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At filling factor $\nu=0,\pm1$, the ground state of graphene is a particularSU(4) ferromagnet which hosts a rich phase diagram along with several spin,pseudospin or "entanglement" magnon modes. Motivated by recent experiments, westudy a $\nu=-1|0|-1$ Fabry-P\'erot magnonic junction. If the ground state at$\nu=0$ is spin polarized, there exist two spin modes which interfere andcreate a beating pattern, while pseudospin modes are reflected. The samescenario occurs for pseudospin magnon if the $\nu=0$ ground state is pseudospinpolarized. The observation of such an interference pattern would provideinformation on the low-energy anisotropies and thus on the ground state.

Beating Fabry-P\'erot interference pattern in a magnonic scattering junction in the graphene quantum Hall ferromagnet