M. Acquarone et M. Paiusco, DIAMAGNETIC IMPURITY EFFECTS ON THE NEEL TEMPERATURE IN LA2CUO4 AND RELATED MATERIALS, Physica. C, Superconductivity, 210(3-4), 1993, pp. 373-385
To investigate why the sensitivity of the Neel temperature T(N) of the
antiferromagnetic (AF) layered copper perovskites (typically La2CuO4)
to diamagnetic impurities such as Zn is reportedly much larger than i
n the AF members of the K2NiF4 family, we first treat the effect of a
concentration c of impurities on the uncorrelated electronic states in
the coherent potential approximation (CPA). Then we consider the Heis
enberg hamiltonian as the large correlation limit of the Hubbard hamil
tonian for a single band of impurity-modified electronic states. The c
orrelation effects are treated variationally. The model is solved expl
icitly by using a rectangular density of states, and we obtain the c-d
ependent exchange J, staggered moment S(q) spin wave velocity and tran
sverse susceptibility at zero temperature. We take into consideration
several recently proposed formulae for T(N) in the clean limit, and in
clude the impurity effects by exploiting the results obtained, in orde
r to test their predictions against the experimental T(N)(c) data for
La2Cu1-cZncO4. Our results suggest that, to explain the difference bet
ween the K2NiF4 and the La2CuO4 families, one should consider both the
sign and the magnitude of the difference I=epsilon(B)-epsilon(A) betw
een impurity (B) and host (A) ionic potentials. The slowly decreasing
trend of T(N)(c) in the K2NiF4 family is reproduced if I is negative a
nd sizeable, or positive but very small, while the quick decrease typi
cal of the copper perovskites requires a positive and rather large L F
or reasonable values of the interaction parameters, among the several
models we compare, only the model of Chakravarty, Halperin and Nelson
is able to semi-quantitatively reproduce the non-linear behaviour of T
(N)(c) reported for La2Cu1-cZncO4, provided the spin stiffness is assu
med to scale with c as appropriate to Fermi liquids.