Coupled tunneling plasmon excitations in a planar array of quantum dots

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Abstract
We present a quantum-mechanical calculation of the plasmon excitations in a planar array of tunneling quantum dots. The dispersion relations of these modes are derived within the framework of the tight-binding approximation between adjacent dots and the random-phase approximation. In the presence of tunneling, both the depolarization shifts and the splitting between the longitudinal and transverse modes are greatly enhanced and are well above the experimental resolution. This makes the detection of these modes possible in Raman-scattering experiments. The present model also predicts that the gap position of the transverse mode is at the Γ point.