Working Paper Article Version 1 This version is not peer-reviewed

Negative Effective Mass in Plasmonic Systems, II: Elucidating of Optical and Acoustical Branches of Vibrations and the Possibility of Anti-Resonance Propagation

Version 1 : Received: 20 July 2020 / Approved: 21 July 2020 / Online: 21 July 2020 (13:38:18 CEST)

A peer-reviewed article of this Preprint also exists.

Bormashenko, E.; Legchenkova, I.; Frenkel, M. Negative Effective Mass in Plasmonic Systems II: Elucidating the Optical and Acoustical Branches of Vibrations and the Possibility of Anti-Resonance Propagation. Materials 2020, 13, 3512. Bormashenko, E.; Legchenkova, I.; Frenkel, M. Negative Effective Mass in Plasmonic Systems II: Elucidating the Optical and Acoustical Branches of Vibrations and the Possibility of Anti-Resonance Propagation. Materials 2020, 13, 3512.

Journal reference: Materials 2020, 13, 3512
DOI: 10.3390/ma13163512

Abstract

We report the negative effective mass metamaterials based on the electro-mechanical coupling exploiting plasma oscillations of a free electron gas. The negative mass appears as a result of vibration of a metallic particle with a frequency of ω which is close to the frequency of the plasma oscillations of the electron gas m_2 relatively to the ionic lattice m_1. The plasma oscillations are represented with the elastic spring k_2=ω_p^2 m_2, where ω_p is the plasma frequency. Thus, the metallic particle vibrated with the external frequency ω is described by the effective mass m_eff=m_1+(m_2 ω_p^2)/(ω_p^2-ω^2 ) , which is negative when the frequency ω approaches ω_p from above. The idea is exemplified with two conducting metals, namely Au and Li embedded into various matrices. The one-dimensional lattice built of the identical metallic micro-elements m_eff connected by ideal springs k_1 representing various media such as polydimethylsiloxane and soda-lime glass is treated. The optical and acoustical branches of longitudinal modes propagating through the lattice are elucidated for various ratios ω_1/ω_p . The 1D lattice built of the thin metallic wires giving rise to the low frequency plasmons is treated. The possibility of the anti-resonant propagation, strengthening the effect of the negative mass occurring under  = p = 1 is addressed.

Subject Areas

metamaterials; negative effective mass; plasma oscillations; low frequency plasmons; optical and acoustical branches.

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