Ground-state energy of a high-density electron gas in a strong magnetic field

Abstract

The high-density electron gas in a strong magnetic field B and at zero temperature is investigated. The quantum strong-field limit is considered in which only the lowest Landau level is occupied. It is shown that the perturbation series of the ground-state energy can be represented in analogy to the Gell-Mann Brueckner expression of the ground-state energy of the field-free electron gas. The role of the expansion parameter is taken by $r_B=(2/3{\pi }^2)(B/m^2)(\hslash r_S/e{)}^3$ instead of the field-free Gell-Mann Brueckner parameter r_s.

4 pages, 2 figures, to appear in the proceedings of the 1999 International Conference on Strongly Coupled Coulomb Systems (St.Malo)