The authors present a relativistic generalisation of the Bloch theory of a magnetic electron gas. It is shown that states of uniform magnetisation, as in the non-relativistic theory, do not appear as ground states in the Hartree-Fock approximation including transverse photon contributions. The exchange energy changes sign for certain values of the relativistic parameter ( beta =h(cross)kF/mc) and magnetisation so that spiral spin arrangements may be favoured.
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Ramana et al. (1979) studied this question.
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