Theory for the Interdependence of High-T${}_c$ Superconductivity and Dynamical Spin Fluctuations

Abstract

The doping dependence of the superconducting state for the 2D one-band Hubbard Hamiltonian is determined. By using an Eliashberg-type theory, we find that the gap function ${\Delta }_{\mathbf{k}}$ has a $d_{x^2-y^2}$ symmetry in momentum space and T${}_c$ becomes maximal for $13\%$ doping. Since we determine the dynamical excitations directly from real frequency axis calculations, we obtain new structures in the angular resolved density of states related to the occurrence of {\it shadow states} below T${}_c$. Explaining the anomalous behavior of photoemission and tunneling experiments in the cuprates, we find a strong interplay between $d$-wave superconductivity and dynamical spin fluctuations.

4 pages (REVTeX) with 4 figures (Postscript)

References in corpus (6)

• Theory for the excitation spectrum of High-T$_c superconductors : quasiparticle dispersion and shadows of the Fermi surface
• s-wave superconductivity from antiferromagnetic spin-fluctuation model for bilayer materials
• Theory for Superconducting Properties of the Cuprates: Doping Dependence of the Electronic Excitations and Shadow States
• Superconducting Order Parameter in Bi-Layer Cuprates: Occurrence of $\pi$ Phase Shifts in Corner Junctions
• Antiferromagnetic Interactions and the Superconducting Gap Function
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• Spin-triplet superconductivity in repulsive Hubbard models with disconnected Fermi surfaces: a case study on triangular and honeycomb lattices
• Competition between singlet and triplet pairings in Na_xCoO_2 yH_2O
• Single-particle properties of a model for coexisting charge and spin quasi-critical fluctuations coupled to electrons