In this paper an analysis is presented of the dependence of the reduced critical temperature kT c/ J on the ratio R ≡ H′ E / H E of the interlayer ( H′ E) and intralayer ( H E) exchange coupling, as observed for a number of layer-type copper compounds. The analysis aims at a determination of the critical parameters of the susceptibility of the ideal ( R = 0), quadratic, S = 1 2 , Heisenberg ferromagnet. For the ideal system, the experimental data—when compared with the available theoretical calculations—seem to point to a critical behaviour, characterized by an exponential divergence of the susceptibility rather than to a power-law divergence. From the analysis an upper bound kT c (0)/ J⩽ 0.25 is inferred for the reduced critical temperature kT c(0)/ J of the ideal, quadratic, S = 1 2 , Heisenberg ferromagnet. However, kT c (0)/ J = 0 has to be taken into consideration, since the data are not inconsistent with the results of the S = 1 2 , Green's-function approach of Yamaji and Kondo, in which the susceptibility is predicted to diverge exponentially at kT c (0)/ J = 0, according to χ ̃ ≡ X J/(k C ̃ )= A(kT/J) −1 exp [C(kT/J) −1] , with C = π. Under the assumption kT c (0)/ J = 0, our analysis points to C=3.0. On the other hand, on basis of the presently available experimental data it is not possible to exclude a χ̃ divergence of the form χ ̃ =A exp{C[k(T−T c(0))/J] 0−v} , with kT c(0)/J > 0,0.5 $ ̌ ν < 1 . The latter expression, with ν⋍0.8, has been suggested by Camp and Van Dyke for the S=∝, triangular Heisenberg ferromagnet from an analysis of high-temperature series expansions.
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