Phase Diagram of the Lowest Landau Level in Bilayer Graphene(Shoichi Sakata Centennial Symposium)
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概要
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Broken-symmetry quantum Hall (QH) states with filling factors ν=0, +1, ±2, ±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 ν=0, extends to the ν=±1 QH states. The amplitudes of the gaps in the ν=±1, ±3, and ν=±2 QH states are significantly smaller than the amplitude of the ν=0 gap, due to the separate filling of the n=0 and n=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.
- 2012-11-07
著者
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Miransky V.
Department Of Applied Mathematics University Of Western Ontario:yukawa Institute For Theoretical Phy
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JIA Junji
Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University
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GORBAR E.
Department of Physics, Taras Shevchenko National Kiev University
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GUSYNIN V.
Bogolyubov Institute for Theoretical Physics
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GORBAR E.
Department of Physics, Taras Shevchenko National Kiev University:Bogolyubov Institute for Theoretical Physics
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- Phase Diagram of the Lowest Landau Level in Bilayer Graphene(Shoichi Sakata Centennial Symposium)