Analysis of the elementary excitations in high-T_c cuprates: explanation of the new energy scale observed by ARPES

Abstract

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 $\Sigma (\mathbf{k},\omega )$, characteristic features occur in the spectral density explaining the 'kink' in recent ARPES experiments. We present results for the spectral density $A(\mathbf{k},\omega )$ resulting from the crossover from Im $\Sigma (\mathbf{k},\omega )\propto \omega$ to Im $\Sigma (\mathbf{k},\omega )\propto {\omega }^2$, for the feedback of superconductivity on the excitations, and for the superconducting order parameter $\Delta (\mathbf{k},\omega )$. 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.

5 pages, 4 figure, misprints corrected

References in corpus (1)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors

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