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Theory for Superconducting Properties of the Cuprates: Doping Dependence of the Electronic Excitations and Shadow States

S. Grabowski·M. Langer·J. Schmalian·K. H. Bennemann
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Abstract

The superconducting phase of the 2D one-band Hubbard model is studied within the FLEX approximation and by using an Eliashberg theory. We investigate the doping dependence of $T_c$, of the gap function $Δ({\bf k},ω)$ and of the effective pairing interaction. Thus we find that $T_c$ becomes maximal for $13 \; \%$ doping. In {\it overdoped} systems $T_c$ decreases due to the weakening of the antiferromagnetic correlations, while in the {\it underdoped} systems due to the decreasing quasi particle lifetimes. Furthermore, we find {\it shadow states} below $T_c$ which affect the electronic excitation spectrum and lead to fine structure in photoemission experiments.

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S. Grabowski, M. Langer, J. Schmalian, K. H. Bennemann. 1995-09-29. Theory for Superconducting Properties of the Cuprates: Doping Dependence of the Electronic Excitations and Shadow States. https://doi.org/10.1209/epl%2Fi1996-00442-2

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