We have grown vertically aligned single-walled carbon nanotube forests with an area density of 1.5 × 10<sup>13</sup> cm<sup>–2</sup>, the highest yet achieved, by reducing the average diameter of the nanotubes. We use a nanolaminate Fe–Al<sub>2</sub>O<sub>3</sub> catalyst design consisting of three layers of Al<sub>2</sub>O<sub>3</sub>, Fe, and Al<sub>2</sub>O<sub>3</sub>, in which the lower Al<sub>2</sub>O<sub>3</sub> layer is densified by an oxygen plasma treatment to increase its diffusion barrier properties, to allow a thinner catalyst layer to be used. This high nanotube density is desirable for using carbon nanotubes as interconnects in integrated circuits