Boundary conditions of the dirac fermions in graphene

Zagorodnev I.V.; Volkov V.A.

Boundary conditions of the dirac fermions in graphene

Zagorodnev I.V.¹, Volkov V.A.²

research article Pages: 485

¹ аспирант ИРЭ им. В.А. Котельникова РАН
² д. ф.-м. н., проф. ИРЭ им. В.А. Котельникова РАН

Keywords: graphene fermions

Abstract

Boundary conditions (ВСs) of the Dirac-like equation, that describes electron in graphene, are derived from general consideration. Without inter-valley interaction, BCs are described by one real parameter that characterizes general boundary. Using this BCs, we found the spectrum of the electron edge states for semi-infinite graphene plane with linear boundary.

How to cite

Загороднев И.В., Волков В.А. Граничные условия для дираковских фермионов в графене // Нелинейный мир. 2009. № 6. С. 485.

References

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[1] McCann E. and Fal'ko V.I. // J. Phys. Condens. Matter,.16, 2371, 2004.

[2] Berry M.V. and Mondragon R.J. // J. Proc. R. Soc. Lond. A., 53, 12, 1987.

[3] Brey and Fertig H.A. // Phys. Rev. B., 73, 235411, 2006.

[4] Nakada K., Fujita M., Dresselhaus G., Dresselhaus M.S. // Phys. Rev. B., 54, 17954, 1996

[5] Peres M., Guinea F., Castro Neto A.H. // Phys. Rev. B., 73, 125411, 2006.

[6] Akhmerov A.R. and Beenakker C.W.J. // Phys. Rev. B., 77, 085423, 2008.

Abstract

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