Fermi-liquid and Fermi surface geometry effects in propagation of low frequency electromagnetic waves through thin metal films

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In the present work we theoretically analyze the contribution from a transverse Fermi-liquid collective mode to the transmission of electromagnetic waves through a thin film of a clean metal in the presence of a strong external magnetic field. We show that at the appropriate Fermi surface geometry the transverse Fermi-liquid wave may appear in conduction electrons liquid at frequencies $ω$ significantly smaller than the cyclotron frequency of charge carriers $Ω$ provided that the mean collision frequency $τ^{-1}$ is smaller than $ω.$ Also, we show that in realistic metals size oscillations in the transmission coefficient associated with the Firmi-liquid mode may be observable in experiments. Under certain conditions these oscillations may predominate over the remaining size effects in the transmission coefficient.
9 pages, 5 figures, text added

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