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Dimensionality Effects in trans-(CH) x

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Interacting Electrons in Reduced Dimensions

Part of the book series: NATO ASI Series ((NSSB,volume 213))

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Abstract

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 .

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Authors and Affiliations

  1. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    P. Vogl & D. K. Campbell

  2. Institut für Theoretische Physik, Universität Graz, Graz, A-8010, Austria

    P. Vogl

Authors
  1. P. Vogl
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  2. D. K. Campbell
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Editor information

Editors and Affiliations

  1. ETH, Zürich, Switzerland

    Dionys Baeriswyl

  2. Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    David K. Campbell

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© 1989 Plenum Press, New York

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Vogl, P., Campbell, D.K. (1989). Dimensionality Effects in trans-(CH) x . In: Baeriswyl, D., Campbell, D.K. (eds) Interacting Electrons in Reduced Dimensions. NATO ASI Series, vol 213. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0565-1_18

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  • DOI: https://doi.org/10.1007/978-1-4613-0565-1_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7869-6

  • Online ISBN: 978-1-4613-0565-1

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