Phase-sensitive determination of nodal $\mathbf{d}$-wave order parameter in single-band and multiband superconductors

Abstract

Determining the exact pairing symmetry of the superconducting order parameter in candidate unconventional superconductors remains an important challenge. Recently a new method, based on phase sensitive quasiparticle interference measurements, was developed to identify gap sign changes in isotropic multiband systems. Here we extend this approach to the single-band and multiband nodal $d$-wave superconducting cases relevant, respectively, for the cuprates and likely for the infinite-layer nickelate superconductors. Combining analytical and numerical calculations, we show that the antisymmetrized correction to the tunneling density of states due to nonmagnetic impurities in the Born and intermediate-scattering limits shows characteristic features for sign-changing and sign-preserving scattering wavevectors, as well as for the momentum-integrated quantity. Furthermore, using a realistic approach accounting for the Wannier orbitals, we model scanning tunneling microscopy data of ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$, which should allow the comparison of our theory with experimental data.

12 pages, 12 figures

References in corpus (38)

• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Pairing Symmetry and Pairing State in Ferropnictides: Theoretical Overview
• Discovery of Orbital-Selective Cooper Pairing in FeSe
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Formation of 2D single-component correlated electron system and band engineering in the nickelate superconductor NdNiO2
• Robust $d_{x^2-y^2}$-wave superconductivity of infinite-layer nickelates
• Imaging Cooper Pairing of Heavy Fermions in CeCoIn5
• Spectroscopic scanning tunneling microscopy insights into Fe-based superconductors
• Anisotropic Energy Gaps of Iron-based Superconductivity from Intra-band Quasiparticle Interference in LiFeAs
• Nickelate superconductors $--$ Multiorbital nature and spin freezing
• Insulating Ferromagnetism in La${}_4$Ba${}_2$Cu${}_2$O${}_{10}$: an \textit{Ab Initio} Wannier Function Analysis
• The wave-vector power spectrum of the local tunnelling density of states: ripples in a d-wave sea
• Coherence factors in a high-Tc cuprate probed by quasi-particle scattering off vortices
• Anisotropic Impurity-States, Quasiparticle Scattering and Nematic Transport in Underdoped Ca(Fe1-xCox)2As2
• Spectroscopic Fingerprint of Phase-Incoherent Superconductivity in the Cuprate Pseudogap State
• Effect of the magnetic resonance on the electronic spectra of high Tc superconductors
• Imaging Orbital-selective Quasiparticles in the Hund's Metal State of FeSe
• 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
• Experimental Demonstration of the Sign Reversal of the Order Parameter in (Li1-xFex)OHFe1-yZnySe
• Power spectrum of many impurities in a d-wave superconductor
• Visualization of atomic-scale phenomena in superconductors: application to FeSe
• A momentum-dependent perspective on quasiparticle interference in Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Model for nodal quasiparticle scattering in a disordered vortex lattice
• From Mott to not: phenomenology of overdoped cuprates
• Identifying the `Fingerprint' of Antiferromagnetic Spin-Fluctuations on Iron-Pnictide Superconductivity
• Magnetic field evolution of the quasiparticle interference in a d-wave superconductor
• Quasiparticle interference in heavy Fermion superconductor CeCoIn_5
• Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference
• Holographic Maps of Quasiparticle Interference
• Direct visualization of sign reversal s^+- superconducting gaps in FeTe0.55Se0.45
• Robustness of Quasiparticle Interference Test for Sign-changing Gaps in Multiband Superconductors
• Revisiting Quasiparticle Scattering Interference in High-Temperature Superconductors: The Problem of Narrow Peaks
• Detecting sign-changing superconducting gap in LiFeAs using quasiparticle interference
• Field-induced local moments around nonmagnetic impurities in metallic cuprates

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• Hund-Heisenberg model in superconducting infinite-layer nickelates
• Electronic Theory for Scanning Tunneling Microscopy Spectra in Infinite-Layer Nickelate Superconductors
• Quasiparticle interference as a direct experimental probe of bulk odd-frequency superconducting pairing
• Multi-Atom Quasiparticle Scattering Interference for Superconductor Energy-Gap Symmetry Determination
• Theory of Josephson scanning microscopy with $s$-wave tip on unconventional superconducting surface: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Detecting the topological winding of superconducting nodes via Local Density of States
• Quasiparticle Interference of Spin-Triplet Superconductors: Application to UTe${}_2$