On the relative positions of the $2\Delta$ peaks in Raman and tunneling spectra of d-wave superconductors

Abstract

We study $B_{1g}$ Raman intensity $R(\Omega )$ and the density of states $N(\omega )$ in isotropic 2D d-wave superconductors. For an ideal gas, $R(\Omega )$ and $N(\omega )$ have sharp peaks at $\Omega =2\Delta$ and $\omega =\Delta$, respectively, where $\Delta$ is the maximum value of the gap. We study how the peak positions are affected by the fermionic damping due to impurity scattering. We show that while the damping generally shifts the peak positions to larger frequencies, the peak in $R(\Omega )$ still occurs at almost twice the peak position in $N(\omega )$ and therefore cannot account for the experimentally observed downturn shift of the peak frequency in $R(\Omega )$ in underdoped cuprates compared to twice that in $N(\omega )$. We also discuss how the fermionic damping affects the dynamical spin susceptibility.

5 pages, 2 figures

References in corpus (3)

• The Magnetic Excitation Spectrum and Thermodynamics of High-$T_c$ Superconductors
• A relation between the resonance neutron peak and ARPES data in cuprates
• Electronic Raman Scattering in Superconducting Cuprates

Cited by in corpus (5)

• Evidence of Doping-Dependent Pairing Symmetry in Cuprate Superconductors
• Strongly correlated s-wave pairing in the n-type infinite-layer cuprate
• Competing orders and the doping and momentum dependent quasiparticle excitations in cuprate superconductors
• Self-energy effects in electronic Raman spectra of doped cuprates due to magnetic fluctuations
• Spatial homogeneity and doping dependence of quasiparticle tunneling spectra in cuprate superconductors