"Flux" state in the double-exchange model

We study the ground-state properties of the double-exchange systems. The ph ase factor of the hopping amplitude arises from the t(2g) spin texture in t wo or more dimensions. A novel "flux" state has a lower energy than the can ted antiferromagnetic and spiral spin states. In a certain range of hole do ping, a phase separation occurs between the flux state and antiferromagneti c states. Constructing a trial state which provides the rigorous upper boun d on the ground state, we show that the metallic canted antiferromagnetic s tate is not stable in the double-exchange model.