C. Yasuda et A. Oguchi, ORDER-DISORDER TRANSITION OF A 2-DIMENSIONAL SPIN 1 2 HEISENBERG-ANTIFERROMAGNET WITH NONMAGNETIC IMPURITIES/, Journal of the Physical Society of Japan, 66(9), 1997, pp. 2836-2843
Considering the reduction effect of the number of magnetic atoms and u
sing Kondo and Yamaji's method and the coherent potential approximatio
n, we investigate magnetic properties of a spin 1/2 Heisenberg antifer
romagnet with nonmagnetic impurities on a square lattice, It is found
that the critical impurity concentration x(c) is different from the pe
rcolation threshold x(p) in the ground state. The ground state changes
from the Neel ordered state to a disordered state at x(c) similar or
equal to 0.07. The coherent exchange integral J(p) vanishes at x(p) si
milar or equal to 0.56. For 0 less than or equal to x < x(c) the syste
m is in the ordered state and for x(c) < x < x(p) in the disordered st
ate, This disordered state is characterized by the finite J(p) and ene
rgy gap and the exponentially decaying correlation function. This resu
lt explains that the reduction rate of the Neel temperature of Mg-dope
d La2CuO4 is larger than that of K2CoF4 and K2MnF4. The uniform suscep
tibility as a function of temperature and concentration is obtained.