Dimensionality Effects in trans-(CH)x

  • P. Vogl
  • D. K. Campbell
Part of the NATO ASI Series book series (NSSB, volume 213)


In a conference proceedings devoted to “interacting electrons in reduced dimensions” it might at first seem inappropriate to discuss a calculation of the full three-dimensional (3-D) structure of trans-polyacetylene [trans-(CH) x ]. This impression is only strengthened by the very extensive literature on one-dimensional (1-D) models of trans-(CH) x , much of it focusing on the seemingly more relevant—at least in the present context—issue of the relative importance of electron-electron (e-e) versus electron-phonon (e-p) interactions [for reviews, see1–6]. Nonetheless, as we hope will become apparent, the (often fairly small) interchain couplings that are present in the real solid state materials can alter profoundly expectations based on strictly 1-D models. For trans-(CH) x this is particularly the case. Thus, if nothing else, our contribution serves as a reminder that the issue of dimensionality can in fact be absolutely crucial in determining the properties of even highly anisotropic, “low”-dimensional materials, independent of which interactions appear to be dominant. To begin our discussion, we start from an analysis of the ground state of crystalline trans-(CH) x .


Intrinsic Defect Electronic Band Structure Interchain Interaction Displacement Pattern Hamiltonian Matrix Element 
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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • P. Vogl
    • 1
    • 2
  • D. K. Campbell
    • 1
  1. 1.Theoretical Division and Center for Nonlinear StudiesLos Alamos National LaboratoryLos AlamosUSA
  2. 2.Institut für Theoretische PhysikUniversität GrazGrazAustria

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