Xu, R., Mi, Y. & Lei, Y. Multiple nanostructures based on anodized aluminium oxide templates. Nat. Nanotechnol. 12, 244–250 (2017).

    Article  CAS  PubMed  Google Scholar 

  34. Ragone, D. V. Thermodynamics of Materials Vol. 2 (Wiley, 1994).

  35. Taberna, P. L., Mitra, S., Poizot, P., Simon, P. & Tarascon, J.-M. High rate capabilities Fe3O4-based Cu nano-architectured electrodes for lithium-ion battery applications. Nat. Mater. 5, 567–573 (2006).

    Article  CAS  PubMed  Google Scholar 

  36. Lee, J., Kim, J. & Hyeon, T. Recent progress in the synthesis of porous carbon materials. Adv. Mater. 18, 2073–2094 (2006).

    Article  CAS  Google Scholar 

  37. Zach, M. P., Ng, K. H. & Penner, R. M. Molybdenum nanowires by electrodeposition. Science 290, 2120–2123 (2000).

    Article  CAS  PubMed  Google Scholar 

  38. Braun, P. V. & Wiltzius, P. Electrochemically grown photonic crystals. Nature 402, 603–604 (1999).

    Article  CAS  Google Scholar 

  39. Kim, S. et al. Neuromorphic van der Waals crystals for substantial energy generation. Nat. Commun. 12, 47 (2021).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  40. Dennis, J. K. & Such, T. E. Nickel and Chromium Plating (Elsevier, 1993).

  41. Zhou, X. et al. Intrapore energy barriers govern ion transport and selectivity of desalination membranes. Sci. Adv. 6, eabd9045 (2020).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  42. Gilmore, C. Materials Science and Engineering Properties, SI Edition (Cengage Learning, 2014).

  43. Andrews, P. V. Resistivity due to grain boundaries in pure copper. Phys. Lett. 19, 558–560 (1965).

    Article  CAS  Google Scholar 

  44. Jokar, E., Iraji zad, A. & Shahrokhian, S. Growth control of cobalt oxide nanoparticles on reduced graphene oxide for enhancement of electrochemical capacitance. Int. J. Hydrog. Energy 39, 21068–21075 (2014).

    Article  CAS  Google Scholar 

  45. Yuan, Z. et al. Sandwich-like composites of double-layer Co3O4 and reduced graphene oxide and their sensing properties to volatile organic compounds. J. Alloys Compd. 793, 24–30 (2019).

    Article  CAS  Google Scholar 

  46. Nosé, S. A unified formulation of the constant temperature molecular dynamics methods. J. Chem. Phys. 81, 511–519 (1984).

    Article  Google Scholar 

  47. Plimpton, S. Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995).

    Article  CAS  Google Scholar 

  48. Pan, Z., Borovikov, V., Mendelev, M. I. & Sansoz, F. Development of a semi-empirical potential for simulation of Ni solute segregation into grain boundaries in Ag. Model. Simul. Mater. Sci. Eng. 26, 075004 (2018).

    Article  Google Scholar 

  49. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).

    Article  CAS  Google Scholar 

  50. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

    Article  CAS  PubMed  Google Scholar 

  51. Momma, K. & Izumi, F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr. 44, 1272–1276 (2011).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This research was supported by the Nano & Material Technology Development Program through the National Research Foundation (NRF) of Korea, funded by the Ministry of Science and ICT (RS-2024-00468995) and the Yonsei University Research Fund (Post Doc. Researcher Supporting Program) in 2022 (project no. 2022-12-0140). This study was supported by a grant from the Institute for Basic Science (IBS-R026-D1).

Author information

Authors and Affiliations

Authors

Contributions

Taehoon Kim, D.S., S.K. and W.S. designed the experiments. Taehoon Kim, D.S., S.K., G.W.K., M.L., J.B., H.R., M.K., Taeyoung Kim and J. Choi synthesized the materials. Taehoon.K., D.S., H.C., H.J.L., S.I. and W.S. fabricated the devices and performed the measurements. S.-J.S., S.Y.K., S.L., S.-R.K., J.-W.P., J.S.L. and A.W. performed the simulations. Taehoon Kim, D.S., S.K., G.W.K., J. Choi, J. Cheon and W.S. analysed the characteristics and performed the structural analysis. All authors wrote the manuscript and contributed to the overall scientific interpretation.

