Soliton model of charge-density-wave depinning

  • John Bardeen
  • J. R. Tucker
III. Dynamics of Charge Density Waves, Theory
Part of the Lecture Notes in Physics book series (LNP, volume 217)


The quantum tunneling model of depinning of charge-density waves in linear chain conductors can be simplified and made more concrete by reviving a soliton model similar to that studied in 1978 by Maki and by Larkin and Lee. They rejected a model of solitons on individual chains pinned by impurity fluctuations because the energy involved is far less than 1°K. However the transverse coherence distance includes 105 or 106 parallel chains. There is only one thermal degree of freedom for motion parallel to the chains in a domain of this area and a length containing a pinned soliton or phase kink. What is pinned is a parallel array of such phase kinks of average spacing Ld. The current acceleration, dJ/dt, from a field, E, by tunneling, is analogous to Josephson current flow across a tunnel junction from a phase difference.


Fermi Surface Drift Velocity Drift Frequency Tunneling Model Soliton Model 
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  1. 1.
    John Bardeen, Phys. Rev. Lett. 42 (1979) 1498Google Scholar
  2. 1.a
    ibid 45 (1980); John Bardeen, Proceedings of the International School of Physics “Enrico Fermi,” Varenna, Italy, (1983) to be published in Nuovo Cimento.Google Scholar
  3. 2.
    A.I. Larkin and P.A. Lee, Phys. Rev. B17 (1978) 1596.Google Scholar
  4. 3.
    K. Maki, Phys. Rev. Lett. 39 (1977) 46; Phys. Rev. B18 (1978) 1641.Google Scholar
  5. 4.
    For another discussion of the soliton model from a somewhat different point of view, see John Bardeen “Soliton Theory of Charge-Density Wave Depinning,” Proceedings “International Conference on Low Temperature Physics-LT17,” to be published in Physica B.Google Scholar
  6. 5.
    S.E. Barnes and A. Zawadowski, Phys. Rev. Lett. 51 (1983) 1003.Google Scholar
  7. 6.
    W. Wonneberger, Z. Phys. B50 (1983) 23.Google Scholar
  8. 7.
    H. Fukuyama and P.A. Lee, Phys. Rev. B17 (1978) 535.Google Scholar
  9. 8.
    P.A. Lee and M. Rice, Phys. Rev. B19 (1979) 3970.Google Scholar
  10. 9.
    David Reagor, S. Sridhar and G. Grüner “Internal Dynamics of CDW Transport in NbSe3,” these proceedings.Google Scholar
  11. 10.
    J. H. Miller, Jr., J. Richard, J.R. Tucker and John Bardeen, Phys. Rev. Lett. 51 (1983) 1592; J.H. Miller, Jr., J. Richard, R.E. Thorne, W.G. Lyons, J.R. Tucker and John Bardeen, Phys. Rev. B29 (1984) 2328 and to be published.Google Scholar
  12. 11.
    L. Sneddon, M.C. Cross and D.S. Fisher, Phys. Rev. Lett. 49 (1982) 292; L. Sneddon, Phys. Rev. B29 (1984) 719, 725; invited talks by D.S. Fisher and by L. Sneddon, these proceedings.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • John Bardeen
    • 1
  • J. R. Tucker
    • 2
  1. 1.Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Department of Electrical EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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