Sharp low energy feature in single-particle spectra due to forward scattering in $d$-wave cuprate superconductors

Abstract

There is an enormous interest in renormalization of quasi-particle (qp) dispersion relation of cuprate superconductors both below and above the critical temperature $T_c$ because it enables determination of the fluctuation spectrum to which the qps are coupled. A remarkable discovery by angle-resolved photoemission spectroscopy (ARPES) is a sharp low energy feature (LEF) in qp spectra well below the superconducting energy gap but with its energy increasing in proportion to $T_c$ and its intensity increasing sharply below $T_c$. This unexpected feature needs to be reconciled with $d$-wave superconductivity. Here, we present a quantitative analysis of ARPES data from Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ (Bi2212) using Eliashberg equations to show that the qp scattering rate due to the forward scattering impurities far from the Cu-O planes is modified by the energy gap below $T_c$ and shows up as the LEF. This is also a necessary step to analyze ARPES data to reveal the spectrum of fluctuations promoting superconductivity.

11 pages, 7 figure, 1 table, Accepted for publication in Phys Rev Lett, Includes the Supplemental Material

References in corpus (4)

• Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8 Superconductor by Laser-Based Angle-Resolved Photoemission
• Tc suppression and resistivity in cuprates with out of plane defects
• Doping Evolution of Nodal Band Renormalization in Bi2Sr2CuO6+d Superconductor Revealed by Laser-Based Angle-Resolved Photoemission Spectroscopy
• Anomaly at Delta_k in the ARPES spectrum of dirty superconductors

Cited by in corpus (7)

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• Consistent two-lifetime model for spectral functions of superconductors
• Reverse process of usual optical analysis of boson-exchange superconductors: impurity effects on $s$- and $d$-wave superconductors
• How to pin down the pairing interaction for high Tc superconductivity in cuprates
• Quantitative Determination of the Pairing Interactions for High Temperature Superconductivity in Cuprates