Revisiting Quasiparticle Scattering Interference in High-Temperature Superconductors: The Problem of Narrow Peaks

Abstract

We revisit the interpretation of quasiparticle scattering interference in cuprate high-$T_c$ superconductors. This phenomenon has been very successful in reconstructing the dispersions of d-wave Bogoliubov excitations, but the successful identification and interpretation of QPI in scanning tunneling spectroscopy (STS) experiments rely on theoretical results obtained for the case of isolated impurities. We introduce a highly flexible technique to simulate STS measurements by computing the local density of states using real-space Green's functions defined on two-dimensional lattices with as many as 100,000 sites. We focus on the following question: to what extent can the experimental results be reproduced when various forms of distributed disorder are present? We consider randomly distributed point-like impurities, smooth "Coulombic" disorder, and disorder arising from random on-site energies and superconducting gaps. We find an apparent paradox: the QPI peaks in the Fourier-transformed local density of states appear to be sharper and better defined in experiment than those seen in our simulations. We arrive at a no-go result for smooth-potential disorder since this does not reproduce the QPI peaks associated with large-momentum scattering. An ensemble of point-like impurities gets closest to experiment, but this goes hand in hand with impurity cores that are not seen in experiment. We also study the effects of possible measurement artifacts (the "fork mechanism"), which turn out to be of relatively minor consequence. It appears that there is an unknown mechanism at work which renders the QPI peaks much sharper than they are based on present theoretical understanding.

23 pages, 25 figures, published version, includes minor changes

References in corpus (55)

• How to detect fluctuating order in the high-temperature superconductors
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Effect of chemical inhomogeneity in the bismuth-based copper oxide superconductors
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+d
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• Imaging the Fano Lattice to 'Hidden Order' Transition in URu2Si2
• Inherent Inhomogeneities in Tunneling Spectra of BSCCO Crystals in the Superconducting State
• Imaging Cooper Pairing of Heavy Fermions in CeCoIn5
• Anisotropic Energy Gaps of Iron-based Superconductivity from Intra-band Quasiparticle Interference in LiFeAs
• Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
• Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
• The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea
• Anisotropic Impurity-States, Quasiparticle Scattering and Nematic Transport in Underdoped Ca(Fe1-xCox)2As2
• Dopant-modulated pair interaction in cuprate superconductors
• What angle-resolved photemission experiments tell about the microscopic theory for high-temperature superconductors
• Quasiparticle scattering and local density of states in graphite
• Theory of the nodal nematic quantum phase transition in superconductors
• Impurity states and interlayer tunneling in high temperature superconductors
• Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder
• Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Details of disorder matter in 2D d-wave superconductors
• Theory of the quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors
• Power spectrum of many impurities in a d-wave superconductor
• Periodic Coherence Peak Height Modulations in Superconducting BSCCO
• Heavy d-Electron Quasiparticle Interference and Real-space Electronic Structure of Sr3Ru2O7
• Effective Lorentz Force due to Small-angle Impurity Scattering: Magnetotransport in High-Tc Superconductors
• Optimal block-tridiagonalization of matrices for coherent charge transport
• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Direct Evidence for a Magnetic f-electron Mediated Cooper Pairing Mechanism of Heavy Fermion Superconductivity in CeCoIn5
• Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM
• Identifying the `Fingerprint' of Antiferromagnetic Spin-Fluctuations on Iron-Pnictide Superconductivity
• Hall effect in the marginal Fermi liquid regime of high-Tc superconductors
• Friedel Oscillations as a Probe of Fermionic Quasiparticles
• Magnetic field evolution of the quasiparticle interference in a d-wave superconductor
• Two impurities in a d-wave superconductor:local density of states
• Parallel implementation of the recursive Green's function method
• Quasiparticle scattering and local density of states in the d-density wave phase
• Quantum interference in nested d-wave superconductors: a real-space perspective
• Quasiparticle interference patterns as a test for the nature of the pseudogap phase in the cuprate superconductors
• Extension and optimization of the FIND algorithm: computing Green's and less-than Green's functions (with technical appendix)
• Failure of Scattering Interference in the Pseudogap State of Cuprate Superconductors
• Interference of nematic quantum critical quasiparticles: a route to the octet model

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• Direct comparison of ARPES, STM, and quantum oscillation data for band structure determination in Sr${}_2$RhO${}_4$
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