Theory of shear magnetostriction in amorphous and crystalline ferromagnetic metals

The theory of shear magnetostriction (SMS) in ferromagnetic metallic systems is formulated in terms of Green functions in real space for a tight binding model. This is general enough to include amorphous (“glassy”) alloys, as well as crystalline materials. It is shown that the SMS coefficient λ_s(E_F) must have at least four zeros as a function of band filling E_F through the d-band, which explains the change in sign between Fe alloys and Co, Ni alloys. A method is presented for computing the indefinite integral of the imaginary part of the product of two Green functions expressed as continued fractions, not necessarily over the same band width, and some preliminary calculations explore the importance of various terms.