Paired Hall state at half filling

Martin Greiter, Xiao-Gang Wen, and Frank Wilczek
Phys. Rev. Lett. 66, 3205 – Published 17 June 1991
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Abstract

The existence of a novel incompressible quantum liquid for spinless fermions at ν=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 θ=π/8. Numerical experiments are presented, which provide evidence for several aspects of our theory.

  • Received 4 April 1991

DOI:https://doi.org/10.1103/PhysRevLett.66.3205

©1991 American Physical Society

Authors & Affiliations

Martin Greiter, Xiao-Gang Wen, and Frank Wilczek

  • School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540

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Issue

Vol. 66, Iss. 24 — 17 June 1991

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