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.

  • Letter
  • Published:

Monolayer atomic crystal molecular superlattices

Abstract

Artificial superlattices, based on van der Waals heterostructures of two-dimensional atomic crystals such as graphene or molybdenum disulfide, offer technological opportunities beyond the reach of existing materials1,2,3. Typical strategies for creating such artificial superlattices rely on arduous layer-by-layer exfoliation and restacking, with limited yield and reproducibility4,5,6,7,8. The bottom-up approach of using chemical-vapour deposition produces high-quality heterostructures9,10,11 but becomes increasingly difficult for high-order superlattices. The intercalation of selected two-dimensional atomic crystals with alkali metal ions offers an alternative way to superlattice structures12,13,14, but these usually have poor stability and seriously altered electronic properties. Here we report an electrochemical molecular intercalation approach to a new class of stable superlattices in which monolayer atomic crystals alternate with molecular layers. Using black phosphorus as a model system, we show that intercalation with cetyl-trimethylammonium bromide produces monolayer phosphorene molecular superlattices in which the interlayer distance is more than double that in black phosphorus, effectively isolating the phosphorene monolayers. Electrical transport studies of transistors fabricated from the monolayer phosphorene molecular superlattice show an on/off current ratio exceeding 107, along with excellent mobility and superior stability. We further show that several different two-dimensional atomic crystals, such as molybdenum disulfide and tungsten diselenide, can be intercalated with quaternary ammonium molecules of varying sizes and symmetries to produce a broad class of superlattices with tailored molecular structures, interlayer distances, phase compositions, electronic and optical properties. These studies define a versatile material platform for fundamental studies and potential technological applications.

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

Figure 1: In situ electrochemical–optical measurement platform to monitor electrochemical intercalation process in real time.
Figure 2: Structural and property evolution from BP to MPMS during the dynamic intercalation process.
Figure 3: TEM characterization of structure evolution from BP to MPMS.
Figure 4: Evolution of electrical properties from BP to MPMS and comparison of stability.
Figure 5: Tunable structural and physical property of MACMS intercalated with different molecules.

Similar content being viewed by others

References

  1. Novoselov, K. S ., Mishchenko, A ., Carvalho, A. & Neto, A. H. C. 2D materials and van der Waals heterostructures. Science 353, aac9439 (2016)

    Article  CAS  Google Scholar 

  2. Liu, Y . et al. Van der Waals heterostructures and devices. Nat. Rev. Mater. 1, 16042 (2016)

    Article  CAS  ADS  Google Scholar 

  3. Jariwala, D ., Marks, T. J. & Hersam, M. C. Mixed-dimensional van der Waals heterostructures. Nat. Mater. 16, 170–181 (2017)

    Article  CAS  ADS  Google Scholar 

  4. Haigh, S. J . et al. Cross-sectional imaging of individual layers and buried interfaces of graphene-based heterostructures and superlattices. Nat. Mater. 11, 764–767 (2012)

    Article  CAS  ADS  Google Scholar 

  5. Yu, W. J . et al. Vertically stacked multi-heterostructures of layered materials for logic transistors and complementary inverters. Nat. Mater. 12, 246–252 (2013)

    Article  CAS  ADS  Google Scholar 

  6. Cheng, R . et al. Electroluminescence and photocurrent generation from atomically sharp WSe2/MoS2 heterojunction p–n diodes. Nano Lett. 14, 5590–5597 (2014)

    Article  CAS  ADS  Google Scholar 

  7. Lee, C. H . et al. Atomically thin p–n junctions with van der Waals heterointerfaces. Nat. Nanotech. 9, 676–681 (2014)

    Article  CAS  ADS  Google Scholar 

  8. Withers, F . et al. Light-emitting diodes by band-structure engineering in van der Waals heterostructures. Nat. Mater. 14, 301–306 (2015)

