Specific Heat of Dilute Magnetic Alloys

An integral equation derived previously from the lowest-order nontrivial decoupling of the equations of motion for the $s-d$ exchange model is solved exactly. The Green's function given by this solution is well-behaved at all temperatures. An approximate expression for the correlation energy of a single impurity is derived and used to calculate the specific heat. The specific heat is found to be of the order of Boltzmann's constant per local moment in magnitude, to have a peak at one-third of the Kondo temperature, and to go to zero as $T^{0.57}$ when $T$ approaches zero.