Hyperpolarizabilities for the one-dimensional infinite single-electron periodic systems. I. Analytical solutions under dipole-dipole correlations
نویسندگان
چکیده
منابع مشابه
Hyperpolarizabilities for the one-dimensional infinite single-electron periodic systems. I. Analytical solutions under dipole-dipole correlations.
The analytical solutions for the general-four-wave-mixing hyperpolarizabilities chi(3)[-(omega1 + omega2 + omega3);omega1,omega2,omega3] on infinite chains under both Su-Shrieffer-Heeger and Takayama-Lin-Liu-Maki models of trans-polyacetylene are obtained through the scheme of dipole-dipole correlation. Analytical expressions of dc Kerr effect chi(3)(-omega;0,0,omega), dc-induced second-harmoni...
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Based on Takayama-Lin-Liu-Maki model, analytical expressions for the third-harmonic generation, dc Kerr effect, dc-induced second-harmonic optical Kerr effect, optical Kerr effect or intensity-dependent index of refraction, and dc-electric-field-induced optical rectification are derived under the static current-current (J0J0) correlation for one-dimensional infinite chains. The results of hyper...
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Here dp is the normalized rotation invariant measure on Sd−1. The fields φ(x) are a family of Gaussian random variables indexed by x ∈ Z with mean zero and covariance given by the positive definite function C(x, y). The measure μC is the underlying measure. To make the connection with the dipole gas one expands the exponential in (4) and carries out the Gaussian integrals. Similarly one can def...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2005
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.1989307