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A quantum vortex liquid theory for composite Fermi liquid (CFL) states in the lowest Landau level is proposed. Contrary to the traditional Halperin-Lee-Read approach, the composite fermions in this formulation are vortices carrying no physical charge. Furthermore, a Berry phase ₁=-20{0ex} is enclosed by the composite Fermi surface, where is the total filling fraction. This vortex liquid theory is closely related to Read's formulation of bosonic CFL at =1 in the 1990's, and to Son's recent formulation of the half-filled Landau level in terms of Dirac composite fermions. Various consequences of this new picture are studied, including some nontrivial predictions for transport properties, and an emergent particle-hole symmetry for bosons at =1.
Wang et al. (Mon,) studied this question.