Insight into the microscopic structure of a quintessential black hole from the quantization concept

In this work, based on [D.-Q. Sun, J.-B. Deng, P. Li and X.-R. Hu, Class. Quantum Grav. 37, 015008 (2020)], we examine the effect of the quintessence field on the microscopic structure of a charged anti-de Sitter (AdS) black hole from the quantization perspective. Indeed, the impact of the state parameter and the quintessence intensity on "energy quantum" is illustrated. Furthermore, we extend the relationship between the number of quanta of the area and the microscopic degrees of freedom of the black hole to the quintessential background. We express the latent heat in terms of the number of quanta of the area of the large black hole (LBH) and the number of quanta of the area of the small black hole (SBH). Besides that, we explore the connection between the microscopic structure and Ruppeiner geothermodynamics in the (mass, pressure)-plane through the number of quanta of area perspective and the quintessence parameters. Finally, we interpret our result in terms of repulsive/attractive interactions amongst the black hole constituents.