Cuprate interband model and doping dependence of the coherence length

Details Cuprate interband model and doping dependence of the coherence length Cuprate interband model and doping dependence of the coherence length

2005-04-18

arxiv.org/abs/cond-mat/0504431v2

Physics

Condensed Matter

Superconductivity

15 pages, 3 Postscript figures

Scientific paper

The free energy expansion of a two-band pair-transfer superconductor is developed. A critical in temperature and a noncritical coherence length appear. The effective in-plane $\xi_{ab}$, $H_{c2}\sp c\sim \xi_{ab}\sp{-2}$ and the thermodynamic critical magnetic field ($H_{c0}$) on the whole hole doping ($p$) scale are calculated for a "typical'' cuprate. A doping-prepared bare spectrum with normal state gaps quenched by doping has been used. The coherence length $\xi_{ab}$ falls with $p$ first rapidly. A moderate enhancement starts when the "cold'' defect band overlap with the valence band is reached. At overdoping $\xi_{ab}$ rises markedly. The $H_{c2}\sp c$ curve shows a maximum before $T_{cmax}$. The bell-like $H_{c0}$-curve follows closely $T_c$, superconducting gaps, and superfluid density. The theoretical $\xi_{ab}(p)$ nonmonotonic curve on the whole doping scale agrees with a recent experimental finding.

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