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Fractionalization in the cuprates: Detecting the topological order

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abstract

The precise theoretical characterization of a fractionalized phase in spatial dimensions higher than one is through the concept of ``topological order''. We describe a physical effect that is a robust and direct consequence of this hidden order that should enable a precise experimental characterization of fractionalized phases. In particular, we propose specific ``smoking-gun'' experiments to unambiguously settle the issue of electron fractionalization in the underdoped cuprates.

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Anyon delocalization transitions out of a disordered FQAH insulator

cond-mat.str-el · 2025-06-02 · conditional · novelty 6.0

A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while charge-1/3 anyons produce a reentrant integer quantum Hall state.

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  • Anyon delocalization transitions out of a disordered FQAH insulator cond-mat.str-el · 2025-06-02 · conditional · none · ref 29 · internal anchor

    A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while charge-1/3 anyons produce a reentrant integer quantum Hall state.