We have calculated the phase diagram of the symmetric one-dimensional Ander
son lattice using the local mean-field method, which can reveal the basic p
roperties of the system throughout the entire parameter space. Near quarter
and half filling the antiferromagnetic phase is the ground state. For inte
rmediate band filling there is a continuous second-order phase transition t
o a ferromagnetic state. At quarter filling there is a transition from a me
tallic paramagnetic state to an insulating antiferromagnetic state as the o
n-site Coulomb interaction increases. (C) 2001 American Institute of Physic
s.