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.

14 pages, 9 figures

References in corpus (16)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• 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${}_4$
• Anisotropic Energy Gaps of Iron-based Superconductivity from Intra-band Quasiparticle Interference in LiFeAs
• 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
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• 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

Cited by in corpus (5)

• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Electronic Raman response of a superconductor across a time reversal symmetry breaking phase transition
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Quasiparticle Interference of Spin-Triplet Superconductors: Application to UTe${}_2$