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Axial, or circularly polarized phonons can greatly affect the properties of a material. Thus, electron-phonon coupling between phonon angular momentum and electron orbital angular momentum leads to the splitting of electron energy levels corresponding to large effective magnetic fields [1]. Therefore, it is also interesting to investigate the effects of the coupling between phonon angular momentum and electron spin. In order to do this, we use the Hubbard model to study strongly correlated electrons systems with an additional term representing the phonon angular momentum-electron spin coupling. Specifically, we explore the influence of this coupling on conductivity and connect it to the strange metal phase.
[1] N. Shabala and R. M. Geilhufe. "Phonon inverse Faraday effect from electron-phonon coupling." PRL 133.26 (2024): 266702.