Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr$_2$RuO$_4$

Meghdad Yazdani-Hamid; Mehdi Biderang; Alireza Akbari

doi:10.1103/2gdb-5l5x

paper

Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr $_{2}$ RuO $_{4}$

arXiv:2501.14254 · doi:10.1103/2gdb-5l5x

Abstract

Motivated by the sensitivity of Sr $_{2}$ RuO $_{4}$ to Fermi surface reconstructions under strain, we investigate how Fermi surface geometry and Van Hove singularities influence the optical Hall response and polar Kerr effect. Within a three-orbital model, we explore the impact of chemical potential and interlayer hopping on superconducting pairing and response functions. We find that $d_{x^{2} - y^{2}}$ and $d_{x^{2} - y^{2}} + i g$ symmetries are the leading candidates for the quasi-2D orbital, while a chiral $p$ -wave state in the quasi-1D orbitals is essential for generating an accessible Kerr angle. The Lifshitz transition is shown to affect coherence factors and density-of-states peaks, producing sharp signatures in $T_{c}$ and optical transport. Inter-orbital charge transfer further enhances these effects by modifying the balance between quasi-1D and quasi-2D contributions. These results provide a framework for interpreting Kerr effect experiments in multi-orbital superconductors.

arXiv comment10 pages, 5 figures, 1 table

Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr2​RuO4​

Abstract

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Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr $_{2}$ RuO $_{4}$