Quantum correction to black hole accretion

We describe quantum correction to the accreting hot plasma onto black holes. This quantum correction is related with the Hawking radiation, which heats the accreting plasma. The hot accreting gas is heated additionally by the quantum Hawking radiation. It is demonstrated that Hawking radiation prevails over the Compton scattering of hot electrons in the accreting flow onto the small enough evaporating black holes with masses $M<M_q\simeq 4.61\cdot {10}^{29}$ grams. In result, the evaporating black holes with masses $M<M_q$ reverse the inflowing plasma into outflowing one and stop the black hole accretion at all. The black holes with masses $M<M_q$ made contribute to the enigmatic dark matter at the galactic disks, galactic halos and even in the intergalactic space, if these black holes are primordial in origin.