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

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 $\Delta (\mathbf{k},\omega )$ 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.

10 pages (REVTeX) with 5 figures (Postscript)

References in corpus (2)

• Theory for the excitation spectrum of High-T$_c superconductors : quasiparticle dispersion and shadows of the Fermi surface
• Electronic Theory for the Transition from Fermi-Liquid to Non-Fermi-Liquid Behavior in High-T${}_c$ Superconductors

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