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arXiv 2302.13974cond-mat.mes-hallphysics.plasm-ph
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表面等离子体共振效应的集体量子研究

Collective Quantum Approach to Surface Plasmon Resonance Effect

M. Akbari-Moghanjoughi

摘要:

本文基于等离子体材料表面溢出电子的双长度尺度阻尼集体量子振荡,提出了表面等离子体共振(SPR)效应的理论。金属电子激发使用厄米有效薛定谔-泊松系统建模,而溢出电子激发通过阻尼非厄米有效薛定谔-泊松系统适当地适应在金属-真空界面建模。结果表明,在外场驱动下,系统在波数域表现为受驱动的阻尼振荡,在频域表现为受驱动的阻尼机械振荡,导致集体表面溢出电子激发共振。在这个模型中,当驱动赝力的波数与表面等离子体激元激发的波数相匹配时,共振发生,表面等离子体激元激发可以是由于单电子或集体效应。目前的SPR理论是基于表面电子的纵向静电激发,而不是平行于金属-电介质或金属-真空表面的极化激元激发。目前的理论也可以扩展到用于在非平面几何形状的纳米尺寸的金属表面的局域表面等离子体共振(LSPR)。得到了一个新的量子等离子体等离子体电子数密度的状态方程,该方程由于电子向等离子体能带的跃迁几率小,限制了高密度低温电子气区的等离子体效应.

英文摘要:

In this research we present a theory of the surface plasmon resonance (SPR) effect based on the dual length-scale driven damped collective quantum oscillations of the spill-out electrons in plasmonic material surface. The metallic electron excitations are modeled using the Hermitian effective Schrödinger-Poisson system, whereas, the spill-out electron excitations are modeled via the damped non-Hermitian effective Schrödinger-Poisson system adapted appropriately at the metal-vacuum interface. It is shows that, when driven by external field, the system behaves like the driven damped oscillator in wavenumber domain, quite analogous to the driven damped mechanical oscillation in frequency domain, leading to the collective surface spill-out electron excitation resonance. In this model the resonance occurs when the wavenumber of the driving pseudoforce matches that of the surface plasmon excitations which can be either due to single-electrons or collective effects. Current theory of SPR is based on longitudinal electrostatic excitations of the surface electrons, instead of the polariton excitation parallel to the metal-dielectric or metal-vacuum surface. Current theory may also be extended to use for the localized surface plasmon resonance (LSPR) in nanometer sized metallic surfaces in non-planar geometry. A new equation of state (EoS) for the plasmon electron number density in quantum plasmas is obtained which limits the plasmonic effects in high-density low-temperature electron gas regime, due to small transition probability of electrons to the plasmon energy band.

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