Exploring non-perturbative effects on quasi-topological black hole thermodynamics

We examine the impact of non-perturbative quantum corrections on the entropy of both charged and charged rotating quasi-topological black holes, focusing on their thermodynamic properties. The negative-valued correction to the entropy for small black holes is unphysical. Furthermore, we analyze the effect of these non-perturbative corrections on other thermodynamic quantities, including internal energy, Gibbs free energy, charge density, and mass density, for both black holes. Our findings indicate that the sign of the correction parameter plays a crucial role at small horizon radii. Additionally, we assess the stability and phase transitions of these black holes in the presence of non-perturbative corrections. Below the critical point, the corrected and uncorrected specific heat per unit volume is unstable. This instability leads to a first-order phase transition, wherein the specific heat transitions from negative to positive values as the system reaches a stable state.