Collective versus single-particle effects in the optical spectra of finite electronic quantum systems

Details Collective versus single-particle effects in the optical spectra of finite electronic quantum systems Collective versus single-particle effects in the optical spectra of finite electronic quantum systems

2000-11-19

arxiv.org/abs/cond-mat/0011315v1

Phys. Rev. B 63, 241403 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.63.241403

We study optical spectra of finite electronic quantum systems at frequencies smaller than the plasma frequency using a quasi-classical approach. This approach includes collective effects and enables us to analyze how the nature of the (single-particle) electron dynamics influences the optical spectra in finite electronic quantum systems. We derive an analytical expression for the low-frequency absorption coefficient of electro-magnetic radiation in a finite quantum system with ballistic electron dynamics and specular reflection at the boundaries: a two-dimensional electron gas confined to a strip of width a (the approach can be applied to systems of any shape and electron dynamics -- diffusive or ballistic, regular or irregular motion). By comparing with results of numerical computations using the random-phase approximation we show that our analytical approach provides a qualitative and quantitative understanding of the optical spectrum.

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