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Quantum size effects in the optical properties of small metallic particles
Abstract
The electric-dipole susceptibility of small metal particles of characteristic dimension $L$ is calculated within the random-phase approximation on the assumption that ${k}_{F}^{\ensuremath{-}1}<<L<<\ensuremath{\lambda}$, where $\ensuremath{\lambda}$ is the wavelength of the electromagnetic field and ${k}_{F}$ the Fermi wave vector for bulk metal. Electron scattering is introduced in a number-conserving relaxation time approximation, and the optical conductivity of a single particle and the absorption coefficient for a suspension of such particles are determined. The matrix elements for cubical particles are sufficiently tractable that the evolution of the optical properties with particle size may be followed down to a metal-insulator transition demonstrated to occur for particle dimensions ($\frac{\ensuremath{\sim}1}{{k}_{F}}$) consistent with the Ioffe-Regel localization criterion. The far-infrared absorption coefficient is found to diverge as the critical particle size is approached. The surface plasmon is monotonically red-shifted and considerably broadened by Landau damping. Criteria for observing the discrete optical structure in small metallic particles are presented.
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Metadata
- Authors
- Wood, D. M., & Ashcroft, N. W.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1982-05-15
- Volume
- 25
- Issue
- 10
- Pages
- 6255-6274
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2025948248
- Cited by
- 261
- References
- 31
- FWCI
- 18.20
- Type
- journal article
- Language
- en
- Open access
- closed
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