Effect of the nonmonotonic d-wave superconducting gap on the electronic Raman scattering of electron-doped cuprate superconductors

ABSTRACT

By considering a nonmonotonic d-wave superconducting (SC) gap effect in electron-doped cuprate superconductors, the energy and momentum dependence of the electronic Raman scattering is studied. The electronic Raman scattering of electron-doped cuprate superconductors has obvious differences with hole-doped case described by a pure d-wave SC gap, which can be attributed to the nonmonotonic d-wave SC gap in electron-doped cuprate superconductors. Three main different behaviours for the electronic Raman scattering spectra between electron-doped and hole-doped cuprate superconductors have been obtained, the intensity comparison of $B_{1g}$ and $B_{2g}$ spectra, the Raman peak positions as a function of energy for $B_{1g}$ and $B_{2g}$ spectra, and energy asymptotic behaviour of the low-energy $B_{1g}$ spectrum. For electron-doped cuprate superconductors, the intensity of $B_{2g}$ spectrum as a function of energy is larger than $B_{1g}$ one, and the Raman peak position of $B_{2g}$ spectrum appears at a higher energy than $B_{1g}$ one, then the low-energy spectrum of $B_{1g}$ as a function of energy increases linearly, not ${\omega }^3$ energy dependence. All these theoretical results of electron-doped cuprate superconductors are in qualitative agreement with the corresponding Raman scattering experimental data.

KEYWORDS:

• Electron-doped cuprate superconductors
• topology of Fermi surface
• electronic Raman scattering
• nonmonotonic d-wave superconducting gap

Acknowledgments

The authors would like to thank Professor Yong Wan for helpful discussion.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This work was supported by the funds from the National Natural Science Foundation of China [grant number 11547034], [grant number 11847609].