Friedel Oscillations as a Probe of Fermionic Quasiparticles

Abstract

When immersed in a see of cold electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these modulations is usually computed only for non-interacting electrons with a quadratic dispersion relation. In actual materials, one needs to take into account several additional factors, such as (i) the details of the band structure, (ii) the lifetime of quasiparticles, (iii) in superconductors, the presence of a pairing gap. Studying how these effects influence Friedel oscillations is a viable way to access the properties of fermionic excitations in strongly-correlated materials. In this work we analyze the signatures of Friedel oscillations in STM and X-ray scattering experiments, focusing on the concrete example of cuprates superconductors. A detailed comparison with recent experiments reveals a rich interplay between local modulation of the chemical potential and of the pairing gap.

18 pages, 14 figures, content updated, now including a discussion on c-axis correlations

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Cited by in corpus (29)

• Charge ordering in superconducting copper oxides
• Distinct fingerprints of charge density waves and electronic standing waves in ZrTe${}_3$
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Impact of Iron-site defects on Superconductivity in LiFeAs
• Towards a quantitative description of tunneling conductance of superconductors: application to LiFeAs
• Prevailing charge order in overdoped cuprates beyond the superconducting dome
• Holographic Maps of Quasiparticle Interference
• Odd-frequency pair density wave correlations in underdoped cuprates
• Revisiting Quasiparticle Scattering Interference in High-Temperature Superconductors: The Problem of Narrow Peaks
• Observation of electronic bound states in charge-ordered YBa${}_2$Cu${}_3$O${}_y$
• Adiabatic variation of the charge-density-wave phase diagram in the 123 cuprate (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Real-space dynamical mean-field theory of Friedel oscillations in strongly correlated electron systems
• Multifaceted impact of a surface step on superconductivity in atomically thin films
• Characterization of density oscillations in confined and degenerate Fermi gases
• Detecting Nematic Order in STM/STS Data with Artificial Intelligence
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Friedel oscillations in two-dimensional materials with inverted bands and Mexican-hat dispersion
• Auxiliary fermion approach to the RIXS spectrum in a doped cuprate
• Friedel Oscillations and superconducting-gap enhancement by impurity scattering
• Quasiparticle scattering interference in cuprate superconductors
• Impurity with a resonance in the vicinity of the Fermi energy
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• T-matrix formulation of real-space dynamical mean-field theory and the Friedel sum rule for correlated lattice fermions
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
• Non-Hermitian Lindhard function and Friedel oscillations
• Paring density waves as the origin of a ring-like RIXS profile in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$