  Tuning magnetic order in magnetic semiconductors is a long sought goal. A
proper concentration of acceptors can dramatically suppress local magnetic
order in favor of the long one. Using Mn and an acceptor codoped LiZnAs as an
example, we demonstrate, by first-principles calculation, the emergence of a
long-range magnetic order. This intriguing phenomenon can be understood from an
interplay between an acceptor-free magnetism and a band coupling magnetism. Our
observation thus lays the ground for a precise control of the magnetic order in
future spintronic devices.