    Article  CAS  ADS  Google Scholar 

  9. Gong, Y . et al. Vertical and in-plane heterostructures from WS2/MoS2 monolayers. Nat. Mater. 13, 1135–1142 (2014)

    Article  CAS  ADS  Google Scholar 

  10. Li, M.-Y . et al. Epitaxial growth of a monolayer WSe2–MoS2 lateral p–n junction with an atomically sharp interface. Science 349, 524–528 (2015)

    Article  CAS  ADS  Google Scholar 

  11. Duan, X . et al. Lateral epitaxial growth of two-dimensional layered semiconductor heterojunctions. Nat. Nanotech. 9, 1024–1030 (2014)

    Article  CAS  ADS  Google Scholar 

  12. Bao, W . et al. Approaching the limits of transparency and conductivity in graphitic materials through lithium intercalation. Nat. Commun. 5, 4224 (2014)

    Article  CAS  ADS  Google Scholar 

  13. Yu, Y. J . et al. Gate-tunable phase transitions in thin flakes of 1T-TaS2 . Nat. Nanotech. 10, 270–276 (2015)

    Article  CAS  ADS  Google Scholar 

  14. Xiong, F . et al. Li intercalation in MoS2: in situ observation of its dynamics and tuning optical and electrical properties. Nano Lett. 15, 6777–6784 (2015)

    Article  CAS  ADS  Google Scholar 

  15. Li, L. K . et al. Black phosphorus field-effect transistors. Nat. Nanotech. 9, 372–377 (2014)

    Article  CAS  ADS  Google Scholar 

  16. Perello, D. J ., Chae, S. H ., Song, S. & Lee, Y. H. High-performance n-type black phosphorus transistors with type control via thickness and contact-metal engineering. Nat. Commun. 6, 7809 (2015)

    Article  CAS  ADS  Google Scholar 

  17. Yuan, H . et al. Polarization-sensitive broadband photodetector using a black phosphorus vertical p–n junction. Nat. Nanotech. 10, 707–713 (2015)

    Article  CAS  ADS  Google Scholar 

  18. Pei, J . et al. Producing air-stable monolayers of phosphorene and their defect engineering. Nat. Commun. 7, 10450 (2016)

    Article  CAS  ADS  Google Scholar 

  19. Ryder, C. R . et al. Covalent functionalization and passivation of exfoliated black phosphorus via aryl diazonium chemistry. Nat. Chem. 8, 597–602 (2016)

    Article  CAS  Google Scholar 

  20. Liu, H . et al. Phosphorene: an unexplored 2D semiconductor with a high hole mobility. ACS Nano 8, 4033–4041 (2014)

    Article  CAS  Google Scholar 

  21. Li, L . et al. Direct observation of the layer-dependent electronic structure in phosphorene. Nat. Nanotech. 12, 21–25 (2016)

    Article  ADS  Google Scholar 

  22. Castellanos-Gomez, A. Black phosphorus: narrow gap, wide applications. J. Phys. Chem. Lett. 6, 4280–4291 (2015)

    Article  CAS  Google Scholar 

  23. Guan, J ., Song, W. S ., Yang, L. & Tomanek, D. Strain-controlled fundamental gap and structure of bulk black phosphorus. Phys. Rev. B 94, 045414 (2016)

    Article  ADS  Google Scholar 

  24. Liu, Y ., Merinov, B. V. & Goddard, W. A. Origin of low sodium capacity in graphite and generally weak substrate binding of Na and Mg among alkali and alkaline earth metals. Proc. Natl Acad. Sci. USA 113, 3735–3739 (2016)

    Article  CAS  ADS  Google Scholar 

  25. Rudenko, A. N ., Brener, S. & Katsnelson, M. I. Intrinsic charge carrier mobility in single-layer black phosphorus. Phys. Rev. Lett. 116, 246401 (2016)

    Article  CAS  ADS  Google Scholar 

  26. Chen, X. L . et al. High-quality sandwiched black phosphorus heterostructure and its quantum oscillations. Nat. Commun. 6, 7315 (2015)

