Exact Result for the Magnetic Susceptibility of an Electron Gas

The magnetic susceptibility of an electron gas at high density is found to be

χ = χ_{P} {1 - (\frac{α r_{s}}{π}) + \frac{1}{2} {(\frac{α r_{s}}{π})}^{2} [0.306 - \ln (\frac{α r_{s}}{π})] + O ({r_{s}}^{3})}^{- 1}

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