Analyticity Properties of the Anisotropic Heisenberg Model
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چکیده
An upper bound Te for the critical temperature of a class of spin systems which includes the Heisenberg ferromagnet is derived. The analyticity of the free energy as a function of the temperature, the external magnetic field, and the interaction potentials, is demonstrated in a domain which includes all temperatures T > Tc For the isotropic Heisenberg ferromagnet in v dimensions we find the poor estimate 2vJ/JcT0 = 0.0001. Some analyticity and cluster properties of the reduced density matrices are also derived.
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تاریخ انتشار 1968