Abstract
We prove rigorous critical temperature upper bounds of quantum lattices in the infinite volume limit and with many-body potentials which conserve the number of particles. The results are obtained from the analyticity properties of the reduced correlation functionals. As an example the isotropic Heisenberg model is considered. The method also extends previous results on the analyticity and the critical temperature of a classical lattice.
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Greenberg, W. Critical temperature bounds of quantum lattice gases. Commun.Math. Phys. 13, 335–344 (1969). https://doi.org/10.1007/BF01645417
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DOI: https://doi.org/10.1007/BF01645417