Tensor structure of the electrostatic interaction Hamiltonian in the Hubbard representation, and its application to magnetically ordered crystals

A representation of the electrostatic interaction Hamiltonian is obtained which is analogous to the Hubbard representation, but is explicitly invariant with respect to the spin rotations. Using this representation, we investigate the equivalent Hamiltonian for spin excitations, and obtain the temperature dependences of the site spin moment and effective exciton Hamiltonian.

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