Abstract
We consider the effect of interplane coupling J' on a pair of layers in the Kalmeyer-Laughlin model of anyon superconductivity. We show by exact diagonalization of an effective continuum model that this coupling has little effect on the chiral-spin-liquid ground state for small J'. For J' larger than twice the gap, one sees a transition away from the chiral spin liquid. We argue that the J' term should introduce short-range attractive interactions between holons in different layers. A model of anyons with such an interaction yields a phase diagram in qualitative agreement with what one expects when working directly with the spin system.
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