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The geometric and electronic properties of small two-dimensional (2D) AuN $(N=2--20)$ clusters are studied using the density-functional method. The lowest-energy geometries of a closed-packed nature are selected for 2D Au₂-Au₈ clusters. A clear odd-even oscillation is found for the stability and energy gaps of AuN clusters with $N<~15.$ The polarizabilities of the 2D clusters are calculated and found to be strongly anisotropic. In the normal direction of a 2D cluster, the polarizability is smaller than that of bulk Si, indicating a nonmetallic character. A fitting formula is proposed to estimate the polarizability of a 2D Au cluster with arbitrary size and shape in the normal direction. The behavior of a 2D Au cluster in a strong electric field is also discussed.
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Zhao et al. (2003) studied this question.
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