We formulate a complete microscopic theory of a coupled pair of bound magnetic polarons, the bound-magnetic-polaron molecule (BMPM) in a diluted magnetic semiconductor (DMS) by taking into account both a proper two-body nature of the impurity-electron wave function and within the general spin-rotation-invariant approach to the electronic states. We also take into account both the Heisenberg and the antiferromagnetic kinetic-exchange interactions, as well as the ferromagnetic coupling within the common spin BMPM cloud. The thermodynamic fluctuations of the spin cloud within the polaron effective Bohr radius of each polaron are taken as Gaussian.
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