Effect of the magnetic resonance on the electronic spectra of $\mathrm{h}\mathrm{i}\mathrm{g}\mathrm{h}-T_c$ superconductors

We explain recent experimental results on the superconducting state spectral function as obtained by angle resolved photoemission, as well as by tunneling, in ${\mathrm{h}\mathrm{i}\mathrm{g}\mathrm{h}-\mathrm{T}}_c$ cuprates. In our model, electrons are coupled to the resonant spin-fluctuation mode observed in inelastic neutron-scattering experiments, as well as to a gapped continuum. We show that, although the weight of the resonance is small, its effect on the electron self-energy is large, and can explain various dispersion anomalies seen in the data. In agreement with the experiment, we find that these effects are a strong function of doping. We contrast our results to those expected for electrons coupled to phonons.