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We compute the $T=0K$ Van der Waals (nonretarded Casimir) interaction energy$E$ between two infinitely long, crossed conducting wires separated by aminimum distance $D$ much greater than their radius. We find that, up to alogarithmic correction factor, $E\propto -D^{-1}| \sin \theta | ^{-1}f(\theta)$where $f(\theta)$ is a smooth bounded function of the angle $\theta$ betweenthe wires. We recover a conventional result of the form $E\propto-D^{-4}|\sin\theta | ^{-1}g(\theta)$ when we include an electronic energy gapin our calculation. Our prediction of gap-dependent energetics may beobservable experimentally for carbon nanotubes, either via AFM detection of thevdW force or torque, or indirectly via observation of mechanical oscillations.This shows that strictly parallel wires, as assumed in previous predictions,are not needed to see a novel effect of this type.

Dispersion interaction between crossed conducting wires