Infrared activity of Peierls systems and application to polyacetylene

B. Horovitz

doi:10.1016/0038-1098(82)91126-7

Infrared activity of Peierls systems and application to polyacetylene

B. Horovitz

Research output: Contribution to journal › Article › peer-review

316 Scopus citations

Abstract

The conductivity of added charge (e.g. solitons) to a dimerized Peierls condensate with N coupled phonon bands is considered. If the phonon frequencies are low compared with the Peierls gap and the charge extends over several atoms then: (a) The infra-red frequencies Ω^φ_n(n = 1, 2, ..., N) and their relative weights are independent of the charge configuration. (b) The product Π^N_n=1(Ω^φ_n/Ω^R_n), where Ω^R_n are the Raman frequencies, is isotope independent. The results are valid even if electron-electron interactions are present and a pinning effect is included. The product rule (b) is in good agreement with data on trans (CH)_x and (CD)_x. This data also yields the coupling constants and the pinning force.

Original language	English
Pages (from-to)	729-734
Number of pages	6
Journal	Solid State Communications
Volume	41
Issue number	10
DOIs	https://doi.org/10.1016/0038-1098(82)91126-7
State	Published - 1 Jan 1982
Externally published	Yes

ASJC Scopus subject areas

Chemistry (all)
Condensed Matter Physics
Materials Chemistry

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abstract = "The conductivity of added charge (e.g. solitons) to a dimerized Peierls condensate with N coupled phonon bands is considered. If the phonon frequencies are low compared with the Peierls gap and the charge extends over several atoms then: (a) The infra-red frequencies Ωφn(n = 1, 2, ..., N) and their relative weights are independent of the charge configuration. (b) The product ΠNn=1(Ωφn/ΩRn), where ΩRn are the Raman frequencies, is isotope independent. The results are valid even if electron-electron interactions are present and a pinning effect is included. The product rule (b) is in good agreement with data on trans (CH)x and (CD)x. This data also yields the coupling constants and the pinning force.",

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N2 - The conductivity of added charge (e.g. solitons) to a dimerized Peierls condensate with N coupled phonon bands is considered. If the phonon frequencies are low compared with the Peierls gap and the charge extends over several atoms then: (a) The infra-red frequencies Ωφn(n = 1, 2, ..., N) and their relative weights are independent of the charge configuration. (b) The product ΠNn=1(Ωφn/ΩRn), where ΩRn are the Raman frequencies, is isotope independent. The results are valid even if electron-electron interactions are present and a pinning effect is included. The product rule (b) is in good agreement with data on trans (CH)x and (CD)x. This data also yields the coupling constants and the pinning force.

AB - The conductivity of added charge (e.g. solitons) to a dimerized Peierls condensate with N coupled phonon bands is considered. If the phonon frequencies are low compared with the Peierls gap and the charge extends over several atoms then: (a) The infra-red frequencies Ωφn(n = 1, 2, ..., N) and their relative weights are independent of the charge configuration. (b) The product ΠNn=1(Ωφn/ΩRn), where ΩRn are the Raman frequencies, is isotope independent. The results are valid even if electron-electron interactions are present and a pinning effect is included. The product rule (b) is in good agreement with data on trans (CH)x and (CD)x. This data also yields the coupling constants and the pinning force.

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Infrared activity of Peierls systems and application to polyacetylene

Abstract

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