Critical approach to the coherence transition in Kondo lattices

We study the Kondo lattice from the point of view of the scaling theory of critical phenomena. The coherence temperature scrTc is associated with a crossover from a paramagnetic state with local moments to a Fermi-liquid regime with strong magnetic correlations. We obtain an expression for scrTc in terms of the Kondo-lattice parameters and a crossover exponent φₜ. The effect of a magnetic field is investigated and characterized by another critical exponent. These exponents obey scaling relations with a shifted dimensionality.