2026/07/21 by Umang Mehta, Yuto Nakajima, Hart Goldman
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el #hep-th
70 pages, 4 figures, 2 tables, 6 appendices. We are grateful to Zheng-Duo Fan, Ashvin Vishwanath, and Zijian Wang for pointing out an error in the originally posted version of the manuscript. Section 3 and Appendix F have been revised along with other minor revisions
arxiv created 2026/07/29 · arxiv updated 2026/07/30
The recently observed signatures of superconductivity proximate to a fractional quantum anomalous Hall (FQAH) state in a twisted MoTe2 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 SU(3)-1 Chern-Simons gauge field, which is dual to the more conventional U(1)3 Chern-Simons-Ginzburg-Landau theory of quasiholes. For example, a range of electronic superconductors emerge from color superconductivity, under which the Fermi surface experiences a pairing instability mediated by gauge fluctuations. These include SC⋆ 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 quark metal phase, distilling their emergence into a competition between superconductivity and itinerant color ferromagnetism.