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Abstract
The specific-heat anomaly, a key signature of any phase transition, has to date been investigated by several groups involving theorists and experimentalists working on high temperature superconductors. In this review we summarize some of their findings, interpretations and conclusions. By thoroughly examining them we discuss several major issues raised, which are fundamentally related to the nature of this phase transition. Our discussions are mainly centred on the Ginzburg-Landau (GL) phenomenology, which, in our opinion. remains unsolved to date. Finally we propose several key experiments that could be performed, particularly on the same good single crystal samples, to resolve these issues.
