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 rB = (2/3π 2 ) (B/m 2 ) (hr s /e) 3 instead of the field-free Gell-Mann Brueckner parameter r s .