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Non-Abelian Anyon Superconductivity

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arxiv cond-mat/0703097 v1 pith:LEJHN357 submitted 2007-03-03 cond-mat.str-el

Waheb Bishara , Chetan Nayak This is my paper · ORCID
classification cond-mat.str-el
keywords kappagroundnon-abelianstateanyonscertainexistpairing
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abstract

Non-Abelian Anyons exist in certain spin models and may exist in Quantuam Hall systems at certain filling fractions. In this work we studied the ground state of dynamical SU(2) level-$\kappa$ Chern Simons non-Abelian anyons at finite density and no external magnetic field. We find that in the large-$\kappa$ limit the topological interaction induces a pairing instability and the ground state is a superconductor with $\it{d+id}$ gap symmetry. We also develop a picture of pairing for the special value $\kappa=2$ and argue that the ground state is a superfluid of pairs for all values of $\kappa$.

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Cited by 2 Pith papers

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  1. Doping lattice non-abelian quantum Hall states

    cond-mat.str-el 2025-05 conditional novelty 8.0 of 10

    Doping lattice Read-Rezayi states with their minimal non-abelian anyons gives charge-2 or charge-k superconductors for even k, and for odd k either superconductivity or a charge-k Fermi liquid with period-(k+2) charge...

  2. Coloring in anyon superconductivity

    cond-mat.str-el 2026-07 conditional novelty 6.0 of 10

    Doping the ν=2/3 FQAH state produces a unifying 'quark metal' of charge-e/3 fermions whose superconducting and ferromagnetic instabilities reproduce and extend the known zoo of anyon-driven superconductors.

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