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Dipole plasmon resonances are ubiquitous in nano-particles with delocalizedcharge carriers. Doped semi-conductor colloidal nano-crystals constitute anovel paradigm for plasmon excitations in a finite electron system and offerthe possibility to tune the carrier density and thus the dipole resonance fromvisible to infra-red, which cannot be achieved with metallic clusters.Restricting ourselves to highly n-doped ZnO nano-crystals, we explain theobserved smooth transition from small sizes dominated by quantum effects tolarge sizes where the resonance reaches its classical value. A schematic twointeracting highly degenerate level quantum model, validated by a full RandomPhase Approximation calculation, yields nicely the experimentally observedtrends.

From quantum to classical dipole plasmon resonances in highly-doped nano-crystals