Spin susceptibilities in the theory of itinerant-electron antiferromagnetism. I

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Abstract
The spin-density-wave state in the itinerant-electron model of antiferromagnetism is analysed. In the so-called commensurate case it is shown that a simple rotation of the quantization axis disposes of the complications due to the pairing of opposite spins and exposes the really important pairing of electrons in different subbands arising from the reduced translational symmetry. A method is given for obtaining explicit closed expressions for the full transverse and longitudinal magnetic spin susceptibility without making any approximation for the form factors. This method is illustrated by a detailed calculation of the transverse susceptibility in the Hubbard one-band model in the random phase approximation.

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