Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$

Abstract

Quasiparticle interference (QPI) in spectroscopic imaging scanning tunneling microscopy provides a powerful method to detect orbital band structures and orbital ordering patterns in transition metal oxides. We use the $T$-matrix formalism to calculate the QPI spectra for the unconventional metamagnetic system of Sr${}_3$Ru${}_2$O${}_7$ with a $t_{2g}$-orbital band structure. A detailed tight-binding model is constructed accounting for features such as spin-orbit coupling, bilayer splitting, and the staggered rotation of the RuO octahedra. The band parameters are chosen by fitting the calculated Fermi surfaces with those measured in the angular-resolved photo-emission spectroscopy experiment. The calculated quasiparticle interference at zero magnetic field exhibits a hollow square-like feature arising from the nesting of the quasi-1d $d_{xz}$ and $d_{yz}$ orbital bands, in agreement with recent measurements by J. Lee {\it et al.} (Nature Physics {\bf 5}, 800 (2009)). Rotational symmetry breaking in the nematic metamagnetic state also manifests in the quasi-particle interference spectra.

13 pages, 12 figures, New refrences are added, and some typos are corrected. Published version

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• Quantum oscillations near the metamagnetic transition in Sr3Ru2O7
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• Anisotropic vortex lattice structures in the FeSe superconductor
• Multi-orbital physics in Fermi liquids prone to magnetic order
• Orbitally selective breakdown of Fermi liquid quasiparticles in Ca${}_{1.8}$Sr${}_{0.2}$RuO${}_4$
• Multiorbital and hybridization effects in the quasiparticle interference of triplet superconductor Sr2RuO4
• Transport signatures of spatially modulated electronic nematic phases
• Emergent charge order near the doping-induced Mott-insulating quantum phase transition in Sr${}_3$Ru${}_2$O${}_7$
• The role of bandstructure in the thermodynamic properties of itinerant metamagnets
• Competing magnetic orders in quantum critical Sr${}_3$Ru${}_2$O${}_7$
• Defining the Topological Influencers and Predictive Principles to Engineer Band Structure of Halide Perovskites
• Atomic-scale imaging of emergent order at a magnetic-field-induced Lifshitz transition
• Quasiparticle scattering interference in iron pnictides: A probe of the origin of nematicity
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• Structural and magnetic field effects on spin fluctuations in Sr${}_3$Ru${}_2$O${}_7$
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• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Fermi surface instabilities at finite Temperature
• Reentrant behaviour in Landau Fermi liquids with spin-split Pomeranchuk instabilities
• Characterizing Featureless Mott Insulating State by Quasiparticle Interferences - A Dynamical Mean Field Theory Prospect
• Unrestricted Hartree-Fock Analysis of Sr${}_{3-x}$Ca${}_x$Ru${}_2$O${}_7$