Corresponding author

Correspondence to Wooyoung Shim.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Synthesis thanks Teng Yang and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: Alexandra Groves, in collaboration with the Nature Synthesis team.

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 Electrical anisotropy of existing materials.

The electrical anisotropy of a material is generally determined by its atomic structure. The cubic structure, which is the most isotropic crystal system, is limited to a relatively low electrical anisotropy compared with the high anisotropy of other crystals. The greater the number of elements, the greater the possibility of anisotropy of the atomic structure. Most of the materials with higher electrical anisotropy (for example Bi2Sr2Cu2Ox, MoAlB, V2AlC, and GaTe) among the existing references contain three or more elements (> ternary). Ag, an elemental material with a cubic structure, exhibits high anisotropy (~27) owing to grain elongation, which suggests that microstructural control and grain orientation are related to the anisotropy of the symmetrical structure. The detailed descriptions of each data point are provided in Supplementary Table 1.

Extended Data Fig. 2 Nucleation and growth in 2D template-mediated electrodeposition.

(a) Distribution of electric flux (ΦE) distorted by the template. Through the finite element method simulation results, the electric flux density D (= ΦE /A; ΦE: electric flux, A: area of the surface) is observed to be localized. On a flat cathode surface without a template, electric flux exists in parallel (left). The presence of a template with a lower relative permittivity than that of the surrounding medium distorts the flux at the interface between the two media, regardless of the template shape (templates with cylindrical (1D template, middle) and cuboid-shaped voids (2D template, right)). (b) Grain growth in the 2D template restricts the interlayer space and consequently suppresses the formation of homogeneous nuclei. Within channels with sizes smaller than 2r*, nuclei that surpass the energy barrier for growth cannot be formed. Only heterogeneous nuclei on the cathode surface can attain a radius of curvature greater than r*. (c) Free energy as a function of the radius of homogeneous and heterogeneous nuclei. Points marked on the curves corresponding to states 1 to 3 depicted in (b) for homogeneous nuclei (gray open dots) and heterogeneous nuclei (blue open dots).

Extended Data Fig. 3 Characterization of 2D template-mediated Ni nanosheets with the GO template.

(a) Cross-sectional SEM image of the GO-based template obtained through cross-section polishing (CP) after electrodeposition with Ni, viewed at a tilt angle. The Ni nanosheets are highlighted in blue. (b) XPS spectra of the electrodeposited GO template. Spectra showing peaks corresponding to Ni 2p1/2 and 2p3/2 for the GO-based 2D template before (gray line) and after (blue line) Ni deposition. Two new peaks corresponding to Ni 2p3/2 and 2p1/2 appeared at the binding energies of 852.7 and 869.9 eV, respectively. (c) HAADF STEM images of the GO-based template after Ni electrodeposition.

Source data

Extended Data Fig. 4 Device performance of the all-metal three-terminal electrical switch.

(a) Current measured from the source (Is) for the analysis of the gate dependence of the all-metal three-terminal electrical switch using nine combinations of (\({{V}_{d}}^{\perp }\), \({{V}_{d}}^{\,{||}}\)). Fitting is performed using the numerical model (Is = 2\({{V}_{d}}^{\,{||}}\)/Rxx + 2\({{V}_{d}}^{\perp }\)/Ryy). Δ\({{V}_{d}}^{\perp }\)/Δlog(Is) is estimated from the slope between two measurements (between \({{V}_{d}}^{\perp }\) = 0 V and \({{V}_{d}}^{\perp }\) = 10−3 V, inset). (b) Horizontal drain-voltage (\({{V}_{d}}^{\,{||}}\)) dependence of Δ\({{V}_{d}}^{\perp }\)/Δlog(Is) estimated experimentally and calculated using the numerical model. The detailed descriptions of the calculated Δ\({{V}_{d}}^{\perp }\)/Δlog(Is) are provided in Supplementary Note 11. (c) On–off ratio of the all-metal three-terminal electrical switch based on the thickness-dependent electrically anisotropic template-mediated and isotropic sputtered Ni nanosheets. The measured thicknesses of the template-mediated Ni nanosheets prepared using the same method are 24, 45, and 57 nm. A 50-nm-thick isotropic sputtered Ni nanosheet has an on–off ratio of approximately 1.94. In comparison, a template-mediated Ni nanosheet with a thickness of 57 nm exhibits an on–off ratio of approximately 36.54. Reducing the thickness of the template-mediated nanosheet to 45 and 24 nm increases the on–off ratio to 139 and 286, respectively. All the measurements are performed at \({{V}_{d}}^{\perp }\) = \({{V}_{d}}^{\,{||}}\) = 0.01 V, and each measurement is performed for 1800 cycles.

