A theoretical study of the extinction of antiferromagnetic order by holes and dilution in La2−xSrxCu1−zZnzO4

We have used the quasi-two-dimensional Heisenberg antiferromagnetic model to explain the extinction of long-range order by holes and dilution in La2−xSrxCu1−zZnzO4. An analytical expression is obtained for the Néel temperature TN(x,z)TN(x,z) by using the Green’s-function formalism with random phase approximation (RPA). The expression for the Néel temperature TN(x,z)TN(x,z) is a function of concentration of holes xx and dilution zz. To treat the dilution effect in CuO22 plane (XY), we use three different approximations for percolation. The frustration effect is induced by interplane coupling which depends linearly on the doping concentration xx. We have explained qualitatively the non-monotonic and reentrant behavior of TN(x,z)TN(x,z) which was observed experimentally by Hücker [M. Hücker, V. Kataev, J. Pommer, J. Harass, A. Hosni, C. Pflitsch, R. Gross, B. Buchner, Phys. Rev. B 59 (1999) R725].