任意子超导中的色荷
Coloring in anyon superconductivity
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中文总结 AI 辅助
研究扭曲MoTe₂双层中任意子超导相关问题，通过电荷 - e/3“夸克”费米面与SU(3)₋₁规范场耦合的竞争不稳定性实现多种任意子驱动相，统一多种任意子相，归结其出现为超导与巡游色铁磁体竞争。
中文摘要 AI 辅助
最近在扭曲的MoTe₂双层中观察到的接近分数量子反常霍尔（FQAH）态的超导特征，重新激发了人们对任意子动力学诱导的量子相的兴趣。本文展示了与掺杂晶格ν = 2/3 FQAH态相关的一系列任意子驱动相，如何通过与SU(3)₋₁陈 - 西蒙斯规范场耦合的电荷 - e/3“夸克”费米面的竞争不稳定性来实现，该规范场与更传统的准空穴U(1)₃陈 - 西蒙斯 - 金兹堡 - 朗道理论对偶。例如，一系列电子超导体源于色超导，费米面在此过程中经历由规范涨落介导的配对不稳定性。这些包括超导与拓扑序共存的SC★相，以及夸克弱配对时显示半整数手征中心电荷的拓扑超导体。另一方面，当夸克形成巡游铁磁体时，超导和非费米液相都可能出现。最后，我们的框架自然地考虑了任意子束缚态形成的可能性。我们的工作将许多早期提出的任意子相统一为单个母夸克金属相的不稳定性，将它们的出现归结为超导和巡游色铁磁体之间的竞争。
英文摘要
The recently observed signatures of superconductivity proximate to a fractional quantum anomalous Hall (FQAH) state in a twisted MoTe$_2$ bilayer has revitalized interest in quantum phases of matter induced by anyon dynamics. Here we show how a panoply of anyon-driven phases associated with doping the lattice ${ν=2/3}$ FQAH state can be realized as competing instabilities of a Fermi surface of charge-$e/3$ ``quarks'' coupled to a $\mathrm{SU}(3)_{-1}$ Chern-Simons gauge field, which is dual to the more conventional $\mathrm{U}(1)_3$ Chern-Simons-Ginzburg-Landau theory of quasiholes. For example, a range of electronic superconductors emerge from \emph{color superconductivity}, under which the Fermi surface experiences a pairing instability mediated by gauge fluctuations. These include SC$\star$ phases -- where superconductivity coexists with topological order -- as well as topological superconductors displaying half-integer chiral central charges when the quarks are weakly paired. One example is a $p+ip$ ``color-valley-locked'' superconductor, a topological analogue of the color superconductor familiar in quantum chromodynamics. On the other hand, both superconducting and non-Fermi liquid phases can emerge when the quarks form an itinerant ferromagnet, polarizing the Fermi surface to a particular combination of colors. Finally, our framework naturally accommodates the possibility of anyonic bound state formation, allowing access to phases induced by doping anyons of charge $2e/3$ as opposed to $e/3$ within the same model. Our work unifies many earlier proposed anyonic phases as instabilities of a single parent \emph{quark metal} phase, distilling their emergence into a competition between superconductivity and itinerant color ferromagnetism.
