Superconducting coherence lengths of hole-doped cuprates obtained from electron-boson spectral density functions

Abstract

Electron-boson spectral density functions (EBSDFs) can be obtained from measured spectra using various spectroscopic techniques, including optical spectroscopy. EBSDFs, known as glue functions, have a magnetic origin. Here, we investigated EBSDFs obtained from the measured optical spectra of hole-doped cuprates with wide doping levels, from underdoped to overdoped cuprates. The average frequency of an EBSDF provides the timescale for the spin fluctuations to form Cooper pairs. This timescale is directly associated with retarded interactions between electrons. Using this timescale and Fermi velocity, a reasonable superconducting coherence length, which reflects the size of the Cooper pair, can be extracted. The obtained coherence lengths were consistent with those measured via other experimental techniques. Therefore, the formation of Cooper pairs in cuprates can be explained by spin fluctuations, the timescales of which appear in EBSDFs. Consequently, EBSDFs provide crucial information on the timescale of the microscopic mechanism of Cooper pair formation.

arXiv comment5 pages, 5 figures

References in corpus (24)

• Interplay of electron-lattice interactions and superconductivity in Bi2Sr2CaCu2O8+d
• On the Doping and Temperature Dependence of the Mass Enhancement Observed in the Cuprate Bi2212
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• High-transition-temperature superconductivity in the absence of the magnetic-resonance mode
• Coupling strength of charge carriers to spin fluctuations in high-temperature superconductors
• Low-Energy Quasiparticles in Cuprate Superconductors: A Quantitative Analysis
• Correlation of Tunneling Spectra in Bi2Sr2CaCu2O(8+delta) with the Resonance Spin Excitation
• High-energy kink in high-temperature superconductors
• 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
• Doping-dependent nodal Fermi velocity in Bi-2212 revealed by high-resolution ARPES
• Evolution of the resistivity anisotropy in Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ} single crystals for a wide range of hole doping
• The a-axis optical conductivity of detwinned ortho-II YBa_2Cu_3O_6.50
• Coupling to spin fluctuations from conductivity scattering rates
• Nature of the charge-density wave excitations in cuprates
• Inversion techniques for optical conductivity data
• Persistence of Strong Electron Coupling to a Narrow Boson Spectrum in Overdoped BiSrCaCuO (Bi2212) Tunneling Data
• Evidence for a pseudogap in underdoped $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ and $YB{a}_{2}C{u}_3{O}_{6.50}$ from in-plane optical conductivity measurements
• Multi-orbital charge density wave excitations and concomitant phonon anomalies in Bi${}_2$Sr${}_2$LaCuO${}_{6+\delta }$
• Bosonic spectral density of epitaxial thin-film La1.83Sr0.17CuO4 superconductors from infrared conductivity measurements
• Doping dependent optical properties of Bi2201
• The electron-boson spectral density function of underdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and YBa${}_2$Cu${}_3$O
• Intrinsic temperature-dependent evolutions in the electron-boson spectral density obtained from optical data
• Reverse process of usual optical analysis of boson-exchange superconductors: impurity effects on $s$- and $d$-wave superconductors

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