# Crossover from random-exchange to random-field critical behavior in Ising models

Calabrese, Pasquale and Pelissetto, Andrea and Vicari, Ettore (2003) Crossover from random-exchange to random-field critical behavior in Ising models. Physical review. B, Condensed matter and materials physics, 68 . 092409. ISSN 1550-235X

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## Abstract

We compute the crossover exponent $\phi$ describing the crossover from the random-exchange to the random-field critical behavior in Ising systems. For this purpose, we consider the field-theoretical approach based on the replica method, and perform a six-loop calculation in the framework of a fixed-dimension expansion. The crossover from random-exchange to random-field critical behavior has been observed in dilute anisotropic antiferromagnets, such as Fe$_x$Zn$_{1-x}$F$_2$ and Mn$_x$Zn$_{1-x}$F$_2$, when applying an external magnetic field. Our result $\phi=1.42(2)$ for the crossover exponent is in good agreement with the available experimental estimates.

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI" dott.ssa Sandra Faita 09 Apr 2015 15:28 09 Apr 2015 15:28 http://eprints.adm.unipi.it/id/eprint/1794

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