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In the presence of external magnetic field the Fermi-liquid state supportsoscillatory spin modes known as Silin modes. We predict the existence of thegeneralized Silin modes in a multivalley system, monolayer graphene. A gauge-and Berry-gauge- invariant kinetic equation for a multivalley Fermi liquid isdeveloped and applied to the case of graphene with extrinsic spin-orbitcoupling (SOC). The interplay of SOC and Berry curvature allows for theexcitation of generalized Silin modes in the spin and valley-staggered-spinchannels via an AC electric field. The resonant contributions from these modesto the optical conductivity are calculated.

Spin-valley Silin modes in graphene with substrate-induced spin-orbit coupling