On the magnetically dilute Heisenberg and Ising ferromagnetics
Authors:
- 1 July 1961
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 4 (4) , 291-303
Abstract
The problem of a randomly dilute Heisenberg or Ising ferromagnetic is discussed on the basis of expansions of susceptibility in inverse powers of temperature. The first six significant coefficients in such expansions have been found, for any lattice and any spin value. The series are used to estimate the dependence of Curie temperature, ϑ c, on concentration of magnetic elements, p, for simple cubic, body-centred cubic and face-centred cubic lattices and spins ½ and 1. Near p = 1, it is found that for the Ising models ϑ c(p)=p ϑ c(1) whereas for the Heisenberg models ϑ c(p) < p ϑ c(1).Keywords
This publication has 6 references indexed in Scilit:
- Some Cluster Size and Percolation ProblemsJournal of Mathematical Physics, 1961
- Cluster Size in Random Mixtures and Percolation ProcessesPhysical Review B, 1961
- On the magnetically dilute Heisenberg and Ising ferromagneticsMolecular Physics, 1961
- On the Curie points and high temperature susceptibilities of Heisenberg model ferromagneticsMolecular Physics, 1958
- Susceptibility and Curie Point of Magnetically Dilute CrystalsThe Journal of Chemical Physics, 1957
- On the High-Temperature Susceptibility for the Heisenberg Model of a FerromagnetProceedings of the Physical Society. Section A, 1955