Morbec, JM and Capelle, K (2008) Contribution of the second Landau level to the exchange energy of the three-dimensional electron gas in a high magnetic field. Physical Review B, 78 (8).

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Abstract

We derive a closed analytical expression for the exchange energy of the three-dimensional interacting electron gas in strong magnetic fields, which goes beyond the quantum limit (L=0) by explicitly including the effect of the second, L=1, Landau level and arbitrary spin polarization. The inclusion of the L=1 level brings the fields to which the formula applies closer to the laboratory range, as compared to previous expressions, valid only for L=0 and complete spin polarization. We identify and explain two distinct regimes separated by a critical density nc. Below nc, the per particle exchange energy is lowered by the contribution of L=1 , whereas above nc it is increased. As special cases of our general equation we recover various known more limited results for higher fields, and we identify and correct a few inconsistencies in some of these earlier expressions.

Item Type: Article
Additional Information: © American Physical Society. This is the final published version of the article (version of record). It first appeared online via American Physical Society at https://doi.org/10.1103/PhysRevB.78.085107 - please refer to any applicable terms of use of the publisher.
Subjects: Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Chemical and Physical Sciences
Depositing User: Symplectic
Date Deposited: 25 Oct 2019 08:22
Last Modified: 25 Oct 2019 14:12
URI: https://eprints.keele.ac.uk/id/eprint/7084

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