Physics – Condensed Matter – Superconductivity
Scientific paper
2001-04-09
Phys. Rev. Lett. 87, 177005 (2001)
Physics
Condensed Matter
Superconductivity
5 pages, 4 figure, misprints corrected
Scientific paper
10.1103/PhysRevLett.87.177005
Using the Hubbard Hamiltonian we analyze the energy- and momentum-dependence of the elementary excitations in high-T$_c$ superconductors resulting from the coupling to spin fluctuations. As a result of the energy dependence of the self-energy $\Sigma ({\bf k}, \omega)$, characteristic features occur in the spectral density explaining the 'kink' in recent ARPES experiments. We present results for the spectral density $A({\bf k}, \omega)$ resulting from the crossover from Im $\Sigma ({\bf k}, \omega)\propto \omega$ to Im $\Sigma ({\bf k}, \omega)\propto \omega^2$, for the feedback of superconductivity on the excitations, and for the superconducting order parameter $\Delta({\bf k}, \omega)$. These results relate also to inelastic neutron scattering and tunneling experiments and shed important light on the essential ingredients a theory of the elementary excitations in the cuprates must contain.
Bennemann Karl-Heinz
Eremin Ilya
Manske Dirk
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