Fig. 1: Emergent spin–spin interaction and ordering mediated by spin-phonon-photon coupling.
From: Unconventional magnetism mediated by spin-phonon-photon coupling
Top panel: Schematic depiction of the system. Localized spins, illustrated as red arrows, are coupled to local phonons, shown as springs. When we consider the phonons to be coupled with global photons (yellow shading) forming polaritonic modes, an exchange of virtual polaritons between the spins causes an effective spin–spin interaction resulting in an in-plane ordering of the spins. Bottom panel: Non-vanishing components of the spin–spin coupling tensor \({\tilde{\Lambda }}_{j,{j}^{{\prime} }}\) between the central nanoparticle located at rj and the one situated at \({{{{{{{{\bf{r}}}}}}}}}_{{j}^{{\prime} }}\) in a square array of spheres in the x-y plane.
