Y. Matsumoto et al., THEORETICAL-STUDY ON ORGANIC ONE-DIMENSIONAL FERRIMAGNETS, Molecular crystals and liquid crystals science and technology. Section A, Molecular crystals and liquid crystals, 306, 1997, pp. 339-344
The magnetic susceptibility chi(T) of one-dimensional ferrimagnets con
sisting of two kinds of quantum spins S-1 and S-2 are calculated by th
e dynamical correlated-effective-field approximation (DCEFA). At high
temperatures chi(T) obeys the Curie-Weiss law with a negative Weiss te
mperature. As the temperature is decreased, chi(T) diverges towards T
= 0K according to chi(T) congruent to 4(g mu B)(2)/9\J\ root X1X2(root
X-1 - root X-2)(2)(\J\/k(B)T)(2) with X-1 = S-1(S-1 + 1) and X-2 = S-
2(S-2 + 1). chi(T) has been calculated also by the exact diagonalizati
on method (EDM) for the case of S-1 = 1 and S-2 = 1/2. It is found tha
t chi(T) obtained by the DCEFA agrees well with that obtained by the E
DM in the whole temperature range. The observed susceptibility of an o
rganic one-dimensional ferrimagnet Mn(II)(hfac)(2)(dipycarbene) (S-1 =
5/2 and S-2 = 1 system) has been analysed by DCEFA and the exchange c
oupling is estimated to be -15 K.