One-Electron Green's Function in Magnetic Insulators

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Abstract
One-electron Green's function of half-filled Hubbard model is investigated in the atomic limit from the point of view of the relation between the Green's function and the magnetic properties of the system. It is shown that the Green's function obtained by Hubbard does not reproduce the known magnetic properties of the system. A new Green's function is given, which reproduces the Curie law for the magnetic susceptibility in the correct atomic limit (i.e., when the band width is much smaller than the Coulomb repulsion but is still larger than the temperature). The Curie-Weiss law and the antiferromagnetic state is also discussed.

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