Abstract
By minimization of a Hamiltonian with respect to its interaction parameters, new Hamiltonians are generated. The same minimization procedure is carried out with the free energy of the initial Hamiltonian, and it is proven that in the thermodynamic limit the minimized free energy is the free energy of the minimized Hamiltonian. This method is illustrated with two-dimensional Ising models generalized to include both nearest-neighbor bonds and infinite-range bond-bond interactions. New critical behavior is observed.
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