Inverse melting and inverse freezing in a three-state spin-glass model with finite connectivity

摘要

The phase diagrams of the three-state Ghatak-Sherrington spin-glass (or random Blume-Capel) model arenobtained in mean-field theory with replica symmetry in order to study the effects of a ferromagnetic bias andnfinite random connectivity in which each spin is connected to a finite number of other spins. It is shown thatninverse melting from a ferromagnetic to a low-temperature paramagnetic phase may appear for small but finitendisorder and that inverse freezing appears for large disorder. There can also be a continuous inverse ferromagneticnto spin-glass transition.