Monopole magnetohydrodynamics on a plane: Magnetosonic waves and dynamo instability

Magnetohydrodynamic (MHD) regimes in plasmas are often used to study large-scale astrophysical flows. Here, the authors have shown how an emergent MHD of magnetic monopoles can be used to study linear and nonlinear problems in two-dimensional spin liquids. The authors have demonstrated the presence of an isotropic phase velocity of linear waves and a compressibility induced dynamo-like effect in the emergent MHD regime. It is expected that future experiments and microscopic simulations will unveil this regime.