Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$

Abstract

The nature of the superconducting order parameter in {Sr}${}_2${RuO}${}_4$ has generated intense interest in recent years. Since the superconducting gap is very small, high resolution methods such as scanning tunneling spectroscopy might be the best chance to directly resolve the gap symmetry. Recently, a Bogoliubov quasiparticle interference imaging (BQPI) experiment has suggested that the $d_{x^2-y^2}$ gap symmetry is appropriate for {Sr}${}_2${RuO}${}_4$. In this work, we use a material-specific theoretical approach based on Wannier functions of the surface of {Sr}${}_2${RuO}${}_4$ to calculate the continuum density of states as detected in scanning tunneling microscopy experiments. We examine several different proposed gap order parameters, and calculate the expected BQPI pattern for each case. Comparing to the available experimental data, our results suggest that a $s^{\prime }+i{d}_{xy}$ gap order parameter is the most probable state, but the measured BQPI patterns still display features unaccounted for by the theory for any of the states currently under discussion.

arXiv comment14 pages, 9 figures

References in corpus (58)

• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Discovery of Orbital-Selective Cooper Pairing in FeSe
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Chiral Superconductors
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Spectroscopic scanning tunneling microscopy insights into Fe-based superconductors
• Anisotropic Energy Gaps of Iron-based Superconductivity from Intra-band Quasiparticle Interference in LiFeAs
• Gap Structure of the Spin-Triplet Superconductor Sr2RuO4 Determined from the Field-Orientation Dependence of Specific Heat
• Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
• Machine Learning in Electronic Quantum Matter Imaging Experiments
• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• Reduction of the ${}^{17}$O Knight shift in the Superconducting State and the Heat-up Effect by NMR Pulses on Sr${}_2$RuO${}_4$
• Thermodynamic Evidence for a Two-Component Superconducting Order Parameter in Sr${}_2$RuO${}_4$
• Ultrasound evidence for a two-component superconducting order parameter in Sr${}_2$RuO${}_4$
• Incommensurate Magnetism around Vortices and Impurities in High-$T_c$ Superconductors
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Pairing symmetry and dominant band in Sr2RuO4
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Spin-Orbit Coupling and Electronic Correlations in Sr2RuO4
• Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4
• Momentum Resolved Superconducting Energy Gaps of Sr${}_2$RuO${}_4$ from Quasiparticle Interference Imaging
• Vertical line nodes in the superconducting gap structure of Sr2RuO4
• Strongly correlated materials from a numerical renormalization group perspective: How the Fermi-liquid state of Sr${}_2$RuO${}_4$ emerges
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• Fourier transform spectroscopy of d-wave quasiparticles in the presence of atomic scale pairing disorder
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
• Evidence from Tunneling Spectroscopy for a Quasi-One Dimensional Origin of Superconductivity in Sr2RuO4
• Superconducting order parameter of Sr${}_2$RuO${}_4$: a microscopic perspective
• Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure
• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• States of Local Moment Induced by Nonmagnetic Impurities in Cuprate Superconductors
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• Superconducting order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Antiferromagnetic correlations and impurity broadening of NMR linewidths in cuprate superconductors
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Local Moment Formation in the Superconducting State of a Doped Mott Insulator
• Quasiparticle Interference and Strong Electron-Mode Coupling in the Quasi-One-Dimensional Bands of Sr${}_2$RuO${}_4$
• Impurity states and cooperative magnetic order in Fe-based superconductors
• Disorder- and Field-Induced Antiferromagnetism in Cuprate Superconductors
• Theory of Strain-Induced Magnetic Order and Splitting of $T_c$ and $T_{\mathrm{TRSB}}$ in Sr${}_2$RuO${}_4$
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Quasiparticle Interference of the van-Hove singularity in Sr${}_2$RuO${}_4$
• Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain
• Heat capacity double transitions in time-reversal symmetry broken superconductors
• Towards a quantitative description of tunneling conductance of superconductors: application to LiFeAs
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Impurity induced magnetic ordering in Sr${}_2$RuO${}_4$

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