Isfahan University of Technology, The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 20 2 2020 08 22 Density-wave instability and impurity screening in graphene based double-layer structures/ RETRACTED ARTICLE Density-wave instability and impurity screening in graphene based double-layer structures/ RETRACTED ARTICLE 311 321 1619 FA S Rastegar 1. Department of Physics, Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran 0000-0002-1331-3490 S Abedinpour Harzand 2. Department of Physics, Institute for Advanced Studies in Basic Sciences, GavaZang, Zanjan, Iran Journal Article 2020 01 12 <strong>(RETRACT ARTICLE )</strong> <br />In this study, we investigate the density-wave instability and impurity screening in graphene-based double-layer structures. We assume that at least one of two layers is graphene, while the second layer could be made of graphene, conventional two-dimensional electron gas, or any other two-dimensional structure. We calculate the static dielectric function of this graphene-based double-layer structure whitin the random phase approximation, and look for the possibility of density-wave instability, changing different system parameters like the electronic density and layer spacing between two layers. In this investigation we have not seen any instability in double-layer structures consisting of coupled layers of graphene, the 2D electron gas and the gapped graphene. Finally, using static dielectric function and considering a charged impurity placed in the first layer, we show that how this impurity is screened in the first and second layers. <strong>(RETRACT ARTICLE )</strong> <br />In this study, we investigate the density-wave instability and impurity screening in graphene-based double-layer structures. We assume that at least one of two layers is graphene, while the second layer could be made of graphene, conventional two-dimensional electron gas, or any other two-dimensional structure. We calculate the static dielectric function of this graphene-based double-layer structure whitin the random phase approximation, and look for the possibility of density-wave instability, changing different system parameters like the electronic density and layer spacing between two layers. In this investigation we have not seen any instability in double-layer structures consisting of coupled layers of graphene, the 2D electron gas and the gapped graphene. Finally, using static dielectric function and considering a charged impurity placed in the first layer, we show that how this impurity is screened in the first and second layers. graphene double-layer structures dielectric function random phase approximation density-wave instability screening https://ijpr.iut.ac.ir/article_1619_3eabc2bb6dff1110969631927b6c504b.pdf