Ground-state energy of the low-density Fermi gas (13 pages)

Elliolt H. Lieb, Jakob Yngvason

Élliott H. Lieb, Jakob Yngvason

André Eckardt

R. F. Bishop

Paul Bloom

A calculation is given of the equilibrium properties of a two-dimensional Fermi gas at 0 \ifmmode^\circ\else\textdegree\fi{}K. The ladder diagrams for the self-energy are summed, corresponding to a low-density expansion. We obtain the Fermi energy, the quasiparticle lifetime, the effective mass, the ground-state energy, and the discontinuity at the Fermi surface.

Shina Tan