Hawking temperature and thermodynamics geometry of the 3D charged-dilaton black holes

In this Letter, we first investigate the Hawking temperature of the 3D charged-dilaton black holes by using the Generalized Uncertainty Principle. The results show that corresponding to the minimum radius of the event horizon, with the order of the Planck scale, there is a minimum mass or remnant for this type of black holes. Then, we study the thermodynamics geometry of the 3D charged-dilaton black holes. We find that the Weinhold geometry of the 3D charged-dilaton black holes is curved, whereas its Ruppeiner geometry is flat. Finally, we calculate the heat capacity of the black holes, and obtain the phase transition point.