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We consider a heterostructure of a metal and a paramagnetic Mott insulatorusing an adaptation of dynamical mean field theory to describe inhomogeneoussystems. The metal can penetrate into the insulator via the Kondo effect. Weinvestigate the scaling properties of the metal-insulator interface close tothe critical point of the Mott insulator. At criticality, the quasiparticleweight decays as 1/x^2 with distance x from the metal within our mean fieldtheory. Our numerical results (using the numerical renormalization group as animpurity solver) show that the prefactor of this power law is extremely small.

Kondo proximity effect: How does a metal penetrate into a Mott insulator?