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2 - Modeling 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 2 is a gentle introduction to the many-body physics of polyacetylene. Band theory for electrons hopping along a one-dimensional lattice is explained. The continuum limit is taken. An example of a quantum critical point with its emergent symmetries is given. The Su–Schrieffer–Heeger (SSH) model for polyacetylene is defined and solved at the mean-field level.

Keywords

PolyacetylenefermiologySu–Schrieffer–Heeger (SSH) modelPeierls instability
Type
Chapter
Information
Fractionalization of Particles in Physics
Invertible Topological Phases of Matter
 , pp. 7 - 57
Publisher: Cambridge University Press
Print publication year: 2025

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