Abstract
A two-chain version of the original Su-Schrieffer-Heeger model with a strong interchain coupling is analysed for the case of a half-filled band, using a self-consistent iteration procedure and a continuum description in conjunction with bosonisation techniques. The problem of the stability of the iteration procedure is addressed and it is shown that the iteration converges to the (local) minima of the total ground state energy. The ground state of the present model is a trimerisation but also other homogeneous (metastable) phases are possible. The solitons in the model are of phason, amplitudon and intermediary type, but other more complicated solitons are also observed.
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Su, W.P., Schrieffer, J.R., Heeger, A.J.: Phys. Rev. Lett.42, 1698 (1979); Phys. Rev. B22, 2099 (1980)
Peierls, R.E.: Quantum theory of solids. Oxford: Clarendon Press 1955
Su, W.P., Schrieffer, J.R.: Proc. Natl. Acad. Sci. USA77, 5626 (1980)
Su, W.P. Schrieffer, J.R.: Phys. Rev. Lett.46, 738 (1981)
Su, W.P.: Phys. Rev. B27, 370 (1983)
Stafström, S.: Phys. Rev. B31, 6058 (1985)
Ono, Y., Ohfuti, Y., Terai, A.: J. Phys. Soc. Jpn.54, 2641 (1985)
Ohfuti, Y., Ono, Y.: J. Phys. Soc. Jpn.54, 4680 (1985)
Baeriswyl, D., Maki, K.: Phys. Rev. B28, 2068 (1983)
Stafström, S., Chao, K.A.: Phys. Rev. B29, 2255 (1984)
Stafström, S., Chao, K.A.: Phys. Rev. B30, 2098 (1984)
Chao, K.A., Wang, Y.: Phys. C: Solid State Phys.18, L1127-L1132 (1985)
Terai, A., Ono, Y.: J. Phys. Soc. Jpn.55, 213 (1986)
Janssen, T., Tjon, J.A.: J. Phys. A: General Phys.16, 673 (1983)
Allroth, E., Müller-Krumbhaar, H.: Phys. Rev. A27, 1575 (1983)
Aubry, S., Le Daeron, P.Y.: Physica D8, 381 (1983)
Landau, L.D.: Sov. Phys. JETP3, 920 (1957);5, 101 (1957);8, 70 (1959)
Hellmann, H.: Einführung in die Quantenchemie. Leipzig:Deuticke 1937
Feynman, R.P.: Phys. Rev.56, 340 (1939) and undergraduate thesis MIT (1939) (unpublished)
e.g. Hohn, F.E.: Elementary matrix algebra, First Edition, p. 270, New York: MacMillan 1958
Takayama, H., Lin-Liu, Y.R., Maki, K.: Phys. Rev. B21, 2388 (1980)
Horovitz, B.: Phys. Rev. B22, 1101 (1980)
Tinka Gammel, J., Krumhansl, J.A.: Phys. Rev. B27, 7659 (1983)
Horovitz, B., Krumhansl, J.A.: Phys. B29, 2109 (1984)
Hara, J., Fukuyama, H.: J. Phys. Soc. Jpn.52, 2128 (1983)
Tomonaga, S.: Prog. Theor. Phys.5, 544 (1950)
Luther, A., Peschel, I.: Phys. Rev. B9, 2911 (1974)
Luther, A., Emery, V.: Phys. Rev. Lett.33, 589 (1974)
Emery, V.: Theory of the one-dimensional electron gas. In: Highly conducting one-dimensional solids. Devreese, J.T., Evrard, R.P., Doren, V.E. van (eds.). New York: Plenum Press 1979
Luttinger, J.M.: J. Math. Phys.4, 1154 (1963)
Luther, A.: Phys. Rev. B9, 320 (1979)
Mattis, D.C., Lieb, E.H.: J. Math. Phys.6, 304 (1965)
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Slot, J.J.M., Knops, H.J.F. Ground state and non-linear excitations of two strongly coupled Su-Schrieffer-Heeger chains. Z. Physik B - Condensed Matter 66, 107–123 (1987). https://doi.org/10.1007/BF01312768
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DOI: https://doi.org/10.1007/BF01312768