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Quantum Monte Carlo (QMC) methods have been used to obtain accuratebinding-energy data for pairs of parallel thin metallic wires and layersmodeled by 1D and 2D homogeneous electron gases. We compare our QMC bindingenergies with results obtained within the random phase approximation, findingsignificant quantitative differences and disagreement over the asymptoticbehavior for bilayers at low densities. We have calculated pair-correlationfunctions for metallic biwire and bilayer systems. Our QMC data could be usedto investigate van der Waals energy functionals.

van der Waals Interactions Between Thin Metallic Wires and Layers