ANOMALOUS BEHAVIOR OF A FERMI SYSTEM INTERACTING WITH A BOSONIC CRITICAL MODE

We show that a three-dimensional Fermi liquid with a gap in the electr on-hole energy excitations has an anomalous behavior if it interacts w ith a bosonic critical mode, Such a model can be obtained from the Kon do-Hubbard Hamiltonian which describes a strong correlated Fermi liqui d with ferromagnetic ground state. The model can be interesting for th e anomalous behavior of oxide superconductors and heavy fermion superc onductors which, in the normal state, present a strong deviation from the Landau theory of the Fermi liquids.