MEP Approach to the Anderson-Hubbard Model

Abstract

The discovery of superconductivity in heavy-fermion systems and in copper oxides has stimulated not only the experimental but also the theoretical work on the mechanism which induces the phenomena. The Anderson¹ and Hubbard² models are two of the most broadly used. In particular, the interplay of the Coulomb interaction and disorder is analyzed using the so-called Anderson-Hubbard model3 which consists of Anderson’s Hamiltonian for disordered media plus an on-site electron-electron interaction (U) term. Although a lot of work has been done on this Hamiltonian, the temporal evolutions of the involved operators are rarely analyzed.