Electron-boson glue function derived from electronic Raman scattering

Abstract

Raman scattering cross sections depend on photon polarization. In the cuprates nodal and antinodal directions are weighted more strongly in $B_{2g}$ and $B_{1g}$ symmetry, respectively. On the other hand in angle-resolved photoemission spectroscopy (ARPES), electronic properties are measured along well-defined directions in momentum space rather than their weighted averages. In contrast, the optical conductivity involves a momentum average over the entire Brillouin zone. Newly measured Raman response data on high-quality Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals up to high energies have been inverted using a modified maximum entropy inversion technique to extract from $B_{1g}$ and $B_{2g}$ Raman data corresponding electron-boson spectral densities (glue) are compared to the results obtained with known ARPES and optical inversions. We find that the $B_{2g}$ spectrum agrees qualitatively with nodal direction ARPES while the $B_{1g}$ looks more like the optical spectrum. A large peak around $30-40$meV in $B_{1g}$, much less prominent in $B_{2g}$, is taken as support for the importance of $(\pi ,\pi )$ scattering at this frequency.

7 pages, 3 figures

References in corpus (12)

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Cited by in corpus (13)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Bosons in high temperature superconductors: an experimental survey
• Charge order at high temperature in cuprate superconductors
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• In search for the pairing glue in cuprates by non-equilibrium optical spectroscopy
• Superconductivity and fluctuation in Ba${}_{1-p}$K${}_p$Fe${}_2$As${}_2$ and Ba(Fe${}_{1-n}$Co${}_n$)${}_2$As${}_2$
• High energy fluctuation spectra in cuprates from infrared optical spectroscopy
• Pseudogap-induced anisotropic suppression of electronic Raman response in cuprate superconductors
• Glue function of optimally and overdoped cuprates from inversion of the Raman spectra
• 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