Abstract
In this paper, we have studied the single- and two-channel Kondo lattice modelconsisting of localized spins interacting anti-ferromagnetically with itinerant electrons.We have employed the dynamical mean field theory and have used the exactdiagonalization method in our impurity solver. This method allowed us to accesslow temperatures and large values of exchange couplings. Our results for thesingle-channel case confirm and extend the recent investigations. In the two-channelcase, at absolute zero temperature for half-filling and for the exchange couplingsJ/t>0.8, we have found a spontaneous symmetry breaking quantum phase transition, with oneband showing a metallic behavior and the other showing an insulating behavior. Finally,our calculations for the two-channel case show the existence of an anti-ferromagnetic phasefor all coupling strengths of physical interest.
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