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Title:
s-wave paired composite-fermion-electron composite-fermion-hole trial state for quantum Hall bilayers with \nu=1
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Abstract:
We show that the \nu=1 quantum Hall bilayer, at large and intermediate distances between the layers, can be well described by s-wave BCS pairing of composite fermions of electrons in one layer and composite fermions of holes in the opposite layer. Our trial wavefunctions numerically improve over prior approaches, naturally allow for charge imbalance between the layers, and give important insight into how the physics at large interlayer separation crosses over to the physics at small interlayer separation in a fashion analogous to the BEC-BCS crossover.
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