Correlation energy of an electron gas in strong magnetic fields at high densities
arXiv:cond-mat/9810409 · doi:10.1103/PhysRevB.58.15460
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 π^2) (B/m^2) (\hbar r_s /e)^3 instead of the field-free Gell-Mann Brueckner parameter r_s. The perturbation series is given exactly up to o(r_B) for the case of a small filling factor for the lowest Landau level.
10 pages, Accepted for publication in Phys.Rev.B
References in corpus (2)
Cited by in corpus (4)
- Matter in Strong Magnetic Fields
- Density-Functional-Theory Calculations of Matter in Strong Magnetic Fields: II. Infinite Chains and Condensed Matter
- Density-Functional-Theory Calculations of Matter in Strong Magnetic Fields: I. Atoms and Molecules
- Contribution of the second Landau level to the exchange energy of the three-dimensional electron gas in a high magnetic field