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Anyon delocalization transitions out of a disordered FQAH insulator

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arxiv 2506.02128 v2 pith:BFUIFNR6 submitted 2025-06-02 cond-mat.str-el

Zhengyan Darius Shi , T. Senthil This is my paper
classification cond-mat.str-el
keywords transitiondisorderquantumstateanomalousanyonchargedelocalization
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abstract

Motivated by the experimental discovery of the fractional quantum anomalous Hall (FQAH) effect, we develop a theory of doping-induced transitions out of the $\nu = 2/3$ lattice Jain state in the presence of quenched disorder. We show that disorder strongly affects the evolution into the conducting phases described in our previous work. The delocalization of charge $2/3$ anyons leads to a chiral topological superconductor through a direct second order transition for a smooth random potential with long-wavelength modulations. The longitudinal resistance has a universal peak at the associated quantum critical point. Close to the transition, we show that the superconducting ground state is an ``Anomalous Vortex Glass (AVG)'' stabilized in the absence of an external magnetic field. For short-wavelength disorder, this transition generically splits into three distinct ones with intermediate insulating topological phases. If instead, the charge $1/3$ anyon delocalizes, then at low doping the result is a Reentrant Integer Quantum Hall state with $\rho_{xy} = h/e^2$. At higher doping this undergoes a second transition to a Fermi liquid metal. We show that this framework provides a plausible explanation for the complex phase diagram recently observed in twisted MoTe$_2$ near $\nu = 2/3$ and discuss future experiments that can test our theory in more detail.

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Cited by 9 Pith papers

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  1. Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid

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    cond-mat.str-el 2026-07 conditional novelty 6.5 of 10

    Lightly doped 2/3 FQAH anyons form U(3)-symmetric Z3 Orthogonal Metals of charge-1/3 fermions that explain large resistivity and pair into ordinary 2e superconductors.

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