C.P.A. theory for a dilute paired antiferromagnet

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Abstract
A coherent potential approximation (C.P.A.) theory has been developed in order to examine the bond dilution problem in an antiferromagnet which contains alternating strong and weak magnetic exchange interactions. Specifically, we have calculated the concentration dependence of the transition temperature at which the system displays long‐range order. This is done by examining the Green function for the system in the paramagnetic phase. The existence of the strong exchange interaction creates pairs of highly correlated spins in the paramagnetic state. The transition temperature is identified by introducing the weak coupling between these spin pairs and locating the temperature at which the excitation of a pair from the singlet ground state to the lowest excited states becomes soft. When only interpair bonds are broken, a linear concentration vs transition temperature behavior is predicted. This prediction is compared with recent experimental results for the diluted paired antiferromagnet, RbMn1−xMgxCl3.