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
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