A conductive layer in an integrated circuit is formed as a sandwich having multiple sublayers, including at least two sublayers of oriented carbon nanotubes. A first sublayer is created by growing carbon nanotubes in a first direction parallel to the chip substrate from a catalyst in the presence of a reactant gas flow in the first direction, and a second sublayer is created by growing carbon nanotubes in a second direction parallel to the substrate and different from the first direction from a catalyst in the presence of a reactant gas flow in the second direction. The first and second directions are preferably substantially perpendicular. The conductive layer sandwich preferably contains one or more additional sublayers of a conductive material, such as a metal.