A microscopic theory of the pinning effect in Peierls systems with dilute impurities

Susumu Kurihara

研究成果: Article

26 引用 (Scopus)

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Effect of dilute impurities on Frohlich's collective mode is investigated by solving the Dyson equation for the collective mode Green's function which includes self-consistently an infinite series of impurity scattering processes occuring through electronic bubbles. The Dyson equation is shown to reduce to a simple algebraic equation in the low frequency region of interest. The electrical conductivity σ(ω) is examined and related to the collective mode Green's function. An analytic solution to the reduced Dyson equation is obtained. The resulting expression for conductivity is very simple: σ(ω)∝ω-3 √ ω2-(1/2) ω2 twhere ωT is a constant. The analytic expression for σ(ω) describes the pinning effect fairly well: it gives a sharp asymmetric peak at (√3/2)ωT with width ∼ωT, and it satisfies exactly the conductivity sum rule for the collective mode.

元の言語English
ページ(範囲)1488-1498
ページ数11
ジャーナルJournal of the Physical Society of Japan
41
発行部数5
出版物ステータスPublished - 1976 11
外部発表Yes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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