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3 - Fractionalization in Polyacetylene

Published online by Cambridge University Press:  09 January 2025

Christopher Mudry  and
Claudio Chamon
Christopher Mudry
Affiliation:
Paul Scherrer Institute, Villigen, Switzerland
Claudio Chamon
Affiliation:
Boston University
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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.

Keywords

Point defectssolitonszero modesWitten indexspectral flowsbosonization
Type
Chapter
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Fractionalization of Particles in Physics
Invertible Topological Phases of Matter
 , pp. 58 - 246
Publisher: Cambridge University Press
Print publication year: 2025

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