Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-07-26
Phys. Rev. B 82, 205408 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 13 figures. Added to v.2: Appendix A, Fig. 13, Refs. [18-23]. V.3: minor stylistic corrections from the published ve
Scientific paper
10.1103/PhysRevB.82.205408
We study the orbital effect of a strong magnetic field parallel to the layers on the energy spectrum of the Bernal-stacked graphene bilayer and multilayers, including graphite. We consider the minimal model with the electron tunneling between the nearest sites in the plane and out of the plane. Using the semiclassical analytical approximation and exact numerical diagonalization, we find that the energy spectrum consists of two domains. In the low- and high-energy domains, the semiclassical electron orbits are closed and open, so the spectra are discrete and continuous, correspondingly. The discrete energy levels are the analogs of the Landau levels for the parallel magnetic field. They can be detected experimentally using electron tunneling and optical spectroscopy. In both domains, the electron wave functions are localized on a finite number of graphene layers, so the results can be applied to graphene multilayers of a finite thickness.
Pershoguba Sergey S.
Yakovenko Victor M.
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