Source data

Extended Data Fig. 5 Digital logic gates based on an all-metal three-terminal electrical switch.

(a) Schematic of an anisotropic-metal-based three-terminal device for driving a logic gate. The device has two perpendicular input terminals (IN1(\({{V}_{d}}^{\perp }\)), IN2(\({{V}_{d}}^{\,{||}}\))) and one output terminal (|Is|). (b) |Is|–\({{V}_{d}}^{\,{||}}\) curves for the IN1 = 0 (\({{V}_{d}}^{\perp }\) = 0 mV, gray curve) and IN1 = 1 (\({{V}_{d}}^{\perp }\) = ± 5 mV, blue curves) states. The blue dashed line indicates |Is|th = 4×10−8 A. (c) Numerical prediction of |Is|–\({{V}_{d}}^{\,{||}}\) curves with (\({{V}_{d}}^{\perp }\) = 5 mV) and without (\({{V}_{d}}^{\perp }\) = 0 V) \({{V}_{d}}^{\perp }\) depending on the electrical anisotropy (Rxx/Ryy). As the electrical anisotropy increases, the magnitude of the curve shift (Vshift) increases. The numerical approach involving variations in electrical anisotropy (Rxx/Ryy) is conducted while maintaining a constant Ryy = 1.89 × 105 Ω. (d-h) Truth tables (upper table) and schematics of output current levels (|Is|) for the four input states ((IN1, IN2) = (0,0), (0,1), (1,0), and (1,1)) on the |Is|–\({{V}_{d}}^{{||}}\) curves (bottom graph) of (d) OR, (e) NAND, (f) NOR, (g) XNOR, and (h) XOR gates. (i-m) Logic input (IN1, IN2) (two upper graphs) and measured output current levels (|Is|) (bottom graph) for the logic behaviors of the (i) OR, (j) NAND, (k) NOR, (l) XNOR, and (m) XOR gates. The four continuously changing (IN1, IN2) states ((0,0), (0,1), (1,0), and (1,1)) have 20 measurements each with intervals of 60 ms, for a total of 4800 ms. The blue dashed line indicates |Is|th = 4×10−8 A.

Source data

Supplementary information

Supplementary Information

Supplementary Figs. 1–43, Tables 1–12 and Notes 1–13, captions of Supplementary Videos 1 and 2, and Supplementary References.

Supplementary Video 1

Molecular dynamics simulation demonstrating ion entrance into the GO channel.

Supplementary Video 2

Molecular dynamics simulation of Ni growth in a GO template with a 5 Å interlayer gap, predicting Ni nuclei growing from the cathode surface.

Source data

Source Data Fig. 1

Source data for Fig. 1.

Source Data Fig. 2

Source data for Fig. 2.

Source Data Fig. 3

Source data for Fig. 3.

Source Data Fig. 4

Source data for Fig. 4.

Source Data Fig. 5

Source data for Fig. 5.

Source Data Extended Data Fig. 3

Source data for Extended Data Fig. 3.

Source Data Extended Data Fig. 4

Source data for Extended Data Fig. 4.

Source Data Extended Data Fig. 5

Source data for Extended Data Fig. 5.

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

Kim, T., Seo, D., Kim, S. et al. Anomalous in-plane electrical anisotropy in elemental metal nanosheets. Nat. Synth 4, 31–42 (2025). https://doi.org/10.1038/s44160-024-00669-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue date:

  • DOI: https://doi.org/10.1038/s44160-024-00669-4

This article is cited by

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