Посилання:Effect of next-to-nearest neighbor hopping on electronic properties of graphene / Y.F. Suprunenko, E.V. Gorbar, S.G. Sharapov, V.M. Loktev // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1033-1039. — Бібліогр.: 21 назв. — англ.
Підтримка:The authors are grateful to V.P. Gusynin for stimulating
discussions. The work of E.V.G. was supported by the
SCOPES project IB 7320-110848 of the Swiss NSF, the
grant 10/07-N «Nanostructure systems, nanomaterials,
nanotechnologies», the Program of Fundamental Research
of the Physics and Astronomy Division of the National
Academy of Sciences of Ukraine, and by the State
Foundation for Fundamental Research of Ukraine (grant
F16-457-2007).
In the tight-binding approximation, we take into account the next-to-nearest neighbor hopping in
graphene that leads to nonrelativistic-like corrections in its low energy spectrum. The electronic density of
states in a magnetic field is found and the fan diagram is plotted, which interpolates between those for the
relativistic and nonrelativistic limiting cases. It is shown that the Berry phase for the system under consideration
coincides exactly with its value for the relativistic system.