They normally become paramagnetic at temperatures above the Neel point.  
An LBL experiment found that lanthanum iron oxide, which exhibits this property, has corresponding domains matching the size and orientation of its crystals.  Film which exhibits it is leveraged in exchange anisotropies to pin the states of readback heads of hard disks.  Manganese oxide is an example of a material that exhibits it. In general this phenomenon occurs only at low temperatures, where the materials have no response to an applied magnetic field. They normally become paramagnetic at temperatures above the Neel point.  FTP, name this phenomenon in which neighboring electron spins point in opposite directions.
An LBL experiment found that lanthanum iron oxide, which exhibits this property, has corresponding domains matching the size and orientation of its crystals.  
antiferromagnetism