Institute Radio Engineerings and Electronics of the Russian Academy of Science, Moscow, 125009, Russia
Received Jule 29, 2008
To describe the behavior of a 2D-electron near the edge of graphene, needs a knowledge of boundary conditions for the effective wave function (envelope function) obeying the Weyl–Dirac equation. These general boundary conditions present a linear connection rule for spinor’s components composed of envelope wave functions. Neglecting the intervalley interaction, the boundary conditions depend on only a single real parameter, that characterizes the edge of a general type. Electron spectra of edge states for the linear edge were obtained.
PACS: 73.20.–r Electron states at surfaces and interfaces; PACS: 72.80.Rj Fullerenes and related materials; PACS: 68.47.Fg Semiconductor surfaces.