CANCELLATION OF SIZE-LINEAR TERMS IN THE 3RD-ORDER NONLINEAR SUSCEPTIBILITY - FRENKEL EXCITONS IN A PERIODIC CHAIN

被引:84
作者
ISHIHARA, H
CHO, K
机构
[1] Faculty of Engineering Science, Osaka University
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 03期
关键词
D O I
10.1103/PhysRevB.42.1724
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
For a system of noninteracting Frenkel excitons in a one-dimensional lattice of size N with periodic boundary conditions, the third-order optical susceptibility ‡(3) has been calculated rigorously in a nonlocal form with arbitrary dependence on external-field frequencies. Among the various terms in ‡(3) (per unit volume), those explicitly proportional to N in the long-wavelength approximation have been shown to cancel out completely for arbitrary N. The remaining terms, including the effect of nonlocality, reduce to the well-known result of a two-level system in the limit of vanishing transfer energy. There remain N-dependent factors in ‡(3), with different functional forms for even and odd N, but they all approach unity in the limit of large N. © 1990 The American Physical Society.
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页码:1724 / 1730
页数:7
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