The spin susceptibility of an amorphous Hubbard model

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Abstract
We study the temperature-dependent spin susceptibility of a structurally disordered Hubbard model with a quasi-exponential transfer integral based on a hydrogenic 1 s wavefunction. The electronic hopping is treated perturbatively up to fourth order. The susceptibility is calculated for various atomic concentrations and electronic densities and for different strengths of on-site Coulomb repulsion. Contact is made with the measured susceptibility of lightly doped semiconductors. The possibility for ferromagnetism in the model is examined and conclusions analogous to Nagaoka's theorem and Kanamori's theory are obtained. Finally, using a generalized Kirkwood superposition approximation for the many-body distribution functions, we have investigated the influence of short-range atomic correlation on the magnetic properties.

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