  We study the extended Hubbard model on the triangular lattice as a function
of filling and interaction strength. The complex interplay of kinetic
frustration and strong interactions on the triangular lattice leads to exotic
phases where long-range charge order, antiferromagnetic order, and metallic
conductivity can coexist. Variational Monte Carlo simulations show that three
kinds of ordered metallic states are stable as a function of nearest neighbor
interaction and filling. The coexistence of conductivity and order is explained
by a separation into two functional classes of particles: part of them
contributes to the stable order, while the other part forms a partially filled
band on the remaining substructure. The relation to charge ordering in charge
transfer salts is discussed.
