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

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

2012-03-16

arxiv.org/abs/1203.3828v1

Physics

Condensed Matter

Statistical Mechanics

accepted in the PRE, 6 pages, 8 figures

Scientific paper

The present work studies the Ghatak-Sherrington (GS) model in the presence of a magnetic random field (RF). Previous results obtained from GS model without 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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