Superconductivity: Hartree–Fock for Fermions with Attractive Interactions

Abstract

In the last chapter, we used mean-field theory to explore how interactions affect the behavior of quantum gases. We found that, for fermions, the simplest mean-field theory, which we called Hartree–Fock theory, gives a good qualitative description for the case of weakly repulsive interactions. In fact, we mentioned that a more general theory, called Fermi liquid theory, extends this qualitative behavior to interactions that need not be so weak.