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Composite Fermion Pairing in Bilayer Quantum Hall Systems

Takao Morinari
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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 $ν=1/m$, where $m$ is an integer. We find that the ground state is the triplet p-wave BCS pairing state of the composite fermions. At $ν=1/2$, 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 $ν=1$, the pairing state is uniquely determined independent of tunneling amplitude.

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Takao Morinari. 1998-01-07. Composite Fermion Pairing in Bilayer Quantum Hall Systems. https://doi.org/10.1103/physrevb.59.7320

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