Metamagnetic transitions in strongly anisotropic antiferromagnets are
investigated within a quantum mechanical theory of correlated electron
s. We employ the Hubbard model with staggered magnetization m(st), alo
ng an easy axis e in a magnetic field H//e. On the-basis of the dynami
cal mean-field theory(DMFT) this model is studied both analytically an
d numerically. At intermediate couplings the self-consistent DMFT equa
tions, which become exact in the limit of a large coordination number,
are solved by finite temperature quantum Monte Carlo techniques. The
temperature and magnetic-field dependence of the homogeneous and stagg
ered magnetization are calculated and the magnetic phase diagram is co
nstructed. At half filling the metamagnetic transitions are found to c
hange from first order at low temperatures to second order near the Ne
el temperature, implying the existence of a multicritical point. Dopin
g;with holes or elections has a strong effect: the system becomes meta
llic, the electronic compressibility increases, and the critical tempe
ratures and fields decrease. These results are related to known proper
ties of insulating metamagnets such as FeBr2, metallic metamagnets suc
h as UPdGe, and the giant and colossal magnetoresistance found in a nu
mber of magnetic bulk systems.