A simple theory for high $Δ/ T_{c}$ ratio in d-wave superconductors

Details A simple theory for high $Δ/ T_{c}$ ratio in d-wave superconductors A simple theory for high $Δ/ T_{c}$ ratio in d-wave superconductors

2000-06-20

arxiv.org/abs/cond-mat/0006296v1

Eur.J.P.B 23, 159 (2001)

Physics

Condensed Matter

Superconductivity

5 pages, revtex, 2 figures

Scientific paper

10.1007/s100510170063

We investigate a simple explanation for the high maximum gap to $T_{c}$ ratio found experimentally in high $T_{c}$ compounds. We ascribe this observation to the lowering of $T_{c}$ by boson scattering of electrons between parts of the Fermi surface with opposite sign for the order parameter. We study the simplest possible model within this picture. Our quantitative results show that we can account for experiment for a rather small value of the coupling constant, all the other ingredients of our model being already known to exist in these compounds. A striking implication of this theory is the fairly high value of the critical temperature in the absence of boson scattering.

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