I got stuck on Homework problem, where I need to construct Hamiltonian of 2D Graphene layer and obtain Dispersion graph from it.
I already went trough a lot of materials but all I find is $2\times 2$ Hamiltonian of one unit cell of graphene and in my problem I need to construct a arbitary $N$, $2N\times 2N$Hamiltonian.
So essence of my question is how should Hamiltonian of an arbitrary $N$ graphene atoms should look like. $t = -2.7$eV only for nearest neighbors.
I'm not sure what are appropriate phase factors in d) part.
Here is the problem: