Anyon delocalization transitions out of a disordered fractional quantum anomalous Hall insulator
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shi-senthil-2025-anyon-delocalization-transitions-out-of-a-disordered-fractional-quantum-anomalous-hall-insulator.pdf
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Author(s)
Shi, Zhengyan Darius
Todadri, Senthil
Date Issued
December 19, 2025
Journal
PNAS
Publisher
National Academy of Sciences
Citation
Z.D. Shi, & T. Senthil, Anyon delocalization transitions out of a disordered fractional quantum anomalous Hall insulator, Proc. Natl. Acad. Sci. U.S.A. 122 (51) e2520608122, (2025).
Version
Final published version
Abstract
Motivated by the experimental discovery of the fractional quantum anomalous Hall
effect, we develop a theory of doping-induced transitions out of the = 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 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” 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 resulting phase is a Reentrant Integer Quantum
Hall state with 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 MoTe2 near = 2/3 and
discuss future experiments that can test our theory in more detail.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1073/pnas.2520608122
