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 ${\mathrm{scrT}}_c$ 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 ${\mathrm{scrT}}_c$ in terms of the Kondo-lattice parameters and a crossover exponent ${\phi }_t$. The effect of a magnetic field is investigated and characterized by another critical exponent. These exponents obey scaling relations with a shifted dimensionality.