Everyone knows about the five most common forms of matter, solid, liquid, gas, plasma, and glass; the three classical and the two most common non-classical forms. The other 10 created forms, not so much. However I do have to point out my favorite cold state of matter, the Bose–Einstein condensate, which has the unique ability to slow down light to a relative crawl (23 meters per second) while still maintaining information. The amazing things you can do near absolute zero.
Now a group of scientist has mathematically demonstrated another form of matter, one that could keep Moore’s Law alive and kicking into the vital future field of quantum computing. Introducing the Spin Liquid, this form of matter uses a nano scale hexagonal lattice (and more complex structures to take advantage of Next Nearest Neighbor interactions) in order to elicit similar electron responses to those found in pure feros materials. Basically, the lattice work counteracts the natural tendency for particles to acquire spin and allow them to flow freely inside the structure. Though currently only conceptually feasible in cold state systems, another handy superconductor for humanity is always useful, now someone just has to make it.