Skip to main content
Log in

Tunneling into 1D and Quasi-1D Conductors and Luttinger-Liquid Behavior

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the IV curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic IV curve, which is usually considered as a manifestation of the Luttinger-liquid behavior, can be also deduced from the theory of the Coulomb blockaded junction between 3D conductors affected by the environment effect. In both approaches the power-law exponents are determined by the ratio of the impedance of an effective electric circuit to the quantum resistance. Though two approaches predict different power-law exponents (because of a different choice of effective circuits), the difference becomes negligible for a large number of conductance channels.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. M. P. A. Fisher and L. I. Glazman, in: Mesoscopic Electron Transport, ed. L.L. Sohn et al., Kluver, Netherland, (1997).

    Google Scholar 

  2. Segovia et.al. Nature, 402, 504 (1999).

    Google Scholar 

  3. M. Bockrath, D.H. Cobden, J. Lu, A.G. Rinzler, R.E. Smalley, L. Balents, and P.L. McEuen, Nature 397, 598 (1999).

    Google Scholar 

  4. C. Schönenberger, A. Bachtold, C. Strunk, J.-P. Salvetat, and L. Forro, Applied Physics A 69, 283 (1999).

    Google Scholar 

  5. R. Tarkiainen, M. Ahlskog, J. Penttilä, L. Roschier, P. Hakonen, M. Paalanen, and E. Sonin, cond-mat/0104019.

  6. G. Schön and A.D. Zaikin, Phys. Rep. 198, 237 (1990).

    Google Scholar 

  7. G.-L. Ingold and Yu.V. Nazarov, in: Single Charge Tunneling, ed. H. Grabert and M.H. Devoret, Plenum Press, N.Y., (1992), p. 48.

    Google Scholar 

  8. P. Wahlgren, P. Delsing, and D.B. Haviland, Phys. Rev. B 52, R2293 (1995).

    Google Scholar 

  9. J.S. Penttilä, Ü. Parts, P.J. Hakonen, M.A. Paalanen, and E.B. Sonin, Phys. Rev. B 61, 10890 (2000).

    Google Scholar 

  10. B.L. Altshuler and A.G. Aronov, in: Electron-Electron Interactions in Disordered Systems, ed. A.L. Efros and M. Pollak, Elsevier, Amsterdam, (1985), p. 1.

    Google Scholar 

  11. K. Schönhammer, cond-mat/9710330.

  12. S. Datta, Electronic Transport in Mesoscopic Systems, Cambridge University Press, (1995).

  13. K.A. Matveev and L.I. Glazman, Phys. Rev. Lett. 70, 990 (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sonin, E.B. Tunneling into 1D and Quasi-1D Conductors and Luttinger-Liquid Behavior. Journal of Low Temperature Physics 124, 321–334 (2001). https://doi.org/10.1023/A:1017598423240

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017598423240

Keywords

Navigation