Electronic Cooling in Graphene

Energy transfer to acoustic phonons is the dominant low-temperature cooling channel of electrons in a crystal. For cold neutral graphene we find that the weak cooling power of its acoustic modes relative to their heat capacity leads to a power-law decay of the electronic temperature when far from equilibrium. For heavily doped graphene a high electronic temperature is shown to initially decrease linearly with time at a rate proportional to n(3/2) with n being the electronic density. The temperature at which cooling via optical phonon emission begins to dominate depends on graphene carrier density.