A “Fourth” Checkpoint for Second-Order Transitions

DOI Web Site Web Site BIBCODE 被引用文献3件 参考文献7件

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  • Fourth Checkpoint for Second Order Tran

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In order that a given phase transition can theoretically be second order, it needs to pass checkpoints. Already known are three checkpoints, viz., the checkpoint of third-degree term, the checkpoint of commensurate-incommensurate gap index and the checkpoint of intermediate-rank lineal phase. The present paper proposes a “fourth” checkpoint or the checkpoint of positive-definiteness and incompatible inequalities as different from and independent of the three above-mentioned ones. Exhibited are examples of transitions that pass all of the first, second and third checkpoints but not the fourth, and examples of transitions that pass also the fourth.

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