Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain

Abstract

We analyze the spin anisotropy of the magnetic susceptibility of Sr${}_2$RuO$4$ in presence of spin-orbit coupling and anisotropic strain using quasi-two-dimensional tight-binding parametrization fitted to the ARPES results. Similar to the previous observations we find the in-plane polarization of the low $\mathbf{q}$ magnetic fluctuations and the out-of-plane polarization of the incommensurate magnetic fluctuation at the nesting wave vector ${\mathbf{Q}}_1=(2/3\pi ,2/3\pi )$ but also nearly isotropic fluctuations near ${\mathbf{Q}}_2=(\pi /6,\pi /6)$. Furthermore, one finds that apart from the high-symmetry direction of the tetragonal Brillouin zone the magnetic anisotropy is maximal, i.e. ${\chi }^{xx}\ne {\chi }^{yy}\ne {\chi }^{zz}$. This is the consequence of the orbital anisotropy of the $xz$ and $yz$ orbitals in the momentum space. We also study how the magnetic anisotropy evolves in the presence of the strain and find strong Ising-like ferromagnetic fluctuations near the Lifshitz transition for the $xy$-band.

arXiv comment6 pages, 4 figures

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• Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Theory of Strain-Induced Magnetic Order and Splitting of $T_c$ and $T_{\mathrm{TRSB}}$ in Sr${}_2$RuO${}_4$
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Anisotropy of magnetic interactions and symmetry of the order parameter in unconventional superconductor Sr${}_2$RuO${}_4$
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Interplay between spin-orbit coupling and van Hove singularity in the Hund's metallicity of Sr${}_2$RuO${}_4$
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Spin-orbit and anisotropic strain effects on the electronic correlations of Sr${}_2$RuO${}_4$
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• SrRuO${}_3$-SrTiO${}_3$ heterostructure as a possible platform for studying unconventional superconductivity in Sr${}_2$RuO${}_4$
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Orbital dichotomy of Fermi liquid properties in Sr${}_2$RuO${}_4$ revealed by Raman spectroscopy
• Uniaxial stress effect on the electronic structure of quantum materials
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Spin and charge order in doped spin-orbit coupled Mott insulators
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Competing spin-fluctuations in Sr${}_2$RuO${}_4$ and their tuning through epitaxial strain
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$