Characteristics of oxygen isotope substitutions in the quasiparticle spectrum of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

There is an ongoing debate about the nature of the bosonic excitations responsible for the quasiparticle self energy in high temperature superconductors -- are they phonons or spin fluctuations? We present a careful analysis of the bosonic excitations as revealed by the `kink' feature at 70 meV in angle resolved photoemission data using Eliashberg theory for a d-wave superconductor. Starting from the assumption that nodal quasiparticles are not coupled to the $(\pi ,\pi )$ magnetic resonance, the sharp structure at $70$meV can be assigned to phonons. We find that not only can we account for the shifts of the kink energy seen on oxygen isotope substitution but also get a quantitative estimate of the fraction of the area under the electron-boson spectral density which is due to phonons. We conclude that for optimally doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ phonons contribute $\sim 10$% and non-phononic excitations $\sim 90$%.

arXiv comment6 pages, 3 figures

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• Disentangling the electronic and phononic glue in a high-Tc superconductor
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Bosons in high temperature superconductors: an experimental survey
• Anomalous Thermal Diffusivity in Underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
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• Isotope Effect of Underdoped Cuprates in the Yang-Rice-Zhang Model