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SUMMARY
With the assumption that magnetic ordering is suppressed, we have developed a perturbative renormalization group theory for the interference of Kondo singlet production and RKKY interaction in Kondo lattice and multi-impurity systems. Equation. (35) represent a mathematical definition of the Kondo lattice temperature, .ππ(π¦) , which is the energy scale for Kondo singlet production in a Kondo lattice. According to the theory, at a crucial RKKY parameter, y = π¦π , complete Kondo screening will break down and ππ(π¦)will be universally suppressed. At the breakdown point, the Kondo scale takes a finite, universal value, ππ(πΎπ) /ππ(0)= 1/e β 0.368, and vanishes discontinuously for y > π¦π . In the Anderson lattice, by contrast to the Kondo lattice, the locality of the f-spin does no longer strictly hold, but our approach should still be valid in this case.