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Holons in Chiral Spin-Liquids: Statistics and Pairing

We study Gutzwiller-projected variational wavefunctions for charged, spinless holon excitations in chiral spin liquids. We find that these states describe anyons, with a statistical phase $Φ_s$ that is continuously adjustable between $0$ and $π/2$, depending on a variational parameter. The statistical flux attached to each holon is localized to within a lattice constant. By diagonalizing the effective Hamiltonian for charge motion in our variational basis we obtain a two-holon pair state. This two-holon state has large overlap with a two-hole state whose relative wavefunction has $d$-wave symmetry and breaks time-reversal and parity.