Ground-State Structure in $\nu =2$ Bilayer Quantum Hall Systems

Abstract

We investigate the ground-state structure of the bilayer quantum Hall system at the filling factor $\nu =2$. Making an exact analysis of the ground state in the SU(4)-invariant limit, we include all other interactions as small perturbation. We carry out analytic calculations and construct phase diagrams for nonzero values of the Zeeman, tunneling and bias interactions. In particular we examine carefully how the phase transition occurs by applying the bias voltage and inducing a density imbalance between the two layers. We compare our theoretical result with the experimental data due to Sawada et al. based on the phase diagram in the ${\sigma }_0$-${\rho }_0$ plane, where ${\rho }_0$ and ${\sigma }_0$ are the total electron density and the density difference between the two layers, respectively.

arXiv comment15 pages, 9 figures, to be published in PRB

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Cited by in corpus (16)

• Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• Edge structure of graphene monolayers in the ν = 0 quantum Hall state
• Spin-valley entangled quantum Hall states in graphene
• Hilbert space and ground state structure of bilayer quantum Hall systems at $\nu =2/\lambda$
• Coherent states on the Grassmannian $U(4)/U(2{)}^2$: Oscillator realization and bilayer fractional quantum Hall systems
• Microscopic Theory of Skyrmions in Quantum Hall Ferromagnets
• Anomalous Hall Resistance in Bilayer Quantum Hall Systems
• Husimi function and phase-space analysis of bilayer quantum Hall systems at $\nu =2/\lambda$
• The Study of Goldstone Modes in $\nu$=2 Bilayer Quantum Hall Systems
• Hilbert space structure of the low energy sector of U(N) quantum Hall ferromagnets and their classical limit
• Interlayer coherence and entanglement in bilayer quantum Hall states at filling factor $\nu =2/\lambda$
• Spin Supercurrent in the Canted Antiferromagnetic Phase
• Dicke Model for Quantum Hall Systems
• Nambu-Goldstone modes and the Josephson supercurrent in the bilayer quantum Hall system
• Lieb-Mattis ordering theorem of electronic energy levels in the thermodynamic limit