A conductive layer in an integrated circuit is formed as a sandwich having multiple sublayers, including at least one sublayer of oriented carbon nanotubes. The conductive layer sandwich preferably contains two sublayers of carbon nanotubes, in which the carbon nanotube orientation in one sublayer is substantially perpendicular to that of the other layer. The conductive layer sandwich preferably contains one or more additional sublayers of a conductive material, such as a metal. In one embodiment, oriented carbon nanotubes are created by forming a series of elongated parallel catalyst strips on a horizontal surface, and growing carbon nanotubes from the catalyst in the presence of a directional flow of reactant gases.