Relation of Extended Van Hove Singularities to High-Temperature Superconductivity within Strong-Coupling Theory

Details Relation of Extended Van Hove Singularities to High-Temperature Superconductivity within Strong-Coupling Theory Relation of Extended Van Hove Singularities to High-Temperature Superconductivity within Strong-Coupling Theory

1994-04-26

arxiv.org/abs/cond-mat/9404081v1

Physics

Condensed Matter

11 pages + 4 figures available on request, Revtex 3.0, STCS preprint

Scientific paper

10.1103/PhysRevB.50.9554

Recent angle-resolved photoemission (ARPES) experiments have indicated that the electronic dispersion in some of the cuprates possesses an extended saddle point near the Fermi level which gives rise to a density of states that diverges like a power law instead of the weaker logarithmic divergence usually considered. We investigate whether this strong singularity can give rise to high transition temperatures by computing the critical temperature $T_c$ and isotope effect coefficient $\alpha$ within a strong- coupling Eliashberg theory which accounts for the full energy variation of the density of states. Using band structures extracted from ARPES measurements, we demonstrate that, while the weak-coupling solutions suggest a strong influence of the strength of the Van Hove singularity on $T_c$ and $\alpha$, strong-coupling solutions show less sensitivity to the singularity strength and do not support the hypothesis that band structure effects alone can account for either the large $T_c$'s or the different $T_c$'s within the copper oxide family. This conclusion is supported when our results are plotted as a function of the physically relevant self- consistent coupling constant, which show universal behavior at very strong coupling.

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