  In the present Letter we investigate the heat and momentum fluxes radiated by
a hot magneto-optical nanoparticle in its surrounding under the action of an
external magnetic field. We show that the flux lines circulate in a confined
region at nanometric distance from the particle around the axis of magnetic
field in a vortex-like configuration. Moreover we prove that the spatial
orientation of these vortices (clockwise or counterclockwise) is associated to
the contribution of optical resonances with topological charges m = +1 or m =
-1 to the thermal emission. This work paves the way to a geometric description
of heat and momentum transport in lattices of magneto-optical particles.
Moreover it could have important applications in the field of energy storage as
well as in thermal management at nanoscale.
