https://doi.org/10.1140/epjp/s13360-025-06163-w
Regular Article
Thermodynamic analysis of charged black hole with quantum corrections in deformed Jackiw–Teitelboim gravity: stability and phase transitions in the light of T-S criticality through entropy corrections
1
Department of Mathematics, The University of Burdwan, Golapbag Academic Complex, 713104, Purba Bardhaman, West Bengal, India
2
Department of Physics, Jadavpur University, 700032, Kolkata, West Bengal, India
a
mayukhbandyopadhyay@yahoo.com
Received:
14
November
2024
Accepted:
19
February
2025
Published online:
14
March
2025
The current work is focused on the investigation of the thermal stability and phase transitions of the charged black holes due to the quantum corrections of thermodynamic parameters under the deformed 2D dilaton gravity. Thermodynamic behavior of the charged black hole parameters under quantum corrections also has been observed. Black hole solutions for such a spacetime have been derived to represent the black hole mass as a function of the radius of the event horizon. At the same time, logarithmic corrections of the black hole entropy also have been incorporated. This newly obtained entropy again modifies the radius of the event horizon as well. This also exhibits a crucial impact on the black hole temperature as the temperature shows a quick change during the phase transitions with this modification. In addition, different temperature-entropy 
criticalities are studied. Possibilities of different types of phase transitions are also speculated through the study of the specific heat. Further, some arguments on the geometrical thermodynamic behavior for the proposed system are made regarding the bound, stability and phase transitions. Significantly, the region of divergence of the black holes for the corresponding Ricci has been found and explored. Again, the study of Gibbs free energy gives different important cuspidal nodes. The physical significance of these cusps is also discussed. We have achieved an explicit scenario of the thermal stability and phase evolution of the charged black holes under quantum corrections under the deformed 2D dilaton gravity.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
