Abstract
The inverse freezing (IF) is studied with a quantum fermionic van Hemmen spin glass (SG) model. The disorder is treated without the use of replica method, in which an exact mean field solution is obtained for two different types of quenched disorders: the bimodal and the gaussian ones. The IF is then observed for certain range of chemical potential when the gaussian distribution is adopted. However, IF is destroyed by the quantum fluctuations. Particularly, the results suggest that the nontrivial SG free energy landscape, represented by strong disordered SG models, is not a necessary condition to generate a spontaneous IF.
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