Fluctuations and $T_c$ reduction in cuprate superconductors

Details Fluctuations and $T_c$ reduction in cuprate superconductors Fluctuations and $T_c$ reduction in cuprate superconductors

2009-08-30

arxiv.org/abs/0908.4428v1

Physics

Condensed Matter

Superconductivity

4 pages, 2 figures, submitted to PRL. A key follow up paper to this work is on the arXiv:0908.4430

Scientific paper

We analyse fluctuations about $T_c$ in the specific heat of (Y,Ca)Ba$_2$Cu$_3$O$_{7-\delta}$, YBa$_2$Cu$_4$O$_8$ and Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. The mean-field transition temperature, $T_c^{mf}$, in the absence of fluctuations lies well above $T_c$ especially at low doping where it reaches as high as 150K. We show that phase and amplitude fluctuations set in simultaneously and $T_c^{mf}$ scales with the gap, $\Delta_0$, such that $2\Delta_0/k_BT_c^{mf}$ is comparable to the BCS weak-coupling value, 4.3, for d-wave superconductivity. We also show that $T_c^{mf}$ is unrelated to the pseudogap temperature, $T^*$.

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