Low Temperature Physics: 35, 2 (2009); https://doi.org/10.1063/1.3064694 (4 pages)
Fizika Nizkikh Temperatur: Volume 35, Number 1 (January 2009), p. 5-9    ( to contents , go back )

Electrons near graphene edge

V.A. Volkov and I.V. Zagorodnev

Institute Radio Engineerings and Electronics of the Russian Academy of Science, Moscow, 125009, Russia
E-mail: VoVA@cplire.ru
pos Анотація:

Received Jule 29, 2008

Abstract

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.

Key words: graphene, edge states, Dirac equation, Weil equation, boundary conditions, envelope function.

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