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Self-Consistent Theoretical Framework for Third-Order Nonlinear Susceptibility in CdSe/ZnS–MOF Quantum Dot Compositesстатья
- Авторы: Jingxu Wu, Yifan Yang, Jie Shi, Yuwei Yin, Yifan He, Chenjia Li
- Журнал: Annalen der Physik
- Том: 3
- Год издания: 2026
- Издательство: WILEY-V C H VERLAG GMBH
- Местоположение издательства: PO BOX 10 11 61, WEINHEIM, GERMANY,D-69451
- Первая страница: 00587
- Последняя страница: 10
- DOI: 10.1002/andp.202500587
- Аннотация: This work presents a fully theoretical and self-consistent framework for calculating the third-order nonlinear susceptibility $\chi ^{(3)}$ of CdSe/ZnS?MOF composite quantum dots. The approach unifies finite-potential quantum confinement, the Liouville-von Neumann density matrix expansion to third order, and effective-medium electrodynamics (Maxwell?Garnett and Bruggeman) within a single Hamiltonian-based model, requiring no empirical fitting. Electron-hole quantized states and dipole matrix elements are obtained under the effective-mass approximation with BenDaniel?Duke boundary conditions; closed analytic forms for $\chi ^{(3)}(\omega)$ (including Lorentzian/Voigt broadening) follow from the response expansion. Homogenization yields macroscopic scaling laws $\chi _{\mathrm{eff}}^{(3)}(\omega)\sim \phi \,|L(\omega)|^{4}\chi ^{(3)}(\omega)$ that link microscopic descriptors (core radius, shell thickness, dielectric mismatch) to bulk coefficients $n_{2}$ and $\beta$. A Kramers?Kronig consistency check confirms causality and analyticity of the computed spectra with small residuals. The formalism provides a predictive, parameter-transparent route to engineer third-order nonlinearity in hybrid quantum materials, clarifying how size and environment govern the magnitude and dispersion of $\chi ^{(3)}$.
- Добавил в систему: У Цзинсюй