Electron-phonon coupling in graphene

The aim of this Master thesis was to perform a theoretical study of the electron-phonon coupling in graphene. The main results of the thesis are the electron-phonon coupling constant as a function of the Fermi energy, a derivation of the phonon dispersion and a calculation of the band struc- ture. It is shown that the electron-phonon coupling constant is correlated with the density of states, which makes it highly dependent on the electron bands. The calculated band structure is in good agreement with literature. For the phonon dispersion, the quantitative shape matches known results, but lacks some of the details. Despite the lack of details in the dispersion, it is considered sufficient for calculating the electron-phonon coupling, as the coupling is mostly determined by the band structure