    Article  CAS  ADS  Google Scholar 

  27. Doganov, R. A . et al. Transport properties of pristine few-layer black phosphorus by van der Waals passivation in an inert atmosphere. Nat. Commun. 6, 6647 (2015)

    Article  CAS  ADS  Google Scholar 

  28. Avsar, A . et al. Air-stable transport in graphene-contacted, fully encapsulated ultrathin black phosphorus-based field-effect transistors. ACS Nano 9, 4138–4145 (2015)

    Article  CAS  Google Scholar 

  29. Acerce, M ., Voiry, D. & Chhowalla, M. Metallic 1T phase MoS2 nanosheets as supercapacitor electrode materials. Nat. Nanotech. 10, 313–318 (2015)

    Article  CAS  ADS  Google Scholar 

  30. Voiry, D . et al. Covalent functionalization of monolayered transition metal dichalcogenides by phase engineering. Nat. Chem. 7, 45–49 (2015)

    Article  CAS  Google Scholar 

  31. Sole, C., Drewett, N. E. & Hardwick, L. J. In situ Raman study of lithium-ion intercalation into microcrystalline graphite. Faraday Discuss. 172, 223–237 (2014)

    Article  CAS  ADS  Google Scholar 

  32. Hembram, K. P. S. S. et al. A comparative first-principles study of the lithiation, sodiation, and magnesiation of black phosphorus for Li-, Na-, and Mg-ion batteries. Phys. Chem. Chem. Phys. 18, 21391–21397 (2016)

    Article  CAS  Google Scholar 

  33. Hembram, K. P. S. S. et al. Unraveling the atomistic sodiation mechanism of black phosphorus for sodium ion batteries by first-principles calculations. J. Phys. Chem. C 119, 15041–15046 (2015)

    Article  CAS  Google Scholar 

  34. Fei, R. & Yang, L. Lattice vibrational modes and Raman scattering spectra of strained phosphorene. Appl. Phys. Lett. 105, 083120 (2014)

    Article  ADS  Google Scholar 

  35. Xiao, H., Tahir-Kheli, J. & Goddard, W. A. Accurate band gaps for semiconductors from density functional theory. J. Phys. Chem. Lett. 2, 212–217 (2011)

    Article  CAS  Google Scholar 

  36. Crowley, J. M., Tahir-Kheli, J. & Goddard, W. A. Resolution of the band gap prediction problem for materials design. J. Phys. Chem. Lett. 7, 1198–1203 (2016)

    Article  CAS  Google Scholar 

  37. Cai, J. M. et al. Graphene nanoribbon heterojunctions. Nat. Nanotech. 9, 896–900 (2014)

    Article  CAS  ADS  Google Scholar 

  38. Yu, W. J., Liao, L., Chae, S. H., Lee, Y. H. & Duan, X. F. Toward tunable band gap and tunable Dirac point in bilayer graphene with molecular doping. Nano Lett. 11, 4759–4763 (2011)

    Article  CAS  ADS  Google Scholar 

  39. Levendorf, M. P. et al. Graphene and boron nitride lateral heterostructures for atomically thin circuitry. Nature 488, 627–632 (2012)

    Article  CAS  ADS  Google Scholar 

  40. Cai, Y., Zhang, G. & Zhang, Y.-W. Layer-dependent band alignment and work function of few-layer phosphorene. Sci. Rep. 4, 6677 (2014)

    Article  CAS  ADS  Google Scholar 

  41. Yang, Z. B. et al. Field-effect transistors based on amorphous black phosphorus ultrathin films by pulsed laser deposition. Adv. Mater. 27, 3748–3754 (2015)

    Article  CAS  Google Scholar 

  42. Xia, F., Wang, H. & Jia, Y. Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics. Nat. Commun. 5, 4458 (2014)

    Article  CAS  ADS  Google Scholar 

  43. Kamalakar, M. V., Madhushankar, B. N., Dankert, A. & Dash, S. P. Low Schottky barrier black phosphorus field-effect devices with ferromagnetic tunnel contacts. Small 11, 2209–2216 (2015)

