  We investigate the radiation of energy and angular momentum from 2D
topological systems with broken inversion symmetry and time reversal symmetry.
A general theory of far-field radiation is developed using the linear response
of 2D materials to the fluctuational electromagnetic field. Applying the theory
to the Haldane model, we verify that the heat radiation complies with Planck's
law only at low temperature and deviates from it as temperature becomes high.
Angular momentum radiation is possible for this system and exhibits saturation
as temperature increases. Parameters crucial to the radiation are investigated
and optimized. This research enlightens the possibility of transposing the
quantum information to the angular momentum degree of freedom.
