Quantitative Comparison between Electronic Raman Scattering and Angle-Resolved Photoemission Spectra in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Superconductors: Doping Dependence of Nodal and Antinodal Superconducting Gaps

Abstract

Both electronic Raman scattering (ERS) and angle-resolved photoemission spectra (ARPES) revealed two energy scales for the gap in different momentum spaces in the cuprates. However, the interpretations were different, and the gap values were also different in two experiments. In order to clarify the origin of these discrepancies, we directly compared ERS and ARPES by calculating ERS from the experimental data of ARPES through the Kubo formula. The calculated ERS spectra were in good agreement with the experimental results except for the B${}_{1g}$ peak energies. The doping-dependent B${}_{2g}$ peak energy was well reproduced from a doping-independent d-wave gap deduced from ARPES, by assuming a particular spectral weight distribution along the Fermi surface. The B${}_{1g}$ peak energies could not be reproduced by the ARPES data. The difference between B${}_{1g}$ ERS and antinodal ARPES became larger with underdoping, which implies that the effect of the pseudogap is different in these two techniques.

17 pages, 6 figures, accepted in J. Phys. Soc. Jpn

References in corpus (7)

• Scanning tunneling spectroscopy of high-temperature superconductors
• Inelastic Light Scattering From Correlated Electrons
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Phase competition in trisected superconducting dome