Theoretical Analysis of the Reduction of Neel Temperature in La$_{2}$(Cu$_{1-x}$Zn(or Mg)$_x)$O$_{4}$

Details Theoretical Analysis of the Reduction of Neel Temperature in La$_{2}$(Cu$_{1-x}$Zn(or Mg)$_x)$O$_{4}$ Theoretical Analysis of the Reduction of Neel Temperature in La$_{2}$(Cu$_{1-x}$Zn(or Mg)$_x)$O$_{4}$

2006-09-30

arxiv.org/abs/cond-mat/0610005v1

Physics

Condensed Matter

Strongly Correlated Electrons

2 pages, 3 figures

Scientific paper

10.1016/j.jmmm.2006.10.386

Using Tyablikov's decoupling approximation, we calculate the initial suppression rate of the Neel temperature, $R_{IS}=-lim_{x-> 0} T^{-1}_{N} dT_{N}/dx$, in a quasi two-dimensional diluted Heisenberg antiferromagnet with nonmagnetic impurities of concentration $x$. In order to explain an experimental fact that $R^{(Zn)}_{IS}=3.4$ of the Zn-substitution is different from $R^{(Mg)}_{IS}=3.0$ of the Mg-substitution, we propose a model in which impurity substitution reduces the intra-plane exchange couplings surrounding impurities, as well as dilution of spin systems. The decrease of 12% in exchange coupling constants by Zn substitution and decrease of 6% by Mg substitution explain those two experimental results, when an appropriate value of the interplane coupling is used.

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