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Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Mar;85(3 Pt 1):031133. Epub 2012 Mar 21.

Inverse freezing in the Ghatak-Sherrington model with a random field.

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  • 1Programa de Pós-Graduação em Física-Instituto de Matemática, Estatística e Física, Universidade Federal do Rio Grande, Rio Grande, Rio Grande do Sul, Brazil.


The present work studies the Ghatak-Sherrington (GS) model in the presence of a magnetic random field (RF). Previous results obtained from the GS model without a RF suggest that disorder and frustration are the key ingredients to produce spontaneous inverse freezing (IF). However, in this model, the effects of disorder and frustration always appear combined. In that sense, the introduction of RF allows us to study the IF under the effects of a disorder which is not a source of frustration. The problem is solved within the one step replica symmetry approximation. The results show that the first order transition between the spin glass and the paramagnetic phases, which is related to the IF for a certain range of crystal field D, is gradually suppressed when the RF is increased.

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