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Positive and negative Coulomb drag in vertically integrated one-dimensional quantum wires

Abstract

Electron interactions in and between wires become increasingly complex and important as circuits are scaled to nanometre sizes, or use reduced-dimensional conductors1 such as carbon nanotubes2,3,4,5,6, nanowires7,8,9,10 and gated high-mobility two-dimensional electron systems11,12,13. This is because the screening of the long-range Coulomb potential of individual carriers is weakened in these systems, which can lead to phenomena such as Coulomb drag, where a current in one wire induces a voltage in a second wire through Coulomb interactions alone. Previous experiments have demonstrated Coulomb electron drag in wires separated by a soft electrostatic barrier of width 80 nm (ref. 12), which was interpreted as resulting entirely from momentum transfer. Here, we measure both positive and negative drag between adjacent vertical quantum wires that are separated by 15 nm and have independent contacts, which allows their electron densities to be tuned independently. We map out the drag signal versus the number of electron sub-bands occupied in each wire, and interpret the results both in terms of momentum-transfer and charge-fluctuation induced transport models. For wires of significantly different sub-band occupancies, the positive drag effect can be as large as 25%.

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Figure 1: Schematics of the fabrication process of the vertically coupled quantum circuits.
Figure 2: Split gates design generating the double quantum wire structure.
Figure 3: Characterization of the non-ballistic quantum wires.
Figure 4: Drag resistance of the coupled quantum circuits.

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References

  1. Zhang, X-G. & Pantelides, S. T. Screening in nanowires and nanocontacts: field emission, adhesion force and contact resistance. Nano Lett. 9, 4306–4310 (2009).

    Article  CAS  Google Scholar 

  2. Tans, S. J., Verschueren, A. R. M. & Dekker, C. Room-temperature transistor based on a single carbon nanotube. Nature 393, 49–52 (1998).

    Article  CAS  Google Scholar 

  3. Sun, D-M. et al. Flexible high-performance carbon nanotube integrated circuits. Nature Nanotech. 6, 156–161 (2011).

    Article  CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

  6. Hata, K. et al. Water-assisted highly efficient synthesis of impurity-free single-walled carbon nanotubes. Science 306, 1362–1364 (2004).

    Article  CAS  Google Scholar 

  7. Cui, Y. & Lieber, C. M. Functional nanoscale electronic devices assembled using silicon nanowire building blocks. Science 291, 851–853 (2001).

    Article  CAS  Google Scholar 

  8. Whang, D., Jin, S., Wu, Y. & Lieber, C. M. Large-scale hierarchical organization of nanowire arrays for integrated nanosystems. Nano Lett. 3, 1255–1259 (2003).

    Article  CAS  Google Scholar 

  9. Dayeh, S. A., Soci, C., Yu, P. K. L., Yu, E. T. & Wang, D. Influence of surface states on the extraction of transport parameters from InAs nanowire field effect transistors. Appl. Phys. Lett. 90, 162112 (2007).

    Article  Google Scholar 

  10. Melosh, N. A. et al. Ultrahigh-density nanowire lattices and circuits. Science 300, 112–115 (2003).

    Article  CAS  Google Scholar 

  11. Debray, P. et al. Experimental studies of Coulomb drag between ballistic quantum wires. J. Phys. Condens. Matter 13, 3389–3401 (2001).

    Article  CAS  Google Scholar 

  12. Yamamoto, M., Stopa, M., Tokura, Y., Hirayama, Y. & Tarucha, S. Negative Coulomb drag in a one-dimensional wire. Science 313, 204–207 (2006).

    Article  CAS  Google Scholar 

  13. Bielejec, E., Reno, J. L., Lyo, S. K. & Lilly, M. P. Tunneling spectroscopy in vertically coupled quantum wires. Solid State. Commun. 147, 79–82 (2008).

    Article  CAS  Google Scholar 

  14. Gramila, T. J., Eisenstein, J. P., MacDonald, A. H., Pfeiffer, L. N. & West, K. W. Mutual friction between parallel two-dimensional electron systems. Phys. Rev. Lett. 66, 1216–1219 (1991).

    Article  CAS  Google Scholar 

  15. Jörger, C. et al. Frictional drag between coupled 2D hole gases in GaAs/AlGaAs heterostructures. Physica E 6, 598–601 (2000).

    Article  Google Scholar 

  16. Seamons, J. A., Morath, C. P., Reno, J. L. & Lilly, M. P. Coulomb drag in the exciton regime in electron–hole bilayers. Phys. Rev. Lett. 102, 026804 (2009).

    Article  CAS  Google Scholar 

  17. Auslaender, O. M. et al. Spin-charge separation and localization in one dimension. Science 308, 88–92 (2005).

    Article  CAS  Google Scholar 

  18. Jompol, Y. et al. Probing spin-charge separation in a Tomonaga–Luttinger liquid. Science 325, 597–601 (2009).

    Article  CAS  Google Scholar 

  19. Weckwerth, M. V., et al. Epoxy bond and stop-etch (EBASE) technique enabling backside processing of (Al)GaAs heterostructures. Supperlatt. Microstruct. 20, 561–567 (1996).

    Article  CAS  Google Scholar 

  20. Auslaender, O. M. et al. Experimental evidence for resonant tunnelling in a Luttinger liquid. Phys. Rev. Lett. 84, 1764–1767 (2000).

    Article  CAS  Google Scholar 

  21. Levchenko, A. & Kamenev, A. Coulomb drag in quantum circuits. Phys. Rev. Lett. 101, 216806 (2008).

    Article  Google Scholar 

  22. Sánchez, R., López, R., Sánchez, D. & Büttiker, M. Mesoscopic Coulomb drag, broken detailed balance, and fluctuation relations. Phys. Rev. Lett. 104, 076801 (2010).

    Article  Google Scholar 

  23. Boukai, A. I. et al. Silicon nanowires as efficient thermoelectric materials. Nature 451, 168–171 (2008).

    Article  CAS  Google Scholar 

  24. Yan, H. et al. Programmable nanowire circuits for nanoprocessors. Nature 470, 240–244 (2011).

    Article  CAS  Google Scholar 

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Acknowledgements

The authors acknowledge the outstanding technical assistance of D. Tibbetts and J. Hedberg. The authors also thank A. Clerk and T. Szkopek for inspiring discussions. This work has been supported by the Division of Materials Sciences and Engineering, Office of Basic Energy Sciences, US Department of Energy (DOE). This work was performed, in part, at the Center for Integrated Nanotechnologies, a US DOE, Office of Basic Energy Sciences user facility. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the US DOE's National Nuclear Security Administration (contract no. DE-AC04-94AL85000). The authors also acknowledge financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC), CIFAR, and from the FQRNT (Québec).

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Authors

Contributions

M.P.L. designed and conceived the experiment. J.L.R. performed the growth of the double quantum well heterostructures. D.L. fabricated and characterized the samples, and performed the Coulomb drag measurements. G.G., M.P.L. and D.L. co-wrote the Letter and all authors discussed the results and commented on the manuscript.

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Correspondence to M. P. Lilly.

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The authors declare no competing financial interests.

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Laroche, D., Gervais, G., Lilly, M. et al. Positive and negative Coulomb drag in vertically integrated one-dimensional quantum wires. Nature Nanotech 6, 793–797 (2011). https://doi.org/10.1038/nnano.2011.182

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