This repository contains some code for the renormalisation of Fermi velocity and Dielectric Function of Graphene. We used the non-perturbative methods used in the paper by Bauer, Rückriegel, Sharma and Kopietz.

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├── bauer
├── coupled2
├── finite_temp2
├── pole
├── polecorr
├── zero_momentum
├── non_perturbative.pdf
└── README.md

The folder bauer contains the code for the exact equations stated in the paper cited above. In the coupled2 folder we have restricted also the bosonic momenta to lie in the shell to be integrated out. Finally, in the frequency folder we used the velocity calculated in earlier methods and introduced the frequency dependence to the dielectric function.

The pdf file contains the details of the calculations and the equations that are used in the codes.