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We introduce a minimum tight-binding model with only three parametersextracted from graphene and untwisted bilayer graphene. This model reproducesquantitatively the electronic structure of not only these two systems and bulkgraphite near the Fermi level, but also that of twisted bilayer grapheneincluding the value of the magic angle, at which bands at $E_F$ flatten withoutoverlap and two gaps open, one above and one below $E_F$. The Hamiltonian issufficiently transparent and flexible to be adopted to other twisted layeredsystems.

Minimum model for the electronic structure of twisted bilayer graphene and related structures