Superconductivity is a phenomenon of exactly zero electrical resistance and expulsion of magnetic fields occurring in certain materials when cooled below a characteristic critical temperature.
Superconducting is preferable to "superconductive" as an adjective (though both are technically correct).
The superconducting wires on the Large Hadron Collider are maintained at 1.9 K (-271.3 °C) – colder than outer space – by a closed liquid-helium circuit.