  We explore the magnetic phases in a Kondo lattice model on the geometrically
frustrated Shastry-Sutherland lattice at metallic electron densities, searching
for noncollinear and noncoplanar spin textures. Motivated by experimental
observations in many rare-earth-based frustrated metallic magnets, we treat the
local moments as classical spins and set the coupling between the itinerant
electrons and local moments as the largest energy scale in the problem. Our
results show that a noncollinear flux state is stabilized over an extended
range of Hamiltonian parameters. These spin states can be quenched efficiently
by external fields like temperature and magnetic field as well as by varying
the degree of frustration in the electronic itinerancy and exchange coupling
between local moments. Interestingly, unlike insulating electron densities that
we discussed in paper I of this sequence, a Dzyaloshinskii-Moriya interaction
between the local moments is not essential for the emergence of their
noncollinear ordering.
