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Spin Polarization of the Uniform Three-Dimensional Electron Gas
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Journal of Modern Physics·Volume 02 (2011)·Pages 1017–1023·Published 19 September 2011·DOI10.4236/jmp.2011.29122
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Abstract
A simple-and-analytic form for total energy (or ground-state energy) in the uniform three-dimensional electron gas, expressed as a function of any Wigner-Seitz radius <i>r<sub>s</sub></i> and relative spin polarization ζ is obtained with a very good accuracy of 0.036% from the Stoner model and our interpolation between high-and-low density limits with use of a two-point approach for the correlation energy and spin stiffness at <i>r<sub>s</sub></i> = 1 and 70. This suggests a satisfactory desciption of some physical properties such as: paramagnetic-ferromagnetic phase transition and thermodynamic-and-optical phenomena.
KeywordsElectron GasCorrelation EnergySpin StiffnessTotal EnergySpin SusceptibilityParamagnetic-and-Ferromagnetic Phase TransitionsWigner States
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