in this paper energy bands and berry curvature of graphene was studied. desired hamiltonian regarding the next-nearest neighbors obtained by tight binding model. by using the second quantization approach, the transformation matrix is calculated and the hamiltonian of system is diagonalized. with this hamiltonian, the band structure and wave function can be calculated. by using calculated wave f...

A bstract We outline a procedure for applying Hamiltonian Truncation to Quantum Field Theories (QFTs) that have UV divergences. To do this, we derive novel representation of an Effective which makes manifest some its important properties (e.g. the non-perturbative matching spectra between theory and described by Hamiltonian). check consistency our using Conformal Perturbation Theory. Finally co...