Ground State of v=1 Bilayer Quantum Hall Systems

Abstract

The ground-state wave function and the energy gap are calculated for various layer separations d and for up to 24 electrons by the density matrix renormalization group (DMRG) method. Two-particle distribution function and excitonic correlation function are calculated from the ground-state wave function, and the evolution of the ground state with increasing d is analyzed. The results indicate that the transition is continuous. A smooth crossover of the ground state is found at around d/l ~ 1.6 from the excitonic character at small d/l to the independent Fermi-liquid character at large d/l, where l is the magnetic length.

4 pages, 5 figures, to appear in J. Phys. Soc. Jpn. Vol.75, No.4 (2006)

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• Composite fermion duality for half-filled multicomponent Landau Levels
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• Coupled charge and valley excitations in graphene quantum Hall ferromagnets
• Interlayer coherent composite Fermi liquid phase in quantum Hall bilayers
• The effect of electron dielectric response on the quantum capacitance of graphene in a strong magnetic field
• Precursors to Exciton Condensation in Quantum Hall Bilayers
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
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• Gauge Fluctuations and Interlayer Coherence in Bilayer Composite Fermion Metals
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
• Domain Formation in v=2/3 Fractional Quantum Hall Systems
• Paired states in half-filled Landau levels
• Clausius-Clapeyron Relations For First Order Phase Transitions In Bilayer Quantum Hall Systems
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Trial wavefunctions for the Goldstone mode in ν=1/2+1/2 quantum Hall bilayers
• Quantum Hall bilayer in dipole representation
• Single-parameter variational wavefunctions for quantum Hall bilayers
• Stability of the Excitonic Phase in Bilayer Quantum Hall Systems at Total Filling One -- Effects of Finite Well Width and Pseudopotentials --
• On dualities of paired quantum Hall bilayer states at ${\nu }_T=\frac{1}{2}+\frac{1}{2}$
• Topological entanglement entropy in bilayer quantum Hall systems