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4 - Sharpness of the Fractional Charge

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 4 aims at establishing that the fractional charge calculated in Chapter 3 is sharp. To this end, the calculation of the mean value and second cumulant of the electronic charge localized in one of two wells of a double-well potential in quantum mechanics is contrasted to that of the mean value and second cumulant of the fractional charge localized around a soliton in a dimerization profile of polyacetylene support a pair of soliton and anti-soliton defects far apart from each other.

Keywords

Pair of soliton and anti-solitondouble-well potentialvariance of localized charge
Type
Chapter
Information
Fractionalization of Particles in Physics
Invertible Topological Phases of Matter
 , pp. 247 - 302
Publisher: Cambridge University Press
Print publication year: 2025

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