• 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}
}
• Published 1 June 2021
• Physics
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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Note that the phases of the Jastrow factors (zi − zj) 2 (wi − wj) * 2 cancel in the tightly bound limit where the CFs and anti-CFs are at the same position