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:

Nonlinear transport in semiconducting polymers at high carrier densities

Abstract

Conducting and semiconducting polymers are important materials in the development of printed, flexible, large-area electronics such as flat-panel displays and photovoltaic cells. There has been rapid progress in developing conjugated polymers with high transport mobility required for high-performance field-effect transistors (FETs), beginning1 with mobilities around 10−4 cm2 V−1 s−1 to a recent report2 of 1 cm2 V−1 s−1 for poly(2,5-bis(3-tetradecylthiophen-2-yl)thieno[3,2-b]thiophene) (PBTTT). Here, the electrical properties of PBTTT are studied at high charge densities both as the semiconductor layer in FETs and in electrochemically doped films to determine the transport mechanism. We show that data obtained using a wide range of parameters (temperature, gate-induced carrier density, source–drain voltage and doping level) scale onto the universal curve predicted for transport in the Luttinger liquid description of the one-dimensional ‘metal’.

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: Typical temperature dependence of conductivity for PBTTT FETs.
Figure 2: FET data scale onto a ‘universal’ curve.
Figure 3: Evidence of Luttinger liquid transport in doped PBTTT films.
Figure 4: Correlation of α to charge density.

Similar content being viewed by others

References

  1. Burroughes, J. H., Jones, C. A. & Friend, R. H. New semiconductor device physics in polymer diodes and transistors. Nature 335, 137–141 (1988).

    Article  Google Scholar 

  2. Hamadani, B. H. et al. Undoped polythiophene field-effect transistors with mobility of 1 cm2 V−1 s−1. Appl. Phys. Lett. 91, 243512 (2007).

    Article  Google Scholar 

  3. Mcculloch, I. et al. Liquid-crystalline semiconducting polymers with high charge-carrier mobility. Nature Mater. 5, 328–333 (2006).

    Article  CAS  Google Scholar 

  4. DeLongchamp, D. M. et al. High carrier mobility polythiophene thin films: Structure determination by experiment and theory. Adv. Mater. 19, 833–837 (2007).

    Article  CAS  Google Scholar 

  5. Northrup, J. Atomic and electronic structure of polymer organic semiconductors: P3HT, PQT, and PBTTT. Phys. Rev. B 76, 245202 (2007).

    Article  Google Scholar 

  6. Voit, J. One-dimensional Fermi liquids. Rep. Prog. Phys. 58, 977–1116 (1995).

    Article  CAS  Google Scholar 

  7. Schulz, H. J., Cuniberti, G. & Pieri, P. Field Theories for Low-Dimensional Condensed Matter Systems Ch. 2 (Springer, 2000).

    Google Scholar 

  8. Haldane, F. D. M. ‘Luttinger liquid theory’ of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas. J. Phys. C 4, 2585–2609 (1981).

    Article  Google Scholar 

  9. Kane, C. L. & Fisher, M. P. A. Transport in a one-channel Luttinger liquid. Phys. Rev. Lett. 68, 1220–1223 (1992).

    Article  CAS  Google Scholar 

  10. Balents, L. Orthogonality catastrophes in carbon nanotubes. Preprint at <http://arxiv.org/abs/cond-mat/9906032> (1999).

  11. Bockrath, M. et al. Luttinger-liquid behaviour in carbon nanotubes. Nature 397, 598–601 (1999).

    Article  CAS  Google Scholar 

  12. Yao, Z., Postma, H. W. C., Balents, L. & Dekker, C. Carbon nanotube intramolecular junctions. Nature 402, 273–276 (1999).

    Article  CAS  Google Scholar 

  13. Monteverde, M. et al. Tomonaga–Luttinger liquid and Coulomb blockade in multiwall carbon nanotubes under pressure. Phys. Rev. Lett. 97, 176401 (2006).

    Article  CAS  Google Scholar 

  14. Slot, E., Holst, M. A., van der Zant, H. S. J. & Zaitsev-Zotov, S. V. One-dimensional conduction in charge-density-wave nanowires. Phys. Rev. Lett. 93, 176602 (2004).

    Article  CAS  Google Scholar 

  15. Venkataraman, L., Hong, Y. S. & Kim, P. Electron transport in a multichannel one-dimensional conductor: Molybdenum selenide nanowires. Phys. Rev. Lett. 96, 076601 (2006).

    Article  Google Scholar 

  16. Aleshin, A. N., Lee, H. J., Park, Y. W. & Akagi, K. One-dimensional transport in polymer nanofibers. Phys. Rev. Lett. 93, 196601 (2004).

    Article  CAS  Google Scholar 

  17. Dhoot, A. S., Wang, G. M., Moses, D. & Heeger, A. J. Voltage-induced metal–insulator transition in polythiophene field-effect transistors. Phys. Rev. Lett. 96, 246403 (2006).

    Article  CAS  Google Scholar 

  18. Kaiser, A. B. & Park, Y. W. Conduction mechanisms in polyacetylene nanofibres. Curr. App. Phys. 2, 33–37 (2002).

    Article  Google Scholar 

  19. Aleshin, A. et al. Non-Ohmic conduction in polydiacetylene thin films. Curr. Appl. Phys. 5, 85–89 (2005).

    Article  Google Scholar 

  20. Yuen, J. D. et al. Electrochemical doping in electrolyte-gated polymer transistors. J. Am. Chem. Soc. 129, 14367–14371 (2007).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

Research supported by the National Science Foundation under NSF- DMR 0602280. We thank E. L. Hu, E. J. Kramer and R. Seshadri for useful discussions, M. Chabinyc for information on the properties of PBTTT and L. Balents for important comments on the physics of the Luttinger liquid. J.D.Y. thanks B. Y. Hsu, S. R. Cowan and J. S. Moon for technical assistance and useful discussions. A portion of this work was carried out at the National High Magnetic Field Laboratory, which is supported by NSF Cooperative Agreement No. DMR-0084173, by the State of Florida, and by the DOE.

Author information

Authors and Affiliations

Authors

Contributions

A.J.H., D.M., J.D.Y. and R.M. developed the concept and designed experiments. J.D.Y. and R.M. set up and carried out the experiments in UCSB with J.D.Y. fabricating the samples. D.M., J.D.Y. and S.T.H. carried out the experiments in NHMFL with E.B.N., J.D.Y. and S.C. fabricating the samples. J.D.Y. and N.E.C. analysed the data. Interpretation of the data was developed by A.J.H., D.M., J.D.Y. and R.M. The paper was written by both A.J.H. and J.D.Y.

Corresponding author

Correspondence to Alan J. Heeger.

Supplementary information

Supplementary Information

Supplementary Information (PDF 371 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yuen, J., Menon, R., Coates, N. et al. Nonlinear transport in semiconducting polymers at high carrier densities. Nature Mater 8, 572–575 (2009). https://doi.org/10.1038/nmat2470

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nmat2470

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