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  • 3 - Fractionalization in Polyacetylene

  • Christopher Mudry, Paul Scherrer Institute, Villigen, Switzerland, Claudio Chamon, Boston University
  • Book:
    Fractionalization of Particles in Physics
    Published online:
    09 January 2025
    Print publication:
    23 January 2025, pp 58-246

  • Summary

    Chapter 3 is devoted to fractionalization in polyacetylene. Topological defects (solitons) in the dimerization of polyacetylene are introduced and shown to bind electronic zero modes. The fractional charge of these zero modes is calculated by different means: (1) The Schrieffer counting formula(2) Scattering theory(3) Supersymmetry(4) Gradient expansion of the current(5) Bosonization.

    The effects of temperature on the fractional charge and the robustness of the zero modes to interactions in polyacetylene are studied.