Composite Fermion Pairing in Bilayer Quantum Hall Systems

Details Composite Fermion Pairing in Bilayer Quantum Hall Systems Composite Fermion Pairing in Bilayer Quantum Hall Systems

1998-01-07

arxiv.org/abs/cond-mat/9801040v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 2 figures

Scientific paper

10.1103/PhysRevB.59.7320

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.

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