  The competition between the Ruderman-Kittel-Kasuya-Yosida effect and Kondo
effect is a central subject of periodic Anderson model. By using the density
matrix embedding theory, we study a three orbital periodic Anderson model, in
which the effects of degenerate conduction orbitals via the local magnetic
moments, number of electrons, and spin-spin correlation functions, are
investigated. From the phase diagram at half filling, we find there exists two
different anti-ferromagnetic phases and one paramagnetic phase. To explore the
difference of the two anti-ferromagnetic phases, the topology of Fermi surface
and the connection with standard periodic Anderson model are considered. The
spin-spin correlation functions yield insight into the competition between
Ruderman-Kittel-Kasuya-Yosida interaction and Kondo interaction. We further
find there is a "scaling transformation" connects different ratio of the
hybridization strength.
