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Phase diagram of one-dimensional electron-phonon and relativistic field theory models: Renormalization-group studies

  • Session II: Nonlinear waves — Solitons
  • Conference paper
  • First Online:
Trends in Applications of Pure Mathematics to Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 249))

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Abstract

This paper a) reviews the formal connection between coupled Fermi-Bose models which support soliton excitations in condensed-matter and relativistic-field theory, b) uses renormalization-group (RG) arguments to study their phase diagram at T=O°K and, c) presents a RG analysis and comparison with Monte-Carlo data of the effect of Bose quantum fluctuations on the Su-Schrieffer-Heeger (SSH) model for one-dimensional electron-phonon systems like polyacetylene.

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Authors and Affiliations

  1. Max-Planck-Institut für Festkörperforschung, D-7000, Stuttgart 80, Germany

    W. Hanke

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  1. W. Hanke
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Editor information

Ekkehart Kröner Klaus Kirchgässner

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© 1986 Springer-Verlag

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Hanke, W. (1986). Phase diagram of one-dimensional electron-phonon and relativistic field theory models: Renormalization-group studies. In: Kröner, E., Kirchgässner, K. (eds) Trends in Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016393

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  • DOI: https://doi.org/10.1007/BFb0016393

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16467-8

  • Online ISBN: 978-3-540-39803-5

  • eBook Packages: Springer Book Archive

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