Abstract
The critical properties of a compressible random magnet are studied using renormalization group methods. Then-component orderparameter is coupled to quenched disorder and to the elastic fluctuations of the anisotropic solid. It is shown, that the critical behaviour of a compressible random magnet is in general the same as that of a random magnet on a rigid lattice. However, if the specific heat exponent of the ideal magnet is positive and the disorder is sufficiently weak, a macroscopic instability may prevent the system in reaching the critical point. The resulting first-order transition may be preceded by pseudocritical behaviour characteristic to pure compressible magnets. The effect of random magnetic fields on the critical properties of compressible magnets is also discussed.
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Sasvári, L., Tadić, B. Critical behaviour of random compressible magnets. Z. Physik B - Condensed Matter 43, 163–172 (1981). https://doi.org/10.1007/BF01293607
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DOI: https://doi.org/10.1007/BF01293607