Composite Fermion Pairing in Bilayer Quantum Hall Systems

Abstract

We derive the effective Hamiltonian for the composite fermion in double-layer quantum Hall systems with inter-layer tunneling at total Landau-level filling factor $\nu =1/m$, where $m$ is an integer. We find that the ground state is the triplet p-wave BCS pairing state of the composite fermions. At $\nu =1/2$, the ground state of the system evolves from the Halperin $(3,3,1)$-state toward the Pfaffian-state with increasing the tunneling amplitude. On the other hand, at $\nu =1$, the pairing state is uniquely determined independent of tunneling amplitude.

13 pages, 2 figures

References in corpus (1)

• Generalised Chern-Simons Theory of Composite Fermions in Bilayer Hall Systems

Cited by in corpus (16)

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• Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
• Quasiparticles in the 111 state and its compressible ancestors
• Interaction and coherence in 2D bilayers
• Metamorphosis of a Quantum Hall Bilayer State into a Composite Fermion Metal
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Pairing of Composite-Electrons and Composite-Holes in ${\nu }_T=1$ Quantum Hall Bilayers
• On ground states of interacting Composite Fermions with spin at half filling
• Quantum Hall bilayer in dipole representation
• Single-parameter variational wavefunctions for quantum Hall bilayers
• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$
• Bilayers and quasi-3D stacks of Jain series fractional quantum Hall states from parton construction
• On dualities of paired quantum Hall bilayer states at ${\nu }_T=\frac{1}{2}+\frac{1}{2}$
• Tunneling effect on composite fermion pairing state in bilayer quantum Hall system