Damghan University PressIranian Journal of Astronomy and Astrophysics2322-49246120190401The braneworld stability and large-scale correction in graphene like backgroundپایداری جهان شامه و اصلاح مقیاس بزرگ در پس زمینه گرافن گونه455216110.22128/ijaa.2019.335.1051ENZahra ZaliDepartment of Physics, Islamic Azad University, Ayatollah Amoli BranchJafar SadeghiDepartment of Physics, University of MazandaranBehnam PourhassanSchool of Physics, University of Damghan, Damghan, Iran0000-0003-1338-7083Journal Article20191024In this work, we consider a graphene-like background in braneworld scenario which is one of the interesting models in cosmology and theoretical physics. Indeed, this paper is an application of holography in condense matter. We use the geometric form of potential which help to obtain field equations and solve it to obtain the energy spectrum. In that case we calculate superpotential and energy density of this model. Thermodynamical study of this model suggest that the entropy should modified due to the large-scale corrections. An important point is stability of this model in braneworld scenario. We study model stability by two separated methods. We calculate heat capacity, Gibbs and Helmholtz free energy to analyze thermodynamics stability, then consider small perturbations in graphene like metric background to investigate gravitational stability. We find that the model is completely stable unless in very low temperatures where the graphene structure may break. Hence, we confirm that our braneworld model is thermodynamically stable and also small perturbations yields to an oscillation around the equilibrium point.https://ijaa.du.ac.ir/article_161_c007483ab819d8239d4e44a9118b8656.pdf