Mazher, Javed(Prof)Gebreamlak, Gebrekirstos2022-04-012023-11-182022-04-012023-11-182013-06http://etd.aau.edu.et/handle/12345678/31065We performed ab-initio calculations on a novel class of superconductors, which comprise of alkali doped graphene. The graphene is doped wit h the potassium and rubidium atoms. We theoretically studied lattice dynamics by performing density functional perturbation t heory based simulations for studying doping effects on graphene's phonon modes. Spectra of electronic and phonon density of states are compared in between undoped and K and Rb doped graphene. Besides, the study of electron-phonon int eractions is also performed and the signifi cant amount of electron-phonon coupling is found to be present among the K and Rb doped graphene. That is attributed as one of the reasons for as-found induced superconductivity at certain crystal symmetry points of interest in Brillouin zone of this material, specifically, at the (r and K) points. The higher values of electronphonon coupli ngs of 0.3679 and 0.1907 correspondingly for the potassium and rubidium doped graphene are found to be responsible for the superconductivity. Nevertheless, during our calculations the el-ph coupling strengths for pristine graphene is always found to be zero at various special points. In addi tion , the prospects of the phenomena of su perconducti vi ty amongst the alkali doped graphene are discussed in detail.enInvest Ligations of ElectronicInvest Ligations of Electronic and Phonon Mediated Superconductivity of (Rb, K) Doped GrapheneThesis