Graphene Hamiltonian

  • Thread starter hokhani
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As far as I know, the Hamiltonian of graphene in the Bloch's sums [itex]|A\rangle[/itex] and [itex]|B\rangle[/itex] near the points K or K' is a [itex]2 \times 2[/itex] matrix with the components: [itex]\langle A|H|A\rangle[/itex], [itex]\langle A|H|B\rangle[/itex], [itex]\langle B|H|A\rangle[/itex],[itex]\langle B|H|B\rangle[/itex] which all are parameters (and not variables). But in the Eq.(1) in PHYSICAL REVIEW B 81, 205444 (2010) (http://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.205444) these components are functions and operators in terms of (x,y). Could anyone please tell me how to obtain this formula?
 

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