Abstract
The theoretical work on the electronic structure of hydrocarbon chains dates back to the early days of quantum mechanics when the molecular orbital approach was introduced to deal with the extended wavefunctions of the π -electrons [1]. But only in 1959 was it clearly demonstrated that this scheme led to a ground state with alternating bond lengths and an electronic gap at the Fermi surface [2]. It was also recognized that simple defect structures, “bond-alternation defects”, could exist as kinds of domain-walls between the two degenerate dimerization patterns [3]. The singly occupied local orbital associated with such a defect was proposed to give rise to the Curie-type magnetic susceptibility observed experimentally[4].
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References
See L. Salem, The Molecular Orbital Theory of Conjugated Systems, Benjamin, London, 1966.
H.C. Longuet-Higgins and L. Salem, Proc. Roy. Soc. A, 251, 172 (1959).
J.A. Pople and S.H. Walmsley, Molec. Phys. 5, 15 (1962)
E.g. G.M. Holob, P. Ehrlich and R.D. Allendoerfer, Macromolecules 5, 569 (1972).
R.A. Harris and L.M. Falicov, J. Chem. Phys. 51, 5034 (1969); A.A. Ovchinnikov, I.I. Ukrainskii and G.V. Kventsel, Usp. Fiz. Nauk 108, 81 (1972) (Sov. Phys. Usp. 15, 575 (1973)). See also the contribution of P. Horsch in this volume.
For recent work see S. Suhai, J. Chem. Phys. 73, 3843 (1980); A. Karpfen and R. Höller, Solid State Commun. 37, 179 (1981).
T. Ito, H. Shirakawa and S. Ikeda, J. Polym. Sci., Polym. Chem. Ed. 12, 11 (1974).
C.K. Chiang, C.R. Fincher, Y.W. Park, A.J. Heeger, H. Shirakawa, E.J. Louis, S.C. Gau and A.G. MacDiarmid, Phys. Rev. Lett. 39, 1098 (1977).
See e.g. the proceedings of two recent conferences, Physics in One Dimension , eds. J. Bernasconi and T. Schneider, Springer Series in Solid State Sciences, Vol. 23, Berlin 1981 and “Low-Dimensional Synthetic Metals” (Helsingor, 10-15 August 1980) to be published in Chemica Scripta.
For a recent review see D. Baeriswyl, G. Harbeke, H. Kiess and W. TMeyer, to be published in Electronic Properties of Polymers , eds. J. Mort and G. Pfister, Wiley, New York.
R.H. Baughman, S.L. Hsu, G.P. Pez and A.J. Signorelli, J. Chem. Phys. 68, 5405 (1978).
G. Lieser, G. Wegner, W. Müller, V. Enkelmann and W.H. Meyer, Makromol. Chem. Rap. Comm. 1, 627 (1980).
H. Shirakawa and S. Ikeda, Synth. Met. 1, 175 (1980).
W.H. Meyer, Synth. Met. 4, 81 (1981).
L.S. Lichtman and D.B. Fitchen, Synth. Met. 1, 139 (1980).
H. Kuzmany, phys. stat. sol. (b) 97, 521 (1980).
W.P. Su, J.R. Schrieffer and A.J. Heeger, Phys. Rev. Lett. 42, 1698 (1979) and Phys. Rev. B 22, 2099 (1980).
See Ref. 10, Section 3.2 for a discussion of the origin of the screening.
D. Vanderbilt and E.J. Meie, Phys. Rev. B 22, 3939 (1980).
G.V. Kventsel and Y.A. Kruglyak, Theor. Chim. Acta 12, 1 (1968).
M.J. Rice, Phys. Lett. 71A, 152 (1979).
S.A. Brazovskii, Pis’ma Zh. Eksp. Teor. Fiz. 28, 656 (1978) (Sov.Phys. JETP Letto 28, 606 (1979).
P.G. de Gennes, Superconductivity of Metals and Alloys, Benjamin, New York, 1966, Chapter 5.
