ArXiv · 2026
Can a Laughlin anyon fluid become a topological superconductor? We answer this question for a ν=1/3 fractional Chern insulator (FCI) using a U(3) infrared parton theory. Three charge-e/3 constituents form the electron, while three constituent pairs form a gauge-invariant charge-2e Cooper pair. The resulting superconductors share an ordinary charge-2e sector but differ in their neutral color response, giving an SC^∗ with the parent Laughlin U(1)₃ order, a chiral topological superconductor with c₋=3/2, and a strong-pairing molecular superconductor with c₋=3. The same framework organizes a nearby σ_xy=0 charge density wave (CDW) state. At commensurate filling, the normal state and the c₋=3 and c₋=3/2 superconducting descendants are naturally tied to a period-three density order background, while the SC^∗ branch can preserve microscopic translations. Away from commensuration, a chargon metal can pair into the same c₋=3/2 topological superconductor. The FCI, reentrant CDW, and chiral superconductivity are unified in the U(3) parton theory.
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