Reverse process of usual optical analysis of boson-exchange superconductors: impurity effects on $s$- and $d$-wave superconductors

Abstract

We performed a reverse process of a usual optical data analysis of boson-exchange superconductors. We calculated the optical self-energy from two (MMP and MMP+peak) input model electron-boson spectral density functions using Allen's formula for one normal and two ($s$- and $d$-wave) superconducting cases. We obtained the optical constants including the optical conductivity and the dynamic dielectric function from the optical self-energy using an extended Drude model, and finally calculated reflectance spectrum. Furthermore to investigate impurity effects on optical quantities we added various levels of impurities (from the clean to the dirty limit) in the optical self-energy and performed the same reverse process to obtain the optical conductivity, the dielectric function, and reflectance. We observed that impurities give similar effects on various optical constants of $s$- and $d$-wave superconductors; the more impurities give the more distinct gap feature and the less superfluid density. However, the $s$-wave superconductor gives the superconducting gap feature more clearly than the $d$-wave superconductor because in the $d$-wave superconductors the optical quantities are averaged over the anisotropic Fermi surface. Our results also supply helpful information to see how characteristic features of the electron-boson spectral function and the $s$- and $d$-wave superconducting gaps appear in various optical constants including raw reflectance spectrum. Our study also may help to understand the usual optical analysis process thoroughly. Further systematic study of experimental data collected at various conditions using the optical analysis process will help to reveal the origin of the mediated boson in the boson-exchange superconductors.

arXiv comment21 pages, 9 figures

References in corpus (30)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
• The Magnetic Excitation Spectrum and Thermodynamics of High-$T_c$ Superconductors
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• The Electronic Nature of High Temperature Cuprate Superconductors
• High-transition-temperature superconductivity in the absence of the magnetic-resonance mode
• Coupling strength of charge carriers to spin fluctuations in high-temperature superconductors
• High-energy kink in high-temperature superconductors
• Doping dependent optical properties of Bi2Sr2CaCu2O8+d
• Heavy Quark Diffusion from the Lattice
• Optical determination of the relation between the electron-boson coupling function and the critical temperature in high T${}_c$ cuprates
• Bosons in high temperature superconductors: an experimental survey
• Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8 Superconductor by Laser-Based Angle-Resolved Photoemission
• On the Relation between Optical Conductivity and Quasiparticle Dynamics: Boson Structures
• Extracting the electron--boson spectral function ${\alpha }^2$F($\omega$) from infrared and photoemission data using inverse theory
• The a-axis optical conductivity of detwinned ortho-II YBa_2Cu_3O_6.50
• Pairing dynamics in strongly correlated superconductivity
• Coupling to spin fluctuations from conductivity scattering rates
• Optical sum rule violation, superfluid weight and condensation energy in the cuprates
• ARPES and optical renormalizations: phonons or spin fluctuations
• Inversion techniques for optical conductivity data
• Persistence of Strong Electron Coupling to a Narrow Boson Spectrum in Overdoped BiSrCaCuO (Bi2212) Tunneling Data
• Effects of energy dependence in the quasiparticle density of states on far-infrared absorption in the pseudogap state
• Low-energy (< 10 meV) feature in the nodal electron self-energy and strong temperature dependence of the Fermi velocity in Bi(2)Sr(2)CaCu(2)O(8+delta)
• Spin Dynamics in Cuprates: Optical Conductivity of HgBa2CuO4
• Bosonic spectral density of epitaxial thin-film La1.83Sr0.17CuO4 superconductors from infrared conductivity measurements
• Flavour singlet physics in lattice QCD with background fields
• Doping-dependent energy scale of the low-energy band renormalization in (Bi,Pb)2(Sr,La)2CuO6+d
• Fermi surface arcs and the infrared conductivity of underdoped YBa${}_2$Cu${}_3$O${}_{6.50}$
• Sharp low energy feature in single-particle spectra due to forward scattering in $d$-wave cuprate superconductors

Cited by in corpus (4)

• Superconducting coherence lengths of hole-doped cuprates obtained from electron-boson spectral density functions
• Analysis of optical data using extended Drude model and generalized Allen's formulas
• Electron-boson spectral density functions of cuprates obtained from optical spectra via machine learning
• Planckian behavior of cuprates at the pseudogap critical point simulated via flat electron-boson spectral density