Signatures of Hund Metal and Fermi Liquid Behavior in Sr$_2$RuO$_4$ Revealed by Electronic Raman Scattering

Abstract

We investigate the electronic Raman scattering of Sr$_2$RuO$_4$ using a material-realistic dynamical mean-field theory approach. We identify the low-energy Fermi liquid behavior and point out that the enhanced Raman response at higher energies displays clear signatures of Hund metals physics. These signatures originate in the two-stage coherence of Hund metals and associated quasiparticle 'unrenormalization'. In agreement with recent experimental observations we find a strong dichotomy between the $\mathrm{B}_{1g}$ and $\mathrm{B}_{2g}$ response, but our calculations suggest a novel interpretation of this dichotomy. The $\mathrm{B}_{1g}$ response is dominated by the $xy$ orbital and the $\mathrm{B}_{2g}$ response receives contributions from all orbitals and is strongly affected by interband nesting at finite frequencies.Comment: 7 pages, 4 figures. SM: 5 pages, 8 figure