Fractional Quantum Hall Effects in Graphene and Its Bilayer
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概要
- 論文の詳細を見る
Single-layer and bilayer graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes are investigated on torus and spherical geometries using the density matrix renormalization group (DMRG) method. At nonzero Landau level indices, the ground states at the effective filling factors 1, 1/3, 2/3, and 2/5 are valley polarized both in single-layer and bilayer graphene. We examine the elementary charge excitations that could couple with the valley degrees of freedom (so-called valley skyrmions). The excitation gaps are calculated and extrapolated to the thermodynamic limit. The largest excitation gap at the effective filling 1/3 is obtained in bilayer graphene, which is a good candidate for the experimental observation of the fractional quantum Hall effect.
- Physical Society of Japanの論文
- 2009-10-15
著者
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Nomura Kentaro
Department Of Basic Science University Of Tokyo
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Shibata Naokazu
Department Of Basic Science University Of Tokyo
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Shibata Naokazu
Department of Physics, Tohoku University, Aoba, Aoba-ku, Sendai 980-8578
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Nomura Kentaro
Department of Physics, Tohoku University, Aoba, Aoba-ku, Sendai 980-8578
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- Pairing Symmetry Transitions in the Even-Denominator FQHE System
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- Spin–Orbit Interaction Enhanced Fractional Quantum Hall States in the Second Landau Level
- Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State
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- Stability of the Excitonic Phase in Bilayer Quantum Hall Systems at Total Filling One —Effects of Finite Well Width and Pseudopotentials—
- Thermodynamic Properties of the S=1/2 Heisenberg Chain with Staggered Dzyaloshinsky–Moriya Interaction
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- The Edge State Network Model and the Global Phase Diagram
- Strong Quasi-Particle Tunneling Study in the Paired Quantum Hall States
- Pairing Symmetry Transitions in the Even-Denominator FQHE System