Fractional charges and quantum phase transitions in imbalanced bilayer quantum Hall systems

Abstract

We extend the Composite Boson theory to study slightly im-balanced bi-layer Quantum Hall systems. In the global $U(1)$ symmetry breaking excitonic superfluid side, as the imbalance increases, the system supports continuously changing fractional charges. In the translational symmetry breaking pseudo-spin density wave (PSDW) side, there are two quantum phase transitions from the commensurate PSDW to an in-commensurate PSDW and then to the excitonic superfluid state. We compare our theory with experimental data and also the previous microscopic calculations.

4+ pages, 2 figures. 1 table, Final version to appear in Phys. Rev. Lett

References in corpus (4)

• Vanishing Hall Resistance at High Magnetic Field in a Double Layer Two-Dimensional Electron System
• Putting competing orders in their place near the Mott transition
• Onset of Interlayer Phase Coherence in a Bilayer Two-Dimensional Electron System: Effect of Layer Density Imbalance
• Investigation of trial wavefunction approach to bilayer Quantum Hall systems

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• Duality, Magnetic space group and their applications to quantum phases and phase transitions on bipartite lattices in several experimental systems
• Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
• Optical Bragg, atom Bragg and cavity QED detections of quantum phases and excitation spectra of ultracold atoms in bipartite and frustrated optical lattices
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• Single-parameter variational wavefunctions for quantum Hall bilayers
• Itinerant magnetism in Weyl spin-orbit coupled Fermi gas
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