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 tem- peratures 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.
Analyticity properties of the anisotropic Heisenberg model} / Gallavotti, Giovanni; S., Miracle Sole; D., Robinson. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 10:(1968), pp. 311-324.
Analyticity properties of the anisotropic Heisenberg model}
GALLAVOTTI, Giovanni;
1968
Abstract
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 tem- peratures 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
