2026/07/28 by Yan-Qi Wang, Boran Zhou, Hui Yang +1
#cond-mat.str-el #cond-mat.mes-hall #cond-mat.supr-con
We propose doping SU(3)-symmetric spin liquids as a route toward charge-6e superconductivity. This generalizes the idea of constructing charge-4e superconductivity from doped SU(4)-symmetric phases. As a concrete platform, we study a bilayer triangular-lattice Hubbard model with SU(3) spin symmetry and interlayer antiferromagnetic exchange. Using complementary parton constructions, we analyze doped ℤ3 quantum spin liquid and SU(3)-related chiral spin liquids. Doping a ℤ3 quantum spin liquid can produce an orthogonal metal with a gauge invariant fermi surface of charge-3e fermionic trions. Pairing these trions gives a time-reversal-symmetric charge-6e superconductor. Doping Abelian SU(3)1 and SU(6)1 chiral spin liquids yields chiral charge-6e superconductors with and without residual Abelian topological order, respectively. Doping a non-Abelian SU(3)2 chiral spin liquid leads to a non-Abelian chiral charge-6e superconductor intertwined with SO(3)-3 topological order and supporting non-Abelian h/(6e) superconducting vortices. We also identify several other phases, including ℤ3 orthogonal metal, quantum anomalous Hall (crystal) phases enriched by ℤ3 or ℤ2 topological order, SU(3)-breaking charge-2e superconductors, composite fermi liquid coupled to non-Abelian gauge field, and descendant chiral spin liquids. Our results identify doped SU(3) spin liquids as a natural setting where symmetry, fractionalization, and topology cooperate to produce charge-6e superconductivity.