    Article  CAS  Google Scholar 

  44. Miao, J. S., Zhang, S. M., Cai, L., Scherr, M. & Wang, C. Ultrashort channel length black phosphorus field-effect transistors. ACS Nano 9, 9236–9243 (2015)

    Article  CAS  Google Scholar 

  45. Youngblood, N., Chen, C., Koester, S. J. & Li, M. Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current. Nat. Photon. 9, 247–252 (2015)

    Article  CAS  ADS  Google Scholar 

  46. Na, J. et al. Few-layer black phosphorus field-effect transistors with reduced current fluctuation. ACS Nano 8, 11753–11762 (2014)

    Article  CAS  MathSciNet  Google Scholar 

  47. Wood, J. D. et al. Effective passivation of exfoliated black phosphorus transistors against ambient degradation. Nano Lett. 14, 6964–6970 (2014)

    Article  CAS  ADS  Google Scholar 

  48. Buscema, M. et al. Fast and broadband photoresponse of few-layer black phosphorus field-effect transistors. Nano Lett. 14, 3347–3352 (2014)

    Article  CAS  ADS  Google Scholar 

  49. Kim, J. S. et al. Dual gate black phosphorus field effect transistors on glass for nor logic and organic light emitting diode switching. Nano Lett. 15, 5778–5783 (2015)

    Article  CAS  ADS  Google Scholar 

  50. Hong, T. et al. Polarized photocurrent response in black phosphorus field-effect transistors. Nanoscale 6, 8978–8983 (2014)

    Article  CAS  ADS  Google Scholar 

  51. Koenig, S. P., Doganov, R. A., Schmidt, H., Neto, A. H. C. & Ozyilmaz, B. Electric field effect in ultrathin black phosphorus. Appl. Phys. Lett. 104, 103106 (2014)

    Article  ADS  Google Scholar 

  52. Zhu, W. N. et al. Flexible black phosphorus ambipolar transistors, circuits and AM demodulator. Nano Lett. 15, 1883–1890 (2015)

    Article  CAS  ADS  Google Scholar 

  53. Wang, H. et al. Black phosphorus radio-frequency transistors. Nano Lett. 14, 6424–6429 (2014)

    Article  CAS  ADS  Google Scholar 

  54. Kah-Wee, A., Zhi-Peng, L. & Juntao, Z. Next generation field-effect transistors based on 2D black phosphorus crystal. 2015 IEEE Int. Conf. on Digital Signal Processing. 1223–1226 (2015).

  55. Viti, L. et al. Efficient terahertz detection in black-phosphorus nano-transistors with selective and controllable plasma-wave, bolometric and thermoelectric response. Sci. Rep. 6, 20474 (2016)

    Article  CAS  ADS  Google Scholar 

  56. Wan, B. S . et al. Enhanced stability of black phosphorus field-effect transistors with SiO2 passivation. Nanotechnology 26, 435702 (2015)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The authors acknowledge the Electron Imaging Center for NanoMachines (EICN) at California NanoSystem Institute (CNSI) and Nanoelectronic Research Facility (NRF) at UCLA for technical support. Xiangfeng D. acknowledges support by National Science Foundation DMR1508144 (materials synthesis) and Office of Naval Research through grant number N00014-15-1-2368 (device fabrications). Y.H. acknowledges support by National Science Foundation EFRI-1433541. Y.L. was supported by a Resnick Prize Postdoctoral Fellowship at Caltech. L.L. acknowledges support through the 973 grant of MOST (No. 2013CBA01604). X.H.C. acknowledges support from the National Natural Science Foundation of China (Grant No. 11534010). W.A.G. and Y.L. were also supported by DOE DE-SC0014607. W.A.G acknowledges the Extreme Science and Engineering Discovery Environment (XSEDE) supported by National Science Foundation grant ACI-1053575. Y.L. acknowledges the computational resources sponsored by the DOE’s Office of Energy Efficiency and Renewable Energy and located at the National Renewable Energy Laboratory, and the Texas Advanced Computing Center (TACC). I.S. thanks the Deanship of Scientific Research at King Saud University for its funding of this research through grant PEJP-17-01.

