Condensed Matter Seminar "Instantons, colloids and convergence of the 1/N expansion for the homogeneous electron gas"

I will discuss an approximate equation for the two-point charge density correlation of the homogeneous electron fluid based on the large N expansion of this model. Large N considerations also lead to a conjecture about a colloidal phase in between the Wigner-crystal and fluid phases as first discussed by Kivelson and Spivak. As a bonus we argue that the large N expansion is convergent in the fluid phase and the colloidal and crystal phases occur at density of order 1/N where the expansion breaks down.