AI 中文总结
研究通过掺杂SU(3)对称自旋液体实现6e电荷超导性，以双层三角晶格哈伯德模型为平台，用互补部分子构造分析相关自旋液体，发现不同掺杂方式可产生多种超导相等，揭示了对称性等因素协同产生6e电荷超导性的自然环境。
AI 中文摘要
我们提出掺杂SU(3)对称自旋液体作为实现6e电荷超导性的途径，这推广了从掺杂SU(4)对称相构建4e电荷超导性的想法。以双层三角晶格哈伯德模型为具体平台，用互补的部分子构造分析掺杂的Z₃量子自旋液体和与SU(3)相关的手征自旋液体。掺杂Z₃量子自旋液体可产生具有规范不变费米面的电荷为3e的费米子三重态的正交金属，配对这些三重态可得时间反演对称的6e电荷超导体。掺杂阿贝尔SU(3)₁和SU(6)₁手征自旋液体分别产生有和没有剩余阿贝尔拓扑序的手征6e电荷超导体。掺杂非阿贝尔SU(3)₂手征自旋液体导致与SO(3)₋₃拓扑序交织且支持非阿贝尔h/(6e)超导涡旋的非阿贝尔手征6e电荷超导体。还识别出其他几个相。结果表明掺杂SU(3)自旋液体是对称性、分数化和拓扑协同产生6e电荷超导性的自然环境。
英文摘要
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 $\mathbb{Z}_3$ quantum spin liquid and $SU(3)$-related chiral spin liquids. Doping a $\mathbb{Z}_3$ 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 $\mathbb{Z}_3$ orthogonal metal, quantum anomalous Hall (crystal) phases enriched by $\mathbb{Z}_3$ or $\mathbb{Z}_2$ 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.
Comments11.5 pages, 1 figure
