Critical properties of dilute Heisenberg and Ising magnets

Abstract

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 KMnpMg1-pF3 and CopZn1-pCs3Cl5.