Finite band inversion of ARPES in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ in comparison with optics

Abstract

Using a maximum entropy technique within a finite band Eliashberg formalism we extract from recent high accuracy nodal direction angular resolved photo-emission spectroscopy (ARPES) data in optimally doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ (Bi2212) a quasiparticle electron-boson spectral density. Both normal and superconducting state with d-wave gap symmetry are treated. Finite and infinite band results are considered and contrasted. We compare with results obtained for the related transport spectral density which follows from a similar inversion of optical data. We discuss the implication of our results for quasiparticle renormalizations in the antinodal direction.

9 pages, 7 figures submitted to Physical Review B

References in corpus (4)

• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• The hierarchy of multiple many-body interaction scales in high-temperature superconductors
• Direct extraction of the Eliashberg function for electron-phonon coupling: A case study of Be(1010)
• Impurity effects on optical response in a finite band electronic system coupled to phonons

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• Comments on the d-wave pairing mechanism for cuprate high $T_c$ superconductors: Higher is different?
• Renormalization group approach to anisotropic superconductivity
• Bosonic excitation spectra of superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$ and $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$ extracted from scanning tunneling spectra
• Unravelling the glue and the competing order in superconducting cuprates