Elastic forward scattering in the cuprate superconducting state

Abstract

We investigate the effect of elastic forward scattering on the ARPES spectrum of the cuprate superconductors. In the normal state, small angle scattering from out-of-plane impurities is thought to broaden the ARPES spectral response with minimal effect on the resistivity or the superconducting transition temperature $T_c$. Here we explore how such forward scattering affects the ARPES spectrum in the d-wave superconducting state. Away from the nodal direction, the one-electron impurity scattering rate is found to be suppressed as $\omega$ approaches the gap edge by a cancellation between normal and anomalous scattering processes, leading to a square-root-like feature in the spectral weight as $\omega$ approaches $-Δ_\k$ from below. For momenta away from the Fermi surface, our analysis suggests that a dirty optimally or overdoped system will still display a sharp but nondispersive peak which could be confused with a quasiparticle spectral feature. Only in cleaner samples should the true dispersing quasiparticle peak become visible. At the nodal point on the Fermi surface, the contribution of the anomalous scattering vanishes and the spectral weight exhibits a Lorentzian quasiparticle peak in both energy and momentum. Our analysis, including a treatment of unitary scatterers and inelastic spin fluctuation scattering, suggests explanations for the sometimes mysterious lineshapes and temperature dependences of the peak structures observed in the \BSCCO system.

12 pages, 14 figures

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Cited by in corpus (40)

• Defects in correlated metals and superconductors
• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• A Theory of the Pseudogap State of the Cuprates
• The effect of collective spin-1 excitations on electronic spectra in high-Tc superconductors
• Fermi Surface and Quasiparticle Excitations of overdoped Tl2Ba2CuO6+d by ARPES
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Effect of disorder outside the CuO${}_2$ planes on $T_c$ of copper oxide superconductors
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Dopant-modulated pair interaction in cuprate superconductors
• Anisotropy of the in-plane resistivity of underdoped Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ superconductors induced by impurity scattering in the antiferromagnetic orthorhombic phase
• Using controlled disorder to distinguish $s_{\pm }$ and $s_{++}$ gap structure in Fe-based superconductors
• Microscopic interpretation of the Dynes formula for the tunneling density of states
• Tl2Ba2CuO6+d Brings Spectroscopic Probes Deep Into the Overdoped Regime of the High-Tc Cuprates
• Competing ferromagnetism in high temperature copper oxide superconductors
• Unmasking the nodal quasiparticle dynamics in cuprate superconductors using low-energy photoemission
• Bosonic Spectral Function and The Electron-Phonon Interaction in HTSC Cuprates
• Violation of the isotropic-$\ell$ approximation in overdoped La_{2-x}Sr_xCuO_4
• Nodal Quasiparticle Lifetimes in Cuprate Superconductors
• Microwave conductivity of d-wave superconductors with extended impurities
• Effects of out-of-plane disorder on the nodal quasiparticle and superconducting gap in single-layer Bi${}_2$Sr${}_{1.6}L{n}_{0.4}$CuO${}_{6+\delta }$ ($Ln$ = La, Nd, Gd)
• Tc suppression and resistivity in cuprates with out of plane defects
• Fine Details of the Nodal Electronic Excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Negative electronic compressibility and nanoscale inhomogeneity in ionic-liquid gated two-dimensional superconductors
• Nernst effect beyond the relaxation-time approximation
• Local quasiparticle lifetimes in a d-wave superconductor
• Modification of Born impurity scattering near the surface of d-wave superconductors and influence of external magnetic field
• Consistent two-lifetime model for spectral functions of superconductors
• Anisotropic scattering in angular-dependent magnetoresistance oscillations of quasi-2D and quasi-1D metals: beyond the relaxation-time approximation
• Sharp low energy feature in single-particle spectra due to forward scattering in $d$-wave cuprate superconductors
• Disorder and Critical Current Variability in Josephson Junctions
• Magnetic correlations on the full chains of Ortho-II YBa${}_2$Cu${}_3$O${}_{6.5}$
• Anomaly at Delta_k in the ARPES spectrum of dirty superconductors
• Impurity induced resistivity upturns in underdoped cuprates
• How to pin down the pairing interaction for high Tc superconductivity in cuprates
• Angle and frequency dependence of self-energy from spin fluctuations mediated d-wave pairing for high temperature superconductors
• Enhanced Coherence of Antinodal Quasiparticles in a Dirty d-wave Superconductor
• Quasiparticle scattering interference in cuprate superconductors
• Quantitative Determination of the Pairing Interactions for High Temperature Superconductivity in Cuprates
• Exact summation of vertex corrections to the penetration depth in d-wave superconductors
• Correlations Among STM Observables in Disordered Unconventional Superconductors