H. Takayama, Y.R. Lin-Liu and K. Maki, Phys. Rev. B 21, 2388 (1980).
W.P. Su and J.R. Schrieffer, Proc. Natl. Acad. Sci. USA 77, 5626 (1980).
D.K. Campbell and A.R. Bishop, preprint 1981.
A. Kotani, J. Phys. Soc. Japan 42, 416 (1977).
M.J. Rice and J. Timonen, Phys. Lett. 73A, 368 (1979).
B. Horovitz, Phys. Rev. Lett. 46, 742 1 1981 ).
K. Dransfeld, private communication.
L. Lauchlan, S. Etemad, T.C. Chung, A.J. Heeger and A.G. MacDiarmid, preprint 1981.
H. Shirakawa, T. Ito and S. Ikeda, Makromol. Chem. 179, 1565 (1978).
I.B. Goldberg, H.R. Crowe, P.R. Newman, A.J. Heeger and A.G. MacDiarmid, J.Chem.Phys. 70, 1132 (1979).
B.R. Weinberger, J. Kaufer, A.J. Heeger, A. Pron and A.G. MacDiarmid, Phys. Rev. B 20, 223 (1979).
M. Nechtschein, F. Devreux, R.L. Greene, T.C. Clarke and G.B. Street, Phys. Rev. Lett. 44, 356 (1980).
K. Holczer, J.P. Boucher, F. Devreux and M. Nechtschein, Phys. Rev. B 23, 1051 (1981 ).
Y. Tomkiewicz et al. in Physics in One Dimension , eds. J. Bernasconi and T. Schneider, Springer Series in Solid State Sciences, Vol. 23, Berlin, 1981 .
N. Suzuki, M. Ozuki, S. Etemad, A.J. Heeger and A.G. MacDiarmid, Phys. Rev. Lett. 45, 1209 (1980), Erratum in Phys. Rev. Lett. 45, 1463 (1980).
J.T. Gammel and J.A. Krumhansl, preprint 1980.
E.J. Mele and M.J. Rice, Phys. Rev. Lett. 45, 926 (1980).
S. Kivelson, Phys. Rev. Lett. 46, 1344 (1981) and Preprint 1981.
A.J. Epstein, private communication.
S. Etemad et al. preprint 1980.
H. Fröhlich, Proc. Roy. Soc. A 223, 296 (1954).
P.A. Lee, T.M. Rice and P.W. Anderson, Solid State Commun. 14, 703 (1974).
M.J. Rice and E.J. Mele, Proc. Int. Conf. on Low-Dimensional Synthetic Metals (Helsingor, 10-15 Aug. 1980), to be published in Chemica Scripta.
W.P. Su, unpublished.
B.R. Weinberger, J. Kaufer, A.J. Heeger, A. Pron and A.G. MacDiarmid, Phys. Rev. B 20, 223 (1979).
R. Fincher Jr. et al., Phys. Rev. B 20, 1589 (1979).
M. Tanaka, A. Watanabe and J. Tanaka, Bull. Chem. Soc. Japan 52, 645 (1980).
P. Sheng, Phys. Rev. B 21, 2180 (1979).
S. Ikehata et al., Phys. Rev. Lett. 45, 1123 (1980).
M. Peo et al., Solid State Commun. 38, 467 (1981).
M. Peo et al., Solid State Commun. 35, 119 (1980).
A.J. Epstein, H. Rommelmann,,M.A. Druy, A.J. Heeger, and A.G. MacDiarmid, preprint 1981.
See the contribution by J.J. Ritsko in this volume.
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Baeriswyl, D. (1981). On the Theoretical Models for Polyacetylene. In: Pietronero, L., Tosatti, E. (eds) Physics of Intercalation Compounds. Springer Series in Solid-State Sciences, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81774-8_16
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DOI: https://doi.org/10.1007/978-3-642-81774-8_16
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