Color superconductors and holon metals from doping a Fractional Chern insulator

Key points

Using the parton construction c(r)=f1(r)f2(r)f3(r), the paper places the metallic and superconducting phases of a doped fractional Chern insulator within a unified framework.
Each color has three hole pockets across three valleys, so the charge minus e over 3 holons form nine pockets in total.
The SU(3) gauge field mediates pairing in the color-antisymmetric channel, allowing a gas of charge-e/3 anyons to enter a charge-2e superconducting state directly without an intermediate binding step.
If all nine pockets are weakly paired, c- becomes minus 3 over 2, which differs from the BCS expectation for an f-if superconductor, so an anyonic superconductor can break the usual relation between central charge and pair angular momentum.
Adding a particle-hole Higgs field yields two Z3 orthogonal metals with one or three pockets, and reducing valley symmetry to a triangular-lattice space group allows a three-pocket U(1)^2 holon metal that preserves C3.
In a chemical-potential-tuned FCI, a continuous transition to superconductivity is impossible in Z3 metals but possible in SU(3) or U(1)^2 holon metals, so the authors argue that the nine-fermion theory is a natural starting point.

External research summaries. These are not HDATF publications or measured product results.