Critical properties of dilute Heisenberg and Ising magnets

Bond- and site-diluted spin-1/2 Heisenberg and Ising ferro- and antiferromagnets in one, two and three dimensions are treated by a real-space scaling method. Critical parameters (pure transition temperature, where non-zero, and percolation concentration) and critical exponents are evaluated. The critical curves of the simple cubic spin- 1 / 2 diluted Heisenberg and Ising systems are also obtained and agree very well with experimental results for KMn p Mg 1-p F 3 and Co p Zn 1-p Cs 3 Cl 5 .