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

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

1995-06-29

arxiv.org/abs/cond-mat/9506136v1

Physics

Condensed Matter

4 pages (REVTeX) with 4 figures (Postscript)

Scientific paper

10.1016/0038-1098(95)00842-X

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 $\Delta_{\bf k}$ 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.

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