Interacting fermions : a holographic approach/

Abstract

Most materials are either metals or insulators. When they are metals, their electronic properties are usually described by Landau's Fermi liquid theory. That is, they behave more or less like a free Fermi gas, with a few modifications due to electron-electron interactions. However, there exist a few metallic materials whose phenomenology does not fit within Fermi liquid theory. These are quasi-2D metals on the verge of becoming insulators, and they happen to become superconducting at low temperature, by a mechanism different than BCS superconductivity. The physics of these materials calls for a new strongly coupled universality class of interacting electrons, yet to be understood. This work looks at the problem from the novel point of view of gauge/gravity, or holographic, duality.