Physics – Condensed Matter – Materials Science
Scientific paper
2008-04-03
Phys. Rev. B 78, p. 085107 (2008)
Physics
Condensed Matter
Materials Science
7 pages, 2 figures, PRB accepted
Scientific paper
10.1103/PhysRevB.78.085107
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 $n_c$. Below $n_c$, the per-particle exchange energy is lowered by the contribution of L=1, whereas above $n_c$ it is increased. As special cases of our general equation we recover various known, more limited, results for higher fields, and identify and correct a few inconsistencies in some of these earlier expressions.
Capelle Klaus
Morbec J. M.
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