Abstract
The collective electronic excitation (plasmon) modes of athree-dimensional distribution of quantum wires such as thoseproduced in mesoporous silica (MCM-41) have been calculated. Theplasmon frequencies are found to be strongly dispersive formomentum components both parallel and perpendicular to the axesof the quantum wires. The lowest subband plasmon modes areacoustic for momentum components parallel to the wires and theyare optical for momentum components perpendicular to the wires.A comparison with the plasmon modes of a single quantum wire orof a uniform three-dimensional electron gas (3DEG) indicatesthat for plasmon wavelengths small (wavevector q large)compared with inter-quantum-wire distance a, i.e. for aq>>1, thecalculated modes would tend to those of a single quantum wire,and they tend to those of the 3DEG for large wavelengths(aq<<1). The contribution of the lattice formed by thequantum wires in mesoporous silica is dominant for intermediatewavelengths (0<<aq<<∞).
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