Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-08-02
Phys. Rev. B 84, 235449 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 7 figures, references and clarifications added; v3: to match PRB version
Scientific paper
10.1103/PhysRevB.84.235449
Broken-symmetry quantum Hall (QH) states with filling factors \nu=0, \pm 1, \pm 2, \pm 3 in the lowest Landau level in bilayer graphene are analyzed by solving the gap equation in the random phase approximation. It is shown that in the plane of electric and magnetic fields, the critical line, which separates the spin and layer polarized phases at \nu=0, extends to the \nu=\pm 1 QH states. The amplitudes of the gaps in the \nu= \pm 1, \pm 3, and \nu= \pm 2 QH states are significantly smaller than the amplitude of the \nu=0 gap, due to the separate filling of the n=0,1 orbital Landau levels and the negative contribution of the Hartree term, respectively. It is shown that those values of the external electric field where the conductance is not quantized correspond to the minima of the gaps.
Gorbar Eduard V.
Gusynin Valery P.
Jia Junji
Miransky V. A.
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