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This research investigates the ground-state energy and magnetic properties of a dilute electron gas.

Energy, Specific Heat, and Magnetic Properties of the Low-Density Electron Gas

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Perturbation expansion reveals energy and magnetic properties in a low-density electron gas, indicating antiferromagnetic alignment.

This research investigates the ground-state energy and magnetic properties of a dilute electron gas.
Used perturbation expansion in powers of ${r}_{s}^{-1/2}$ to calculate ground-state energy.
Estimated vibrational specific heat and evaluated anharmonic effects in electron vibrations.
Calculated the Néer temperature for antiferromagnetic electron spins.
Ground-state energy expressed as $E = -1.792/r_{s} + 2.66/r_{s}^{3/2} + b/r_{s}^{2}$ with $b$ < 1.
Except for low densities (${r}_{s} extgreater 270$), electron spins are antiferromagnetically aligned.
An estimation for the Néel temperature was successfully derived.

W. J. Carr (1961) studied this question.

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