Thermodynamics of the (2+1)-dimensional Black Hole with non linear   Electrodynamics and without Cosmological Constant from the Generalized   Uncertainly Principle
  In this paper, we study the thermodynamical properties of the (2+1)dimensional black hole with a non-linear electrodynamics and without cosmological constant using the Generalized Uncertainty Principle (GUP). This approach shows that there is a maximum temperature for the black hole depending only on the electric charge and corresponding to the minimum radius of the event horizon, of the order of the Planck scale. Finally we show that the heat capacity for this black hole has the expected behavior. 
Alexis Larranaga