ON THE THEORY OF THE KONDO EFFECT IN 2-DIMENSIONAL METALS

The Kondo effect in a (quasi-)two-dimensional metal is studied. The sp ecial feature of the two-dimensionality is the Van Hove singularity in the electron density of states. For the band filling choosen such, th at the Fermi level is close to the saddle points of the band spectrum, the Van Hove singularity comes into play and changes the usual Kondo log to the log2. It turnes out to be possible to carry out the first o rder parquet summation and to obtain the conditions for the Kondo anti ferromagnetic resonance for an arbitrary geometry of the band spectrum . The connection with the Orthogonality Catastrophe is traced and it i s shown, that the weak coupling Kondo problem just corresponds to the intermediate asymptotics of the metal's relaxation in a time-dependent external potential.