Excitations of dilute magnets near the percolation threshold
- 14 July 1979
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 12 (13) , 2645-2658
- https://doi.org/10.1088/0022-3719/12/13/027
Abstract
Geometric models of the percolating cluster as introduced by de Gennes (1976) are used to discuss dispersion and excitation spectra in dilute Heisenberg ferro- and antiferromagnets. New scaling relations for the spin-wave stiffness and conductivity exponents are derived and differences from those given by de Gennes interpreted geometrically. Consideration of dispersion in the antiferromagnet leads to an alternative derivation of a scaling relation for the perpendicular susceptibility exponent.Keywords
This publication has 24 references indexed in Scilit:
- Electrical-conductivity and Hall-effect measurements in semiconducting powders. Study of percolation effectsPhysical Review B, 1978
- Critical behavior of random resistor networks near the percolation thresholdPhysical Review B, 1978
- Renormalization-group treatment of the random resistor network in6−εdimensionsPhysical Review B, 1978
- Rigorous upper and lower bounds on the critical temperature in Ising models with random, quenched, broken-bond disorderJournal of Physics C: Solid State Physics, 1977
- Critical Scattering near the Percolation Threshold inPhysical Review Letters, 1977
- Low-frequency response functions of random magnetic systemsPhysical Review B, 1977
- Percolation points and critical point in the Ising modelJournal of Physics A: General Physics, 1977
- Spin Correlations near the Percolation Concentration in Two DimensionsPhysical Review Letters, 1976
- On a relation between percolation theory and the elasticity of gelsJournal de Physique Lettres, 1976
- Exponents for the excluded volume problem as derived by the Wilson methodPhysics Letters A, 1972