Author information

Authors and Affiliations

Authors

Contributions

Xiangfeng D., Y.H. and C.W. co-designed the research. C.W. conducted device fabrication, electrical properties measurements and data analysis. C.W., Q.H. and U.H. conducted the intercalation experiments. C.W., U.H., Z.L. and Z.F. conducted structural and optical characterizations. Y.L., H.X. and W.A.G. contributed to the superlattice atomic and electronic structure calculations. E.Z. conducted the TEM studies. Q.H., Xidong D., Y.-C.H., H.W., H.-C.C., I.S. and L.L. contributed to the initial measurement system set-up, preparation of 2D materials and data analysis. R.C. contributed to the initial BP property characterization. N.O.W. contributed to the schematic drawing. G.J.Y. and X.H.C. prepared the initial BP material. Y.H. and Xiangfeng D. supervised the research. Xiangfeng D. and C.W. co-wrote the manuscript. All authors discussed the results and commented on the manuscript.

Corresponding authors

Correspondence to Lei Liao, Yu Huang or Xiangfeng Duan.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Additional information

Reviewer Information Nature thanks N. Guisinger, K. Loh and Q. Xiong for their contribution to the peer review of this work.

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

Extended data figures and tables

Extended Data Figure 1 Stepwise reaction mechanism and its partition map.

First derivative of the electrochemical gate current in Fig. 2a. By analysing the original current curve and local minimum of the first derivative, the stepwise reaction can be clearly identified: that is, no major intercalation for 0–1.0 V (over-potential for Br sub-reaction), 1.0–1.4 V for major bulk intercalation, 1.4–2.0 V for few-layer BP formation, 2.0–2.5 V for trilayer BP formation, 2.5–3.0 V for bilayer BP formation and beyond 3.0 V for MPMS formation, which is also consistent with bandgap evolution from bulk, few, trilayer and bilayer to monolayer phosphorene.

Extended Data Figure 2 TEM EDX spectra of BP and MPMS.

a, b, Spectra of BP and MPMS, showing the existence of Br and N after intercalation. Three average spectra gave an atomic ratio of P:N:Br as 33.2:1.2:1.0.

Extended Data Figure 3 Raman spectra characterization of BP and MPMS.

a, Raman spectra to compare the relative peak intensity and full-width at half-maximum evolution from pristine BP (black) to MPMS (red). The MPMS spectrum is multiplied by 20 for easy comparison. b–d, Ag1, B2g and Ag2 mode comparison between pristine BP and MPMS to show redshift, blueshift and blueshift after MPMS formation, respectively. Insets: schematic illustration of atomic motion of each vibration modes.

Extended Data Figure 4 The calculated electronic band structure evolution from BP to MPMS.

a, b, Electronic structure of monolayer phosphorene (a) and MPMS (b), demonstrating the enlarged bandgap from 1.94 eV in monolayer phosphorene to 2.13 eV in MPMS, as determined by the transition from VBM-1 (green) and CBM (red). The newly introduced bands of MPMS marked as grey dotted lines are mainly from bromine atomic p orbitals. The orange VBM-0 band is mainly (about 90%) from phosphorus, but those orbitals contribute little to the optical transition, owing to very small overlap with the CBM. c, d, e, Monolayer phosphorene charge-density distribution of CBM (red in a), VBM-0 (orange in a) and VBM-1 (green in a), showing the transition bandgap determined by CBM and VMB-0/VMB-1 (very close in energy). f, g, h, MPMS charge-density distribution of CBM (red in b), VBM-0 (orange in b) and VBM-1 (green in b), showing the transition bandgap determined by VBM-1 and CBM due to large overlap of charge density.

Extended Data Figure 5 The on/off ratio and mobility of the MPMS devices and the recently reported few-layer and thin BP devices.

