Electronics360: "Atomically thin electronic heat shields based on sound principles"

A single-walled sheet of carbon nanotube is known to produce heat when excited at the edges with electricity. E.G., this has been used to generate acoustic signals due to the distortion caused by the heat.

This phenomenon has been shown to be reversible, so that any heat due to other sources should produce a voltage at terminals attached to the edges. Would it be possible to tap this voltage, and use it to create an equal-but-opposite phase signal to eliminate the heat (just like noise-quieting headphones)? I am thinking that heat is energy, and so is an acoustic signal.