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We study the phase diagram of an elastic interaction model for spin crossover(SC) materials with antiferromagnetic-like short-range interactions. In thismodel, the interplay between the short-range interaction and the long-rangeinteraction of elastic origin causes complex phase transitions. For relativelyweak elastic interactions, the phase diagram is characterized by tricriticalpoints, at which antiferromagnetic (AF) -like and ferromagnetic (F) -likespinodal lines and a critical line merge. On the other hand, for relativelystrong elastic interactions, unusual "horn structures," which are surrounded bythe F-like spinodal lines, disorder (D) spinodal lines, and the critical line,are realized at higher temperatures. These structures are similar to thoseobtained in our previous study [Phys. Rev. B {\bf 93}, 064109 (2016)] of anIsing antiferromagnet with infinite-range ferromagnetic interactions, and wefind universal features caused by the interplay between the competingshort-range and long-range interactions. The long-range interaction of elasticorigin is irrelevant (inessential) for the critical line. In contrast, theAF-like, F-like, and D spinodal lines result from the long-range interaction ofelastic origin. This difference causes qualitatively different features ofdomain formation or nucleation of the new phase: clustering occurs in theformer case, while clustering is absent in the latter. Based on the phasediagrams, we discuss the patterns and clustering features of two-step SCtransitions, in which the AF-like phase is realized in the intermediatetemperature region.

Nontrivial phase diagram for an elastic interaction model of spin crossover materials with antiferromagnetic-like short-range interactions