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We show that the assumption of a nontrivial zero band gap for a graphenesheet within an effective relativistic field theoretical model description ofinteracting Dirac electrons on the surface of graphene describes theexperimental band gap of graphene nanoribbons for a wide range of widths. Thegraphene band gap is dynamically generated, corresponding to a nontrivialgapless solution, found in the limit of an infinitely wide graphene ribbon. Thenanoribbon band gap is determined by the experimental graphene work function.

Dynamical gap generation in graphene nanoribbons: An effective relativistic field theoretical model