Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-03-28
Phys. Rev. B 73, 241403 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 6 figures
Scientific paper
10.1103/PhysRevB.73.241403
We study the problem of Dirac fermion confinement in graphene in the presence of a perpendicular magnetic field B. We show, analytically and numerically, that confinement leads to anomalies in the electronic spectrum and to a magnetic field dependent crossover from \sqrt{B}, characteristic of Dirac-Landau level behavior, to linear in B behavior, characteristic of confinement. This crossover occurs when the radius of the Landau level becomes of the order of the width of the system. As a result, we show that the Shubnikov-de Haas oscillations also change as a function of field, and lead to a singular Landau plot. We show that our theory is in excellent agreement with the experimental data.
Castro Neto Antonio H.
Guinea Francisco
Peres Nuno. M. R.
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