Dielectric matrix and plasmon dispersion in strongly coupled electronic bilayer liquids

Details Dielectric matrix and plasmon dispersion in strongly coupled electronic bilayer liquids Dielectric matrix and plasmon dispersion in strongly coupled electronic bilayer liquids

2004-10-22

arxiv.org/abs/cond-mat/0410575v1

Physics

Condensed Matter

Other Condensed Matter

53 pages including 15 Figures with their captions. Submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.71.036401

We develop a dielectric matrix and analyze plasmon dispersion in strongly coupled charged-particle bilayers in the quantum domain. The formulation is based on the classical quasi-localized charge approximation (QLCA) and extends the QLCA formalism into the quantum domain. Its development, which parallels that of 2D companion paper [Phys. Rev. E 70, 026406 (2004)] by three of the authors, generalizes the single-layer scalar formalism therein to a bilayer matrix formalism. Using pair correlation function data generated from diffusion Monte Carlo simulations, we calculate the dispersion of the in-phase and out-of-phase plasmon modes over a wide range of in-layer coupling values and layer spacings. The out-of-phase spectrum exhibits an exchange-correlation induced long-wavelength energy gap in contrast to earlier predictions of acoustic dispersion softened by exchange-correlations. The energy gap is similar to what has been previously predicted for classical charged-particle bilayers and subsequently confirmed by recent molecular dynamics computer simulations.

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