Six MPMS devices (red star) show an average mobility of 270 cm2 V−1 s−1 and averaged on/off ratio of 8.6 × 106. For comparison, we list recent studies of few-layer BP (less than 5 nm, marked as the blue triangle) and thin BP (5 nm to 15 nm, marked as the black square) devices. The MPMS devices outperform the best few-layer BP devices in both mobility and on/off ratio, and show comparable mobility but much higher on/off ratio than thin BP devices. Data points indexed are taken from the following: data 1 from ref. 41, data 2 from ref. 28, data 3 from ref. 42, data 4 from ref. 43, data 5 from ref. 27, data 6 from ref. 42, data 7 from ref. 20, data 8 from ref. 44, data 9 from ref. 42, data 10 from ref. 45, data 11 from ref. 46, data 12 from ref. 47, data 13 from ref. 48, data 14 from ref. 49, data 15 from ref. 50, data 16 from ref. 46, data 17 from ref. 19, data 18 from ref. 46, data 19 from ref. 51, data 20 from ref. 52, data 21 from ref. 53, data 22 from ref. 54, data 23 from ref. 55, data 24 from ref. 56, data 25 from ref. 15, data 26 from ref. 26.

Extended Data Figure 6 Lateral BP–MPMS heterojunction.

a, Photoluminescence mapping (at 553 nm) of a lateral BP–MPMS heterostructure to highlight the MPMS part. Scale bar: 3 μm. The signal in the electrode area is due to a scattering-induced background. b, The corresponding Raman spectral mapping centred at 438 cm−1 to show the main BP region with stronger Raman signal. Scale bar: 3 μm. c, SEM image to show the lateral BP–MPMS heterojunction device. Scale bar: 3 μm. d, Schematic illustration of a lateral BP–MPMS heterojunction. e, Band diagram of the BP–MPMS heterojunction. f, The typical diode characteristics of a lateral BP–MPMS heterojunction; inset: optical microscope image of the corresponding BP–MPMS heterojunction. Scale bar: 3 μm.

Extended Data Figure 7 XRD patterns of MACMS obtained from six additional 2DACs.

a, XRD pattern of WSe2 and WSe2/CTAB superlattice verifying the interlayer distance expansion from 6.43 Å (13.76°) of WSe2 (002) peak (black) to 15.20 Å (5.81°) of WSe2/CTAB superlattice (002) peak (red). b, XRD pattern of SnSe and SnSe/CTAB superlattice demonstrating the interlayer distance expansion from 5.74 Å (31.16°) of SnSe (004) peak (black) to 15.62 Å (5.65°) of SnSe/CTAB superlattice (002) peak (red). c, XRD pattern of GeS and GeS/CTAB superlattice showing the interlayer distance expansion from 5.18 Å (34.58°) of GeS (004) peak (black) to 15.76 Å (5.60°) of GeS/CTAB superlattice (002) peak (red). d, XRD pattern of NbSe2 and NbSe2/CTAB superlattice revealing the interlayer distance expansion from 6.18 Å (14.31°) of NbSe2 (002) peak (black) to 14.85 Å (5.95°) of NbSe2/CTAB superlattice (002) peak (red). e, XRD pattern of Bi2Se3 and Bi2Se/CTAB superlattice exhibiting the interlayer distance expansion from 14.16 Å (18.78°) of Bi2Se3 (006) peak (black) to 23.07 Å (11.49°) of Bi2Se3/CTAB superlattice (006) peak (red). f, XRD pattern of In2Se3 and In2Se3/CTAB superlattice indicating the interlayer distance expansion from 9.50 Å (18.67°) of the In2Se3 (004) peak (black) to 15.40 Å (11.48°) of the In2Se3/CTAB superlattice (004) peak (red).

Extended Data Table 1 Key characteristics of MPMS and recently reported few-layer BP

PowerPoint slides

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, C., He, Q., Halim, U. et al. Monolayer atomic crystal molecular superlattices. Nature 555, 231–236 (2018). https://doi.org/10.1038/nature25774

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nature25774

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

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