Lattice Relaxation Theory of Soliton and Polaron Generation in Polyacetylene

  • Zhao-bin Su
  • Lu Yu
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


The lattice relaxation theory of multiphonon processes developed by Huang and Rhys [1] and others [2] in the early 50s in connection with colour centers in ionic crystals has proved to be very successful in traditional solid state physics. The key idea in this theory is explicitly to take into account the difference in the symmetry breaking (lattice relaxation) of the initial and the final states of quantum transitions involving multiphonon processes. We have shown that the lattice relaxation theory offers a natural and convenient vehicle to treat the soliton and polaron generation in polyacetylene [3–5] important for some recent development in this exciting field [6]. We have generalized the original version of this theory to include the self-consistency of the electronic states with the lattice configuration as well as the many-electron background effects both of which are essential for the collective, self-localized excitations such as soliton and polaron. Our calculations have been published in [4], whereas the connection with the recent experiments has been discussed in [5]. Since the reference [4] is not easily accessible, we will outline here the basic idea of the method itself which may be useful for some other purposes.


Colour Center Lattice Relaxation Nonradiative Decay Exciting Field Lattice Configuration 
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  1. 1.
    K. Huang and A. Rhys, Proc. Roy. Soc. A204, 406 (1950).CrossRefGoogle Scholar
  2. 2.
    See, e.g., K. Huang, Progr. in Phys. (Nanjing, China) 1, 31 (1981).Google Scholar
  3. 3.
    Z.B. Su and L. Yu, Phys. Rev. B27, 5199 (1983);Google Scholar
  4. Z.B. Su and L. Yu, Errutum B29, 2309 (1984).Google Scholar
  5. 4.
    SU Zhao-bin and YU Lu, Commun. in Theor. Phys. (Beijing, China) 2, 1203.Google Scholar
  6. SU Zhao-bin and YU Lu, Commun. in Theor. Phys. (Beijing, China) 1323, 1341 (1983).Google Scholar
  7. 5.
    Z.B. Su and L. Yu, in Proceedings of ICSM 84, see Ref.6.Google Scholar
  8. 6.
    Proceedings of the International Conference on Physics and Chemistry of Low-Dimensional Synthetic Metals, to be published in Mol. Cryst. and Liq. Cryst.Google Scholar
  9. 7.
    H. Takayama, Y.R. Lin-Liu and K. Maki, Phys. Rev. B24, 2388 (1980).Google Scholar
  10. 8.
    W.P. Su, J.R. Schrieffer and A.J. Heeger, Phys. Rev. Lett. 42, 1698 (1979).CrossRefGoogle Scholar
  11. 9.
    L.D. Landau and E.M. Lifshitz, Quantum Mechanics,3rd ed. (Pergamon, Oxford, 1977), §90.Google Scholar
  12. 10.
    W.P. Su and J.R. Schrieffer, Proc. Natl. Acad. Sci. (U.S.A.) 77, 5526 (1980).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Zhao-bin Su
    • 1
  • Lu Yu
    • 1
  1. 1.Institute of Theoretical PhysicsAcademia SinicaBeijingPR China

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