Self-Energies and Quasiparticle Scattering Interference
arXiv:1806.01273 · doi:10.1103/PhysRevB.98.094518
Abstract
The cuprate high-temperature superconductors are known to host a wide array of effects due to interactions and disorder. In this work, we look at some of the consequences of these effects which can be visualized by scanning tunneling spectroscopy. These interaction and disorder effects can be incorporated into a mean-field description by means of a self-energy appearing in the Green's function. We first examine the quasiparticle scattering interference spectra in the superconducting state at optimal doping as temperature is increased. Assuming agreement with angle-resolved photoemission experiments which suggest that the scattering rate depends on temperature, resulting in the filling of the -wave gap, we find that the peaks predicted by the octet model become progressively smeared as temperature is increased. When the scattering rate is of the same order of magnitude as the superconducting gap, the spectral function shows Fermi-arc-like patterns, while the power spectrum of the local density of states shows the destruction of the octet-model peaks. We next consider the normal state properties of the optimally-doped cuprates. We model this by adding a marginal Fermi liquid self-energy to the normal-state propagator, and consider the dependence of the QPI spectra on frequency, temperature, and doping. We demonstrate that the MFL self-energy leads to a smearing of the caustics appearing in the normal-state QPI power spectrum as either temperature or frequency is increased at fixed doping. The smearing is found to be more prominent in the MFL case than in an ordinary Fermi liquid. We also consider the case of a marginal Fermi liquid with a strongly momentum-dependent self-energy which gives rise to a visible "nodal-antinodal" dichotomy at the normal state, and discuss how the spectra as seen in ARPES and STS differ from both an isotropic metal and a broadened -wave superconductor.
arXiv comment24 pages, 20 figures, published version, includes minor changes
References in corpus (42)
- The pseudogap in high-temperature superconductors: an experimental survey
- How to detect fluctuating order in the high-temperature superconductors
- Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
- The pseudogap: friend or foe of high Tc?
- Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
- Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
- How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
- Phenomenology of Photoemission Lineshapes of High Tc Superconductors
- Quasiparticle Scattering Interference in High Temperature Superconductors
- ARPES Study of the Superconducting Gap Anisotropy in Bi_2Sr_2CaCu_2O_8+x
- Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
- Signature of Superfluid Density in the Single-Particle Excitation Spectrum of Bi2Sr2CaCu2O8+delta
- Holographic duality and the resistivity of strange metals
- Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
- Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
- Quasiparticles in the superconducting state of Bi2Sr2CaCu2O8
- Temperature Dependent Scattering Rates at the Fermi Surface of Optimally Doped Bi 2212
- Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
- Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
- Modeling the Fermi arc in underdoped cuprates
- The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea
- Spectroscopic Fingerprint of Phase-Incoherent Superconductivity in the Cuprate Pseudogap State
- What angle-resolved photemission experiments tell about the microscopic theory for high-temperature superconductors
- Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
- Semi-local quantum liquids
- Momentum anisotropy of the scattering rate in cuprate superconductors
- The Origin and Non-quasiparticle Nature of Fermi Arcs in BiSrCaCuO
- Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
- Nodal/Antinodal Dichotomy and the Two Gaps of a Superconducting Doped Mott Insulator
- Theory of the quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors
- Gapless superconductivity and the Fermi arc in the cuprates
- Optimal block-tridiagonalization of matrices for coherent charge transport
- Evidence of Electron Fractionalization from Photoemission Spectra in the High Temperature Superconductors
- A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
- Pre-pairing and the "Filling" Gap in the Cuprates From the Tomographic Density of States
- Quasiparticle Properties of the Superconducting State of the Two Dimensional Hubbard Model
- Parallel implementation of the recursive Green's function method
- Hidden-Fermion Representation of Self-energy in Pseudogap and Superconducting States of Two-Dimensional Hubbard Model
- Extension and optimization of the FIND algorithm: computing Green's and less-than Green's functions (with technical appendix)
- Revisiting Quasiparticle Scattering Interference in High-Temperature Superconductors: The Problem of Narrow Peaks
- Quasiparticle Density of States, Localization, and Distributed Disorder in the Cuprate Superconductors
- Quasi-Particle Interference Probe of the Self-Energy