  The magic angle twisted bilayer systems give rise to many exotic phenomena in
two-dimensional electronic or photonic platforms. Here, we study the twisted
near-field energy radiation between graphene metasurfaces with nonequilibrium
drifted Dirac electrons. Anomalously, we find unconventional radiative flux
that directs heat from cold to hot. This far-from-equilibrium phenomenon leads
to a heating-cooling transition beyond a thermal magic twist angle, facilitated
by twist-induced photonic topological transitions. The underlying mechanism is
related to the spectrum match and mismatch caused by the cooperation between
the non-reciprocal nature of drifted plasmon polaritons and their topological
features. Furthermore, we report the unintuitive distance dependence of
radiative energy flux under large twist angles. The near-field radiation
becomes thermal insulating when increasing to a critical distance, and
subsequently reverses the radiative flux to increase the cooling power as the
distance increases further. Our results indicate the promising future of
nonequilibrium drifted and twisted devices and pave the way towards tunable
radiative thermal management.
