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We demonstrate the existence of metallic spin density waves (SDWs) in theKondo lattice model on a square lattice for a wide range of parameters by meansof real space dynamical mean field theory. In these SDWs, the spin polarizationas well as the charge density depend on the lattice site and are modulatedalong one direction of the square lattice. We show that within this phase ofmetallic SDWs the Fermi surface changes from small to large, when the couplingstrength is increased. Furthermore, the transition between the largeFermi-surface SDW phase and the paramagnetic phase is of second order, whilethe transition between the small Fermi-surface SDW phase and the paramagneticphase is of first order. A local quantum critical point is thus avoided in ourcalculations by undergoing a first order phase transition.

Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model