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June 17, 1991Physical Review Letters391 citations

Paired Hall state at half filling

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MGMartin GreiterXWXiao-Gang WenFWFrank Wilczek

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Abstract

The existence of a novel incompressible quantum liquid for spinless fermions at =1/2 in the Hall effect is suggested. This state is plausibly related by smooth extrapolation in quantum statistics to a strong p-wave pairing state of fermions in zero magnetic field, and reduces to a state previously proposed by Halperin in the (unrealistic) limit of tightly bound pairs. It supports unusual excitations, including neutral fermions and charge-e/4 anyons with statistical parameter =/8. Numerical experiments are presented, which provide evidence for several aspects of our theory.

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Cite This Study

Greiter et al. (1991) studied this question.

synapsesocial.com/papers/6a20715714cb6ef00ff486d7https://doi.org/10.1103/physrevlett.66.3205
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