They made the transistors on this radio out of carbon nanotubes.  The nanotubes can easily adapt to traditional circuit boards, the radio they made was put on a standard circuit board with headphones and antenna. 

The big breakthrough in this research was discovered by accident, normally creating carbon nanotubes is very time-consuming because carbon atoms usually doesn't form in a neat pattern when they bond.  One of the researchers noticed that there was a patch of carbon atoms that were bonding together in a neat fashion, and researchers successfully found a way to replicate the effect, making nanotube production much easier, and it has many different potential applications.  Northrop Grumman is looking into it for possible use in military communications systems.