Companies have been trying to find a way around Moore's Law for quite some time now, and a large part of that search involves new materials.  One such material is called Graphene, and can be made into flexible sheets only a single atom thin.

"Graphene is mechanical tough, flexible, transparent, and a great conductor of heat.  The new research shows that it would make an ideal double both in transistors and in interconnects, replacing silicon and copper to form ultra-high frequency circuits.  Further, it could be ideally applied to vast amount of applications including photovoltaics, lcd panels, and sensors, all of which rely on optimal conductivity/electrical behavior."

Currently Graphene is in the fairly early stages of being developed and tested for use in circuitry, and isn't widely available in a suitably refined quality to begin any large scale testing.