It Is A Solid State Physics Question Calculate The Van Hove Singularities In Gra

it is a solid state physics question.calculate the Van Hove singularities in graphene and a square lattice in detail. I am attachted a example article about van Hove singularities how can I find singularities in graphene(hexzagon) and a square lattice? and how can I verify that the found singularities verify Morse potential? please if you have any idea about how can I calculate write me whatever you think.

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