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Since their discovery three decades ago it has emerged that the physics ofhigh-$T_\mathrm{c}$ cuprate superconductors is characterised by multipletemperature scales, and a phenomenology that deviates significantly from theconventional paradigm of superconductivity. Below the "pseudogap" temperature,$T^*$, a range of experiments indicate a reduction in the density of states.Lower in temperature, $T_\mathrm{c}$ marks the onset of a bulk zero-resistancestate. Intermediate between these, numerous other temperature boundaries andcross-overs have been identified, often postulated to be associated withfluctuations of some kind. However, for the most part there is little consensuseither over their definitions or the physical mechanisms at play. One of thesetemperature scales is the Nernst onset temperature, $T_\mathrm{onset}$, belowwhich thermoelectric phenomena characteristic of superconductivity areobserved. Depending on the material, the difference between $T_\mathrm{onset}$and $T_\mathrm{c}$ ranges from almost nothing to over 100K. In this paper, weidentify $T_\mathrm{onset}$ from published experimental data according to aconsistent definition; this reveals a remarkable consistency of behaviouracross the whole high-$T_\mathrm{c}$ family, despite the appreciable variationsin other parameters. Our analysis suggests that in the cuprates there is aninherent limit to $T_\mathrm{c} \sim 135$K. We compare this behaviour withother strongly-correlated superconductors and propose a unified picture ofsuperconducting fluctuations close to the Mott state.

Universal limiting transition temperature for the high $T_\mathrm{c}$ superconductors