• Corpus ID: 235293953

$s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu=1$

@inproceedings{Wagner2021swavePC,
  title={\$s\$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with \$\nu=1\$},
  author={Glenn Wagner and D. X. Nguyen and Steven H. Simon and Bertrand I. Halperin},
  year={2021}
}
We introduce a new variational wavefunction for a quantum Hall bilayer at total filling ν = 1, which is based on s-wave BCS pairing between composite-fermion electrons in one layer and composite-fermion holes in the other. We compute the overlap of the optimized trial function with the ground state from exact diagonalization calculations of up to 14 electrons in a spherical geometry, and we find excellent agreement over the entire range of values of the ratio between the layer separation and… 

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