Abstract
Starting from the periodic Anderson Hamiltonian in a reduced Brillouin zone scheme, we derive an approximate Hamiltonian which describes a conduction band and a virtual boound states band coupled by a Kondolike interaction. At high temperature, it behaves as a collection of impurities. At low temperature, it describes heavy electrons coupled on nearest neighbour sites by an antiferromagnetic interaction. The ground state of this Hamiltonian can be magnetic or not or superconducting depending on the filling of the virtual bound states band.
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