Abstract
To describe the behavior of a 2D electron near a graphene edge, one needs to know the boundary conditions for the effective (envelope) wave function, which obeys an equation of the Weyl–Dirac type. These conditions, which are deduced from general arguments, amount to a linear relation on the components of the spinor comprised of the envelope functions. In neglect of the intervalley interaction, the boundary conditions depend only on one real parameter, which contains a boundary of the general type. The spectrum of electronic edge states for the linear boundary is obtained.
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