We explore the entropy spectrum of $(1+1)$ dimensional dilatonic stringy black holes via the adiabatic invariant integral method known as Jiang and Han’s method (Phys Lett B 718:584, 2012) and the Bohr–Sommerfeld quantization rule. It is found that the corresponding spectrum depends on black hole parameters like charge, ADM mass, and, more interestingly, on the dilatonic field. We calculate the entropy of the present black hole system via the Euclidean treatment of quantum gravity and study the thermodynamics of the black hole and find that the system does not undergo any phase transition.
., J. S., & et al. (2015). Entropy spectrum of (1+1) dimensional stringy black holes. European Physical Journal C, 75. https://doi.org/10.1140/epjc/s10052-015-3444-3 (Original work published 2015)