Reviews of topical problems

Fractional charge in quantum field theory and solid-state physics

Topological solitons that polarize the Dirac vacuum can assume fractional fermion (and electric) charge. The effect is investigated in detail in low-dimensional [(1+1)- and (2+1)-dimensional space-time] quantum field theory models. A review is given of phenomena associated with fractional charges found experimentally in quasi-one-dimensional (spin-charge anomaly in lightly doped polyacetylene) and two-dimensional systems (quantum Hall effect). Topics covered include: (1) fractional charge in one-dimensional quantum field theory models, (2) anomalous quantum numbers in the Peierls--Fr\"ohlich system, and (3) twodimensional models of quantum field theory and the quantum Hall effect.

PACS: 11.10.Lm, 11.30.Pb, 11.30.Rd, 12.20.−m, 73.43.Jn (all)
DOI: 10.1070/PU1987v030n05ABEH002884
Citation: Krive I V, Rozhavskii A S "Fractional charge in quantum field theory and solid-state physics" Sov. Phys. Usp. 30 370–392 (1987)
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Оригинал: Криве И В, Рожавский А С «Дробный заряд в квантовой теории поля и физике твердого тела» УФН 152 33–74 (1987); DOI: 10.3367/UFNr.0152.198705b.0033

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